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Publications about 'Optimal control'
Theses
  1. S. Hassan-Moghaddam. Analysis, design, and optimization of large-scale networks of dynamical systems. PhD thesis, University of Southern California, 2019. Keyword(s): Consensus, Control for optimization, Convex Optimization, Distributed control, Forward-backward envelope, Douglas-Rachford splitting, Global exponential stability, Integral quadratic constraints, Networks of dynamical systems, Non-smooth optimization, Polyak-Lojasiewicz inequality, Proximal algorithms, Primal-dual methods, Proximal augmented Lagrangian, Regularization for design, Sparse graphs, Sparsity-promoting optimal control, Structured optimal control, Structure identification, Topology design. [bibtex-entry]


  2. N. K. Dhingra. Optimization and control of large-scale networked systems. PhD thesis, University of Minnesota, 2017. Keyword(s): Augmented Lagrangian, Combination drug therapy, Convex optimization, Directed networks, Leader selection, Method of multipliers, Non-smooth optimization, Optimization, Proximal algorithms, Proximal augmented Lagrangian, Regularization, Second order primal-dual method, Sparsity-promoting optimal control, Structured optimal control, Structure identification. [bibtex-entry]


  3. X. Wu. Sparsity-promoting optimal control of power networks. PhD thesis, University of Minnesota, 2016. Keyword(s): Alternating direction method of multipliers, Distributed PI-control, Performance of large-scale networks, Power networks, Sparsity-promoting optimal control, Synchronization, Topology design, Wide-area control. [bibtex-entry]


  4. F. Lin. Structure identification and optimal design of large-scale networks of dynamical systems. PhD thesis, University of Minnesota, 2012. Keyword(s): Alternating direction method of multipliers, Architectural issues in distributed control design, Consensus networks, Control of vehicular formations, Convex Optimization, Leader selection, Sparsity-promoting optimal control. [bibtex-entry]


Journal articles
  1. H. Mohammadi, M. Soltanolkotabi, and M. R. Jovanovic. On the linear convergence of random search for discrete-time LQR. IEEE Control Syst. Lett., 5(3):989-994, July 2021. Keyword(s): Data-driven control, Gradient descent, Linear quadratic regulator, Model-free control, Nonconvex optimization, Optimization, Optimal control, Random search method, Reinforcement learning, Sample complexity. [bibtex-entry]


  2. H. Mohammadi, A. Zare, M. Soltanolkotabi, and M. R. Jovanovic. Convergence and sample complexity of gradient methods for the model-free linear quadratic regulator problem. IEEE Trans. Automat. Control, 2021. Note: Doi:10.1109/TAC.2021.3087455; also arXiv:1912.11899. Keyword(s): Data-driven control, Gradient descent, Gradient-flow dynamics, Linear quadratic regulator, Model-free control, Nonconvex optimization, Optimization, Optimal control, Polyak-Lojasiewicz inequality, Random search method, Reinforcement learning, Sample complexity. [bibtex-entry]


  3. A. Zare, H. Mohammadi, N. K. Dhingra, T. T. Georgiou, and M. R. Jovanovic. Proximal algorithms for large-scale statistical modeling and sensor/actuator selection. IEEE Trans. Automat. Control, 65(8):3441-3456, August 2020. Keyword(s): Actuator selection, Augmented Lagrangian, Convex optimization, Low-rank perturbation, Matrix completion problem, Method of multipliers, Non-smooth optimization, Proximal algorithms, Regularization for design, Sensor selection, Sparsity-promoting optimal control, Structured covariances. [bibtex-entry]


  4. N. K. Dhingra, M. Colombino, and M. R. Jovanovic. Structured decentralized control of positive systems with applications to combination drug therapy and leader selection in directed networks. IEEE Trans. Control Netw. Syst., 6(1):352-362, March 2019. Keyword(s): Combination drug therapy, Convex optimization, Directed Networks, Leader selection, Positive systems, Proximal algorithms, Optimization, Sparsity-promoting optimal control, Structured design. [bibtex-entry]


  5. N. K. Dhingra, S. Z. Khong, and M. R. Jovanovic. The proximal augmented Lagrangian method for nonsmooth composite optimization. IEEE Trans. Automat. Control, 64(7):2861-2868, July 2019. Keyword(s): Augmented Lagrangian, Control for optimization, Exponential convergence, Global exponential stability, Method of multipliers, Non-smooth optimization, Primal-dual gradient flow dynamics, Proximal algorithms, Proximal augmented Lagrangian, Regularization for design, Sparsity-promoting optimal control, Structured optimal control, Structure identification. [bibtex-entry]


  6. N. K. Dhingra, S. Z. Khong, and M. R. Jovanovic. A second order primal-dual method for nonsmooth convex composite optimization. IEEE Trans. Automat. Control, 2017. Note: Conditionally accepted; also arXiv:1709.01610. Keyword(s): Augmented Lagrangian, Exponential convergence, Global exponential stability, Method of multipliers, Non-smooth optimization, Proximal algorithms, Proximal augmented Lagrangian, Regularization for design, Second order primal-dual method, Sparsity-promoting optimal control, Structured optimal control, Structure identification. [bibtex-entry]


  7. X. Wu and M. R. Jovanovic. Sparsity-promoting optimal control of systems with symmetries, consensus and synchronization networks. Syst. Control Lett., 103:1-8, May 2017. Keyword(s): Alternating direction method of multipliers, Consensus and synchronization networks, Distributed systems, Regularization, Sparsity-promoting optimal control, Spatially-invariant systems. [bibtex-entry]


  8. M. R. Jovanovic and N. K. Dhingra. Controller architectures: tradeoffs between performance and structure. Eur. J. Control, 30:76-91, July 2016. Keyword(s): Controller architecture, Convex optimization, Distributed control, Networks of dynamical systems, Non-smooth optimization, Performance vs. complexity, Regularization, Sparsity-promoting optimal control, Structured optimal control, Structure identification. [bibtex-entry]


  9. X. Wu, F. Dorfler, and M. R. Jovanovic. Input-output analysis and decentralized optimal control of inter-area oscillations in power systems. IEEE Trans. Power Syst., 31(3):2434-2444, May 2016. Keyword(s): Alternating direction method of multipliers, Performance of large-scale networks, Power networks, Sparsity-promoting optimal control, Synchronization, Wide-area control. [bibtex-entry]


  10. F. Dorfler, M. R. Jovanovic, M. Chertkov, and F. Bullo. Sparsity-promoting optimal wide-area control of power networks. IEEE Trans. Power Syst., 29(5):2281-2291, September 2014. Keyword(s): Alternating direction method of multipliers, Power networks, Sparsity-promoting optimal control, Wide-area control. [bibtex-entry]


  11. F. Lin, M. Fardad, and M. R. Jovanovic. Design of optimal sparse feedback gains via the alternating direction method of multipliers. IEEE Trans. Automat. Control, 58(9):2426-2431, September 2013. Keyword(s): Alternating direction method of multipliers, Architectural issues in distributed control design, Cardinality minimization, Distributed control, Optimization, Sparsity-promoting optimal control. [bibtex-entry]


  12. F. Lin, M. Fardad, and M. R. Jovanovic. Optimal control of vehicular formations with nearest neighbor interactions. IEEE Trans. Automat. Control, 57(9):2203-2218, September 2012. Keyword(s): Architectural issues in distributed control design, Distributed control, Optimal localized control, Control of vehicular formations, Large-scale networks, Fundamental limitations. [bibtex-entry]


  13. M. Fardad and M. R. Jovanovic. Design of optimal controllers for spatially invariant systems with finite communication speed. Automatica, 47(5):880-889, May 2011. Keyword(s): Architectural issues in distributed control design, Distributed control, Optimal localized control. [bibtex-entry]


Conference articles
  1. H. Mohammadi, M. Soltanolkotabi, and M. R. Jovanovic. On the lack of gradient domination for linear quadratic Gaussian problems with incomplete state information. In Proceedings of the 60th IEEE Conference on Decision and Control, Austin, TX, 2021. Note: Submitted. Keyword(s): Data-driven control, Gradient descent, Gradient-flow dynamics, Model-free control, Nonconvex optimization, Optimization, Optimal control, Polyak-Lojasiewicz inequality, Random search method, Reinforcement learning, Sample complexity. [bibtex-entry]


  2. H. Mohammadi, M. Soltanolkotabi, and M. R. Jovanovic. Learning the model-free linear quadratic regulator via random search. In Proceedings of Machine Learning Research, 2nd Annual Conference on Learning for Dynamics and Control, volume 120, Berkeley, CA, pages 1-9, 2020. Keyword(s): Data-driven control, Gradient descent, Gradient-flow dynamics, Linear quadratic regulator, Model-free control, Nonconvex optimization, Optimization, Optimal control, Polyak-Lojasiewicz inequality, Random search method, Reinforcement learning, Sample complexity. [bibtex-entry]


  3. H. Mohammadi, M. Soltanolkotabi, and M. R. Jovanovic. Random search for learning the linear quadratic regulator. In Proceedings of the 2020 American Control Conference, Denver, CO, pages 4798-4803, 2020. Keyword(s): Data-driven control, Gradient descent, Gradient-flow dynamics, Linear quadratic regulator, Model-free control, Nonconvex optimization, Optimization, Optimal control, Polyak-Lojasiewicz inequality, Random search method, Reinforcement learning, Sample complexity. [bibtex-entry]


  4. S. Hassan-Moghaddam, M. R. Jovanovic, and S. Meyn. Data-driven proximal algorithms for the design of structured optimal feedback gains. In Proceedings of the 2019 American Control Conference, Philadelphia, PA, pages 5846-5850, 2019. Keyword(s): Data-driven feedback design, Large-scale systems, Non-smooth optimization, Proximal algorithms, Reinforcement learning, Sparsity-promoting optimal control, Structured optimal control. [bibtex-entry]


  5. H. Mohammadi, A. Zare, M. Soltanolkotabi, and M. R. Jovanovic. Global exponential convergence of gradient methods over the nonconvex landscape of the linear quadratic regulator. In Proceedings of the 58th IEEE Conference on Decision and Control, Nice, France, pages 7474-7479, 2019. Keyword(s): Data-driven control, Global exponential stability, Gradient descent, Gradient-flow dynamics, Model-free control, Nonconvex optimization, Optimization, Optimal control, Reinforcement learning. [bibtex-entry]


  6. N. K. Dhingra, S. Z. Khong, and M. R. Jovanovic. A second order primal-dual algorithm for non-smooth convex composite optimization. In Proceedings of the 56th IEEE Conference on Decision and Control, Melbourne, Australia, pages 2868-2873, 2017. Keyword(s): Augmented Lagrangian, Method of multipliers, Non-smooth optimization, Proximal methods, Regularization, Sparsity-promoting optimal control, Structured optimal control, Structure identification. [bibtex-entry]


  7. S. Hassan-Moghaddam and M. R. Jovanovic. Distributed design of optimal structured feedback gains. In Proceedings of the 56th IEEE Conference on Decision and Control, Melbourne, Australia, pages 6586-6591, 2017. Keyword(s): Alternating direction method of multipliers, Consensus, Distributed control, Optimization, Sparsity-promoting optimal control, Structured optimal control. [bibtex-entry]


  8. S. Hassan-Moghaddam, X. Wu, and M. R. Jovanovic. Edge addition in directed consensus networks. In Proceedings of the 2017 American Control Conference, Seattle, WA, pages 5592-5597, 2017. Keyword(s): Alternating direction method of multipliers, Consensus, Directed networks, Nonconvex optimization, Sparsity-promoting optimal control. [bibtex-entry]


  9. A. Zare, N. K. Dhingra, M. R. Jovanovic, and T. T. Georgiou. Structured covariance completion via proximal algorithms. In Proceedings of the 56th IEEE Conference on Decision and Control, Melbourne, Australia, pages 3775-3780, 2017. Keyword(s): Augmented Lagrangian, Convex optimization, Low-rank perturbation, Matrix completion problem, Method of multipliers, Non-smooth optimization, Proximal methods, Regularization, Sparsity-promoting optimal control, Structured covariances. [bibtex-entry]


  10. M. Colombino, N. K. Dhingra, M. R. Jovanovic, A. Rantzer, and R. S. Smith. On the optimal control problem for a class of monotone bilinear systems. In Proceedings of the 22nd International Symposium on Mathematical Theory of Network and Systems, Minneapolis, MN, pages 411-413, 2016. Note: (Invited paper). Keyword(s): Convex optimization, Networks, Monotone systems, Positive systems, Proximal algorithms, Optimization, Sparsity-promoting optimal control, Structured design. [bibtex-entry]


  11. M. Colombino, N.K. Dhingra, M. R. Jovanovic, and R. S. Smith. Convex reformulation of a robust optimal control problem for a class of positive systems. In Proceedings of the 55th IEEE Conference on Decision and Control, Las Vegas, NV, pages 5263-5268, 2016. Note: (Invited paper). Keyword(s): Combination drug therapy, Convex optimization, Networks, Positive systems, Proximal algorithms, Optimization, Sparsity-promoting optimal control, Structured design, Robust Control. [bibtex-entry]


  12. N. K. Dhingra, M. Colombino, and M. R. Jovanovic. On the convexity of a class of structured optimal control problems for positive systems. In Proceedings of the 2016 European Control Conference, Aalborg, Denmark, pages 825-830, 2016. Keyword(s): Combination drug therapy, Convex optimization, Leader selection, Networks, Positive systems, Proximal algorithms, Optimization, Sparsity-promoting optimal control, Structured design. [bibtex-entry]


  13. N. K. Dhingra and M. R. Jovanovic. A method of multipliers algorithm for sparsity-promoting optimal control. In Proceedings of the 2016 American Control Conference, Boston, MA, pages 1942-1947, 2016. Note: (Invited paper). Keyword(s): Augmented Lagrangian, Method of multipliers, Proximal algorithms, Optimization, Sparsity-promoting optimal control. [bibtex-entry]


  14. N. K. Dhingra, X. Wu, and M. R. Jovanovic. Sparsity-promoting optimal control of systems with invariances and symmetries. In Proceedings of the 10th IFAC Symposium on Nonlinear Control Systems, Monterey, CA, pages 648-653, 2016. Keyword(s): Architectural issues in distributed control design, Cardinality minimization, Convex optimization, Distributed control, Sparsity-promoting optimal control, Spatially-invariant systems, Symmetric systems. [bibtex-entry]


  15. X. Wu, F. Dorfler, and M. R. Jovanovic. Topology identification and design of distributed integral action in power networks. In Proceedings of the 2016 American Control Conference, Boston, MA, pages 5921-5926, 2016. Keyword(s): Alternating direction method of multipliers, Distributed PI-control, Power systems, Sparsity-promoting optimal control, Topology identification. [bibtex-entry]


  16. A. Zare, M. R. Jovanovic, and T. T. Georgiou. Perturbation of system dynamics and the covariance completion problem. In Proceedings of the 55th IEEE Conference on Decision and Control, Las Vegas, NV, pages 7036-7041, 2016. Keyword(s): Convex optimization, Low-rank perturbation, Matrix completion problems, Sparsity-promoting optimal control, Structured covariances. [bibtex-entry]


  17. V. Purba, X. Wu, M. Sinha, S. V. Dhople, and M. R. Jovanovic. Design of optimal coupling gains for synchronization of nonlinear oscillators. In Proceedings of the 54th IEEE Conference on Decision and Control, Osaka, Japan, pages 1310-1315, 2015. Keyword(s): Alternating direction method of multipliers, Power systems, Sparsity-promoting optimal control, Synchronization, Weakly nonlinear oscillators. [bibtex-entry]


  18. X. Wu, F. Dorfler, and M. R. Jovanovic. Decentralized optimal control of inter-area oscillations in bulk power systems. In Proceedings of the 54th IEEE Conference on Decision and Control, Osaka, Japan, pages 5532-5537, 2015. Keyword(s): Decentralized control, Input-output analysis, Inter-area oscillations, Power systems, Sparsity-promoting optimal control, Synchronization, Wide-area control. [bibtex-entry]


  19. M. Fardad and M. R. Jovanovic. On the design of optimal structured and sparse feedback gains using semidefinite programming. In Proceedings of the 2014 American Control Conference, Portland, OR, pages 2438-2443, 2014. Keyword(s): Architectural issues in distributed control design, Cardinality minimization, Convex optimization, Distributed control, Sparsity-promoting optimal control. [bibtex-entry]


  20. X. Wu, F. Dorfler, and M. R. Jovanovic. Analysis and design trade-offs for power network inter-area oscillations. In Proceedings of the 21st International Symposium on Mathematical Theory of Network and Systems, Groningen, The Netherlands, pages 657-663, 2014. Note: (Invited paper). Keyword(s): Performance of large-scale networks, Power networks, Sparsity-promoting optimal control, Wide-area control. [bibtex-entry]


  21. X. Wu and M. R. Jovanovic. Sparsity-promoting optimal control of consensus and synchronization networks. In Proceedings of the 2014 American Control Conference, Portland, OR, pages 2948-2953, 2014. Keyword(s): Consensus, Distributed control, Oscillator networks, Sparse graphs, Synchronization. [bibtex-entry]


  22. D. M. Zoltowski, N. K. Dhingra, F. Lin, and M. R. Jovanovic. Sparsity-promoting optimal control of spatially-invariant systems. In Proceedings of the 2014 American Control Conference, Portland, OR, pages 1261-1266, 2014. Keyword(s): Architectural issues in distributed control design, Cardinality minimization, Convex optimization, Distributed control, Sparsity-promoting optimal control, Spatially-invariant systems. [bibtex-entry]


  23. F. Dorfler, M. R. Jovanovic, M. Chertkov, and F. Bullo. Sparse and optimal wide-area damping control in power networks. In Proceedings of the 2013 American Control Conference, Washington, DC, pages 4295-4300, 2013. Keyword(s): Alternating direction method of multipliers, Power networks, Sparsity-promoting optimal control, Wide-area control. [bibtex-entry]


  24. M. R. Jovanovic and F. Lin. Sparse quadratic regulator. In Proceedings of the 12th European Control Conference, Zurich, Switzerland, pages 1047-1052, 2013. Keyword(s): Alternating direction method of multipliers, Cardinality minimization, Distributed control, Optimization, Sparsity-promoting optimal control. [bibtex-entry]


  25. F. Lin, M. Fardad, and M. R. Jovanovic. Sparse feedback synthesis via the alternating direction method of multipliers. In Proceedings of the 2012 American Control Conference, Montréal, Canada, pages 4765-4770, 2012. Keyword(s): Architectural issues in distributed control design, Distributed control, Optimal localized control, Sparsity-promoting optimal control. [bibtex-entry]


  26. M. Fardad, F. Lin, and M. R. Jovanovic. Sparsity-promoting optimal control for a class of distributed systems. In Proceedings of the 2011 American Control Conference, San Francisco, CA, pages 2050-2055, 2011. Keyword(s): Architectural issues in distributed control design, Distributed control, Optimal localized control, Sparsity-promoting optimal control. [bibtex-entry]


  27. R. Moarref, B. K. Lieu, and M. R. Jovanovic. Spatially-localized optimal control of transition to turbulence. In Proceedings of the 2011 American Control Conference, San Francisco, CA, pages 3577-3582, 2011. Keyword(s): Flow modeling and control, Navier-Stokes equations, Input-output analysis, Energy amplification, Transition to turbulence. [bibtex-entry]


  28. M. Fardad, F. Lin, and M. R. Jovanovic. On the dual decomposition of linear quadratic optimal control problems for vehicular formations. In Proceedings of the 49th IEEE Conference on Decision and Control, Atlanta, GA, pages 6287-6292, 2010. [bibtex-entry]


  29. M. Fardad and M. R. Jovanovic. On the state-space design of optimal controllers for distributed systems with finite communication speed. In Proceedings of the 47th IEEE Conference on Decision and Control, Cancun, Mexico, pages 5488-5493, 2008. Keyword(s): Architectural issues in distributed control design, Distributed control, Localized control. [bibtex-entry]


Book chapters
  1. H. Mohammadi, M. Soltanolkotabi, and M. R. Jovanovic. Model-free linear quadratic regulator. In K. G. Vamvoudakis, Y. Wan, F. Lewis, and D. Cansever, editors, Handbook of Reinforcement Learning and Control. Springer International Publishing, 2021. Note: Doi:10.1007/978-3-030-60990-0. Keyword(s): Data-driven control, Gradient descent, Gradient-flow dynamics, Linear quadratic regulator, Model-free control, Nonconvex optimization, Optimization, Optimal control, Polyak-Lojasiewicz inequality, Random search method, Reinforcement learning, Sample complexity. [bibtex-entry]



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