National Science Foundation
Army Research Office, National Automotive Center, TARDEC
US Air Force Office of Scientific Research, Office of Naval Research
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Bidram, A.; Davoudi, A.; Lewis, F.L., “A Multiobjective Distributed Control Framework for Islanded AC Microgrids,” IEEE Trans. Industrial Informatics, Volume 10, no. 3, Pages: 1785 – 1798, 2014.
Ling-ling Fan, V. Nasirian, H. Modares, F.L. Lewis, Y.D. Song, and A. Davoudi, “Game-theoretic Control of Active Loads in DC Microgrids,” IEEE Trans. Energy Conversion, vol. 31, no. 3, pp. 882-895, 2016.
V. Nasirian, H. Modares, F. Lewis, and A. Davoudi, "Active loads of a microgrid as players in a differential game," Proc. IEEE 7th International Symposium on Resilient Control Systems, Paper ID: ID-000388, Aug. 2015
K.G. Vamvoudakis, F.L. Lewis, and G.R. Hudas, “Multi-Agent Differential Graphical Games: online adaptive learning solution for synchronization with optimality,” Automatica, vol. 48, no. 8, pp. 1598-1611, Aug. 2012.
M. Abouheaf, K. Vamvoudakis, S. Haesaert, F. Lewis, and R. Babuska, “Multi-Agent Discrete-Time Graphical Games and Reinforcement Learning Solutions,” Automatica, Vol. 50(12), pp. 3038-3053, 2014.
M. Abouheaf, F. Lewis, M. Mahmoud, and D. Mikulski, “Discrete-Time Dynamic Graphical Games: Model-Free Reinforcement Learning Solution,” Control Theory and Technology, vol. 13(1), pp. 333-347, 2015.
 L. Zhu, H. Modares, Gan Oon Peen, F.L. Lewis, and Baozeng Yue, “Adaptive Suboptimal Output-Feedback Control for Linear Systems Using Integral Reinforcement Learning,” IEEE Trans. Control Systems Technology, vol. 23, no. 1, pp. 264-273, Jan. 2015.
AD HDP (Q learning)
 A. Al-Tamimi, M. Abu-Khalaf, and F.L. Lewis, “Adaptive Critic Designs for Discrete-Time Zero-Sum Games with Application to H-Infinity Control,” IEEE Trans. Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 37, no. 1, pp. 240-247, Feb. 2007.
A. Al-Tamimi, F.L. Lewis, and
M. Abu-Khalaf, “Model-free Q-learning designs for linear discrete-time zero-
 B. Kiumarsi, F.L. Lewis, H. Modares, and M.B. Naghibi-Sistani, “Reinforcement Q-Learning for Optimal Tracking Control of Linear Discrete-time Systems with Unknown Dynamics,” Automatica, vol. 50, pp. 1167-1175, 2014.
 D. Vrabie, O. Pastravanu, M. Abu-Khalaf, and F. L. Lewis, “Adaptive optimal control for continuous-time linear systems based on policy iteration,” Automatica, vol. 45, pp. 477-484, 2009.
D. Vrabie and F.L. Lewis
F.L. Lewis and K.G. Vamvoudakis, “Reinforcement learning for partially observable dynamic processes: adaptive dynamic programming using measured output data,” IEEE Trans. Systems, Man, And Cybernetics- Part B: vol. 41, no. 1, pp. 14-25, Feb. 2011.
K. Vamvoudakis, D. Vrabie, and F. Lewis, “Online policy
iteration based algorithms to solve the continuous-time infinite horizon
optimal control problem, “Proc. IEEE Symp. ADPRL, pp.
 K.G. Vamvoudakis and F. L. Lewis, “Online Actor Critic Algorithm to Solve the Continuous-Time Infinite Horizon Optimal Control Problem,” Proc. Int. Joint Conf. on Neural Networks, pp. 3180-3187, Atlanta, June 2009.
 F.L. Lewis, K. Liu, and A. Yesildirek, “Neural net robot controller with guaranteed tracking performance,” IEEE Trans. Neural Networks, vol. 6, no. 3, pp. 703-715, 1995.
 F.L. Lewis, A. Yesildirek, and K. Liu, “Multilayer neural net robot controller with guaranteed tracking performance, IEEE Trans. Neural Networks, vol. 7, no. 2, pp. 388-399, Mar. 1996.
 M. Abu-Khalaf, J. Huang, and F.L. Lewis, Nonlinear H2/H-Infinity Constrained Feedback Control: A Practical Design Approach Using Neural Networks, Springer-Verlag, Berlin, 2006.
 M. Abu-Khalaf and F.L. Lewis, “Nearly optimal control laws for nonlinear systems with saturating actuators using a neural network HJB approach,” Automatica, vol. 41, pp. 779-791, 2005.
 M. Abu-Khalaf, F.L. Lewis, and J. Huang, “Neurodynamic Programming and Zero-Sum Games for Constrained Control Systems,” IEEE Trans. Neural Networks, vol. 19, no. 7, pp. 1243-1252, July 2008.
 J. Gadewadikar, Frank L. Lewis, L. Xie, V. Kucera and M. Abu-Khalaf, “Parameterization of all stabilizing H∞ static state-feedback gains: Application to output-feedback design,” Automatica, vol. 43, no. 9, pp. 1597-1604, September 2007.
 J. Gadewadikar; F.L. Lewis; K. Subbarao; B. M. Chen, “Structured H-Infinity Command and Control-Loop Design for Unmanned Helicopters,” J. Guidance, Control, and Dynamics, vol.31, no.4 , pp. 1093-1102, 2008.
 A. Das, F.L. Lewis, and K. Subbarao, “Backstepping approach for controlling a quadrotor using Lagrangian form dynamics,” J. Intelligent & Robotic Systems, vol. 56, no. 1-2, pp. 127-152, Sept. 2009.
 D. Tacconi and F.L. Lewis, “A new matrix model for discrete event systems: application to simulation,” IEEE Control Systems Magazine, pp. 62-71, Oct. 1997.
 J. Mireles and F.L. Lewis, “Intelligent Material Handling: Development and implementation of a matrix-based discrete-event controller,” IEEE Trans. Industrial Electronics, vol. 48, no. 6, pp. 1087-1097, Dec. 2001.
 V. Giordano, P.Ballal, F.L. Lewis, B. Turchiano, J.B. Zhang, “Supervisory control of mobile sensor networks: matrix formulation, simulation and implementation,” IEEE Trans. Systems, Man, Cybernetics- Part B, vol. 36, no. 4, pp. 806-819, Aug. 2006.
 P. Ballal and F.L. Lewis, “Deadlock free dynamic resource assignment in multi-robot systems with multiple missions: Application in Wireless Sensor Networks”, J. Control Theory and Applications, 2009, to appear.