Event-triggered optimal adaptive control algorithm for continuous-time nonlinear systems

IEEE/CAA Journal of Automatica Sinica

Volumn 1, Issue 3, 2014, Pages 282-293

  Vamvoudakis, Kyriakos G ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

adaptive control; Event triggered; optimal control; reinforcement learning

Indexed keywords

CLOSED LOOP SYSTEMS; CONTINUOUS TIME SYSTEMS; CONTROLLERS; IMPULSE RESPONSE; NEURAL NETWORKS; NONLINEAR CONTROL SYSTEMS; ORDINARY DIFFERENTIAL EQUATIONS; REINFORCEMENT LEARNING;

ADAPTIVE CONTROL; CONTINUOUS TIME NONLINEAR SYSTEMS; EVENT-TRIGGERED; EVENT-TRIGGERED CONTROLS; NEURAL NETWORK STRUCTURES; NONLINEAR CONTINUOUS-TIME SYSTEMS; OPTIMAL ADAPTIVE CONTROLS; OPTIMAL CONTROLS;

ADAPTIVE CONTROL SYSTEMS;

EID: 84921381789     PISSN: 23299266     EISSN: 23299274     Source Type: Journal    
DOI: 10.1109/JAS.2014.7004686     Document Type: Article

References (25)

1. Heemels W P MH, Donkers M CF, Teel AR. Periodic event-triggered control for linear systems. IEEE Transactions on Automatic Control, 2013, 58(4): 847-861
2. Lemmon MD. Event-triggered feedback in control, estimation, and optimization,. Networked Control Systems vol. 405: Lecture Notes in Control and Information Sciences. Heidelberg: Springer-Verlag, 2010. 293-358
3. Tabuada P. Event-triggered real-time scheduling of stabilizing control tasks. IEEE Transactions on Automatic Control, 2007, 52(9): 1680-1685
4. Lewis FL, Vrabie D, Vamvoudakis KG. Reinforcement learning and feedback control: using natural decision methods to design optimal adaptive controllers. IEEE Control Systems, 2012, 32(6): 76-105
5. Haddad WM, Chellaboina V, Nersesov SG. Impulsive and Hybrid Dynamical Systems: Stability, Dissipativity, and Control. Princeton, NJ: Princeton University Press, 2006
6. Hespanha JP, Liberzon D, Teel AR. Lyapunov conditions for inputto- state stability of impulsive systems. Automatica, 2008, 44(11): 2735-2744
7. Naghshtabrizi P, Hespanha JP, Teel AR. Exponential stability of impulsive systems with application to uncertain sampled-data systems. Systems and Control Letters, 2008, 57(5): 378-385
8. Donkers M CF, Heemels W P MH. Output-based event-triggered control with guaranteed L8-gain and improved and decentralised event-triggering. IEEE Transactions on Automatic Control, 2012, 57(6): 1362-1376
9. Wang X, Lemmon MD. On event design in event-triggered feedback systems. Automatica, 2012, 47(10): 2319-2322
10. Demir O, Lunze J. Cooperative control of multi-agent systems with event-based communication. In: Proceedings of the 2012 American Control Conference. Montreal, QC: IEEE, 2012. 4504-4509
11. Lehman D, Lunze J. Event-based control with communication delays. In: Proceedings of the 2011 IFAC World Congress. Milano, Italy: IFAC, 2011. 3262-3267
12. Molin A, Hirche S. Suboptimal event-based control of linear systems over lossy channels estimation and control of networked systems. In: Proceedings of the 2nd IFAC Workshop on Distributed Estimation and Control in Networked Systems. Palace, France: IFAC, 2010. 55-60
13. Garcia E, Antsaklis PJ. Model-based event-triggered control with timevarying network delays. In: Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference. Orlando, FL: IEEE, 2011. 1650-1655
14. Lewis FL, Syrmos VL. Optimal Control. New York: John Wiley, 1995
15. Barradas B, de Jesús J, Gommans T MP, Heemels M. Self-triggered MPC for constrained linear systems and quadratic costs. In: Proceedings of the 2012 IFAC Conference on Nonlinear Model Predictive Control. Leeuwenhorst, Netherlands: IFAC, 2012. 342-348
16. Ioannou PA, Fidan B. Adaptive Control Tutorial. Advances in design and control, SIAM (PA), 2006
17. Loría A. Explicit convergence rates for MRAC-type systems. Automatica, 2004, 40(8): 1465-1468
18. Loría A, Panteley E. Uniform exponential stability of linear time-varying systems: revisited. Systems and Control Letters, 2003, 47(1): 13-24
19. Panteley E, Loria A, Teel A. Relaxed persistency of excitation for uniform asymptotic stability. IEEE Transactions on Automatic Control, 2001, 46(12): 1874-1886
20. Polycarpou M, Farrell J, Sharma M. On-line approximation control of uncertain nonlinear systems: issues with control input saturation. In: Proceedings of the 2003 American Control Conference. Denver, CO: IEEE, 2003: 543-548
21. Khalil HK. Nonlinear Systems. New Jersey: Prentice Hall, 2002
22. Vamvoudakis KG, Lewis FL. Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem. Automatica, 2010, 46(5): 878-888
23. Vrabie D, Vamvoudakis KG, Lewis FL. Optimal adaptive control and differential games by reinforcement learning principles. Control Engineering Series. New York: IET Press, 2012
24. Stevens B, Lewis FL. Aircraft Control and Simulation (Second Edition). New Jersey: John Willey, 2003
25. Nevistíc V, Primbs JA. Constrained Nonlinear Optimal Control: A Converse HJB Approach, Technical Memorandum No. CIT-CDS 96-021, 1996