Title :
Stability of optimal control systems
Author :
Eberhar, Rowena L.
Author_Institution :
Lockheed Martin Tactical Aircraft Syst., Fort Worth, TX, USA
Abstract :
The relationship between solution of the infinite horizon optimal control problem and the stability of the corresponding optimal control system is investigated. Under suitable assumptions about the Lagrangian, the well-known result that optimality of the control in conjunction with controllability of the system implies that the cost is finite is used to conclude that the closed loop optimal system is L(0,∞) 2 input-output stable. In the case where the system is also detectable and reachable, it is shown that L(0,∞)2 input-output stability implies internal stability
Keywords :
asymptotic stability; controllability; input-output stability; nonlinear control systems; optimal control; optimisation; controllability; infinite horizon optimal control; input-output stability; internal stability; optimal control systems; Aerospace control; Aircraft; Control systems; Controllability; Cost function; Infinite horizon; Lagrangian functions; Optimal control; Postal services; Stability;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657779
