Title :
Optimal discrete-time control for nonlinear cascade systems
Author :
Haddad, W.M. ; Fausz, J.L. ; Chellaboina, V. ; Abdallah, C.T.
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
We develop an optimality-based framework for designing controllers for discrete-time nonlinear cascade systems. Specifically, using a nonlinear-nonquadratic optimal control framework we develop a family of globally stabilizing backstepping-type controllers parametrized by the cost functional that is minimized. Furthermore, it is shown that the control Lyapunov function guaranteeing closed-loop stability is a solution to the steady-state Bellman equation for the controlled system and thus guarantees both optimality and stability
Keywords :
Lyapunov methods; cascade systems; closed loop systems; control system synthesis; discrete time systems; nonlinear systems; optimal control; stability; Bellman equation; Lyapunov function; backstepping; closed-loop systems; discrete-time systems; nonlinear cascade systems; optimal control; stability; Backstepping; Control systems; Control theory; Cost function; Lyapunov method; Nonlinear control systems; Nonlinear systems; Optimal control; Stability; Steady-state;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611077
