Title :
Stability margins of discrete-time nonlinear nonquadratic optimal regulators
Author :
Chellaboina, VijaySekhar ; Haddad, Wassim M.
Author_Institution :
Sch. of Aerosp. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
Abstract :
We derive guaranteed gain, sector, and disk margins for discrete-time nonlinear optimal and inverse optimal regulators that minimize a nonlinear nonquadratic performance criterion. The proposed results provide a transparent generalization of the classical discrete-time, linear-quadratic optimal regulator gain and phase margins. Finally, connections are also made between discrete-time control Lyapunov functions and inverse optimality
Keywords :
Lyapunov methods; closed loop systems; control system synthesis; discrete time systems; nonlinear control systems; optimal control; stability; state feedback; discrete-time control Lyapunov functions; discrete-time nonlinear nonquadratic optimal regulators; disk margins; inverse optimal regulators; inverse optimality; nonlinear nonquadratic performance criterion; sector margins; stability margins; Aerodynamics; Control systems; Lyapunov method; Nonlinear control systems; Open loop systems; Optimal control; Performance gain; Regulators; Stability; Sufficient conditions;
Conference_Titel :
Decision and Control, 1998. Proceedings of the 37th IEEE Conference on
Conference_Location :
Tampa, FL
Print_ISBN :
0-7803-4394-8
DOI :
10.1109/CDC.1998.758555
