Title :
Nonlinear H∞ control via measurement feedback with guaranteed performance
Author :
Lai, Michael C. ; Hauser, John
Author_Institution :
Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
This paper presents an approach to compute solutions to the nonlinear H∞ control problem. We show that if the linearization of a nonlinear system has a linear H∞ control solution, then there exist a family of nonlinear stabilizing feedbacks locally achieving L2-gain control with guaranteed performance for the nonlinear system. Such a family of nonlinear feedbacks are characterized by a set of solutions to the algebraic Riccati strict inequalities. We analyze the closed loop system´s guaranteed performance and provide a numerical technique to compute various performance indices
Keywords :
feedback; linearisation techniques; nonlinear control systems; optimal control; performance index; stability; L2-gain control; algebraic Riccati strict inequalities; closed loop system; guaranteed performance; linearization; measurement feedback; nonlinear H∞ control; nonlinear stabilizing feedbacks; numerical technique; performance indices; Closed loop systems; Control systems; Linear feedback control systems; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Riccati equations; State feedback; State-space methods; Sufficient conditions;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325468
