Title :
H∞ controller design for nonlinear system
Author :
Khaligh, Shahzad ; Youssef, Hussein M.
Author_Institution :
Dept. of Aerosp. Eng., Univ. of Southern California, Los Angeles, CA, USA
Abstract :
A solution to the Riccati equation is investigated for the class of multi-variable separable nonlinear systems where the output of the nonlinear element is a function of control input-signal amplitude and frequency. The analytical dependency of the H∞ Riccati solution to the amplitude of the nonlinearity is examined. The formulas of Li and Chang are used to synthesize the H∞ controller. The dynamical controller is constructed based on the solutions to the two Riccati equations which are also functions of the amplitude of the nonlinearity. The closed loop stability and system performance are analyzed. A key contribution of this paper is that it deals with the nonlinearity of the system with an H∞ approach. Of the particular interest is the application of H∞ to the nonlinear systems with delay
Keywords :
H∞ control; Riccati equations; closed loop systems; control nonlinearities; control system analysis; control system synthesis; multivariable control systems; nonlinear control systems; stability; H∞ controller design; Riccati equation; analytical dependency; closed loop stability; delay; dynamical controller; multi-variable separable nonlinear systems; nonlinearity; system performance; Control system synthesis; Control systems; Frequency; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Performance analysis; Riccati equations; Stability analysis; System performance;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.610870
