Title :
H∞ control for Markovian jump nonlinear systems
Author :
Aliyu, M.D.S. ; Boukas, E.K.
Author_Institution :
Dept. of Syst. Eng., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia
Abstract :
The problem of disturbance attenuation with internal stability for nonlinear systems with Markovian jumping parameters is considered. It is shown that this problem is solvable if there exists a set of smooth positive semi-definite functions satisfying certain Hamilton-Jacobi-Isaacs inequalities. Furthermore, it is shown that if this solution exists, it represents a stochastic Lyapunov function for the closed-loop nonlinear system
Keywords :
H∞ control; Lyapunov methods; Markov processes; closed loop systems; nonlinear control systems; stability; stochastic systems; H∞ control; Hamilton-Jacobi-Isaacs inequalities; Markovian jump nonlinear systems; Markovian jumping parameters; closed-loop nonlinear system; disturbance attenuation; internal stability; smooth positive semi-definite functions; stochastic Lyapunov function; Control systems; Markov processes; Nonlinear control systems; Nonlinear systems; Process control; Stability; State feedback;
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.1998.760780
