Title :
Quadratic stabilization of uncertain discrete-time fuzzy dynamic systems
Author :
Feng, Gang ; Ma, Jian
Author_Institution :
Dept. of MEEM, City Univ. of Hong Kong, Kowloon, China
fDate :
11/1/2001 12:00:00 AM
Abstract :
New approaches to quadratic stabilization of uncertain discrete-time fuzzy dynamic systems are developed in this paper. This uncertain fuzzy dynamic model is used to represent a class of uncertain discrete-time complex nonlinear systems which include both linguistic information and system uncertainties. It is shown that the uncertain fuzzy dynamic system is stabilizable if a suitable Riccati equation or a set of Riccati equations have solutions. Constructive algorithms are also developed to obtain the stabilization feedback control laws. Finally, an example is given to illustrate the application of the proposed method
Keywords :
Lyapunov methods; Riccati equations; discrete time systems; feedback; fuzzy control; fuzzy systems; nonlinear control systems; piecewise linear techniques; stability; Riccati equation; complex nonlinear systems; constructive algorithms; feedback control laws; fuzzy dynamic model; fuzzy logic control; linguistic information; piecewise Lyapunov function; quadratic stabilization; system uncertainties; uncertain discrete-time fuzzy dynamic systems; Control systems; Fuzzy control; Fuzzy logic; Fuzzy systems; Humans; Nonlinear control systems; Nonlinear dynamical systems; Riccati equations; Stability; Uncertainty;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
