This paper studies the problem of dynamic output feedback H∞ control for nonlinear systems, which are described by Takagi–Sugeno fuzzy parts with measurable premise variables and uncertainty parts. The uncertainties are parameter dependent, unknown, and time varying but bounded. A switching fuzzy dynamic output feedback control scheme is proposed, which depends on the measurable premise variabl...

In this paper we extend earlier work on switching control of single-input nonlinear systems to the multi-input case. We consider the control of partially linear cascade systems and give sufficient conditions under which feedback of the linear states with switching gains guarantees both exponential stability of the linear subsystem and positive invariance of a compact region in state space. Asym...

Recently, switched systems have been found in many practical applications such as in communication network dynamics, robot manipulators, traffic management, etc. In this paper, we study the stability of time-varying linear switched systems under perturbations that satisfy linear growth condition, which is not available in current literature. By introducing a new Liao-type exponent for time-vary...

This paper deals with the filtering problem for a general class of nonlinear time-delay systems with Markovian jumping parameters. The nonlinear time-delay stochastic systems may switch from one to the others according to the behavior of a Markov chain. The purpose of the problem addressed is to design a nonlinear full-order filter such that the dynamics of the estimation error is guaranteed to...

This paper formulates and solves the robust H∞ control problem for discrete time nonlinear switching systems. The H∞ control problem is interpreted as the l2 finite gain control problem and is studied using a dissipative systems theory for switched systems. Both state and measurement feedback control problems are formulated as dynamic games and solved using dynamic programming. The partially ob...

A Lyapunov based switching control design method for non linear systems using fuzzy models is proposed. The switching controller consists of several linear state feedback controllers; only one of the linear controllers is employed at each moment according to a switching scheme. The gains of the linear state feedback controllers are derived based on Lyapunov stability theory. The fuzzy design mo...

DONG, KE. Advanced Design Techniques in Linear Parameter Varying Control. (Under the direction of Associate Professor Fen Wu). To improve the analysis and control synthesis approach of linear fractional transformation (LFT) parameter-dependent systems, two types of non-quadratic Lyapunov function and switching control scheme are introduced and studied in this thesis. A gain-scheduled controller...