Reformulation of LMI-based stabilisation conditions for non-linear systems in Takagi-Sugeno's form
International Journal of Systems Science
Technical communique: Reducing conservativeness in recent stability conditions of TS fuzzy systems
Automatica (Journal of IFAC)
Control law proposition for the stabilization of discrete Takagi-Sugeno models
IEEE Transactions on Fuzzy Systems
Piecewise quadratic stability of fuzzy systems
IEEE Transactions on Fuzzy Systems
A multiple Lyapunov function approach to stabilization of fuzzy control systems
IEEE Transactions on Fuzzy Systems
A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems
IEEE Transactions on Fuzzy Systems
Automatica (Journal of IFAC)
New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI
Automatica (Journal of IFAC)
Brief Homogeneous Lyapunov functions for systems with structured uncertainties
Automatica (Journal of IFAC)
Design of distributed H∞ fuzzy controllers with constraint for nonlinear hyperbolic PDE systems
Automatica (Journal of IFAC)
Information Sciences: an International Journal
Hi-index | 22.15 |
This paper provides simple and effective linear matrix inequality (LMI) characterizations for the stability and stabilization conditions of discrete-time Takagi-Sugeno (T-S) fuzzy systems. To do this, more general classes of non-parallel distributed compensation (non-PDC) control laws and non-quadratic Lyapunov functions are presented. Unlike the conventional non-quadratic approaches using only current-time normalized fuzzy weighting functions, we consider not only the current-time fuzzy weighting functions but also the l-step-past (l=0) and one-step-ahead ones when constructing the control laws and Lyapunov functions. Consequently, by introducing additional decision variables, it can be shown that the proposed conditions include the existing ones found in the literature as particular cases. Examples are given to demonstrate the effectiveness of the approaches.