Computational effective stability conditions for time-delay fuzzy systems

Abstract

This paper investigates the system stability of the time-delay fuzzy-model-based control systems based on delay-independent and -dependent approaches. LMI-based delay-independent and -dependent stabil-ity conditions are derived to guarantee the system stability using Lyapunov-based technique. It can be seen that some existing stability analysis approaches require high computational demand to solve the solu-tion due to the large number of stability conditions. Consequently, feasible solution may not be obtained with the use of numerical methods due to the limita-tion of the computer system especially for compli-cated fuzzy systems with a large number of rules. In this paper, under a particular system formulation, the number of stability conditions can be reduced to alle-viate the computational demand on searching for the solution. Furthermore, the stability conditions offer a larger upper bound of time delay compared with some existing approaches. LMI-based performance conditions are also derived to guarantee the system performance. Simulation examples are given to il-lustrate the merits of the proposed approaches