Stability Analysis and Control Design of Fuzzy Systems

The paper studies the stability analysis and the systematic control design of fuzzy systems which have been successfully applied to many practical industrial applications in the recent years. Despite the success it has become evident that many basic issues remain to be further addressed. These issues are based to the fact that there are not analytical tools, there is not a fuzzy systems theory like linear systems theory for fuzzy control systems. In this study two different fuzzy systems are studied. These are: a discrete-time system and a continuous-time system. Stability analysis and control design are performed to these systems using an approach based on Lyapunov stability techniques and linear matrix inequalities, which can be solved very efficiently by means of some powerful mathematical numerical tools such as the Scilab package.