Piecewise quadratic stability of fuzzy systems

This letter presents a novel approach to stability analysis of fuzzy system s. The analysis is based on Lyapunov functions that are continuous and piec ewise quadratic. The approach exploits the gain-scheduling nature of fuzzy systems and results in stability conditions that can be verified via convex optimization over linear matrix inequalities. Examples demonstrate the man y improvements over analysis based on a single quadratic Lyapunov function. Special attention is given to the computational aspects of the approach an d several methods to improve the compuational efficiency are described.