Title :
Piecewise quadratic stability of fuzzy systems
Author :
Johansson, Mikael ; Rantzer, Anders ; Årzén, Karl-Erik
Author_Institution :
Dept. of Autom. Control, Lund Inst. of Technol., Sweden
fDate :
12/1/1999 12:00:00 AM
Abstract :
Presents an approach to stability analysis of fuzzy systems. The analysis is based on Lyapunov functions that are continuous and piecewise 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 many improvements over analysis based on a single quadratic Lyapunov function. Special attention is given to the computational aspects of the approach and several methods to improve the computational efficiency are described
Keywords :
Lyapunov methods; control system analysis; fuzzy control; fuzzy systems; matrix algebra; optimisation; stability; Lyapunov functions; computational efficiency; convex optimization; gain-scheduling; linear matrix inequalities; piecewise quadratic stability; stability analysis; stability conditions; Control system analysis; Electrical equipment industry; Fuzzy control; Fuzzy systems; Industrial control; Linear matrix inequalities; Lyapunov method; Mathematical analysis; Robust control; Stability analysis;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
