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Stability analysis method for fuzzy control systems dedicated controlling nonlinear processes

2007; Óbuda University; Volume: 4; Issue: 3 Linguagem: Inglês

2064-2687

Marius L. Tomescu, Ștefan Preitl, Radu‐Emil Precup, József K. Tar,

Stability and Control of Uncertain Systems

This paper presents a new stability analysis method for nonlinear processes with Takagi-Sugeno (T-S) fuzzy logic controllers (FLCs). The design of the FLCs is based on heuristic fuzzy rules. The stability analysis of these fuzzy control systems is performed using LaSalle's invariant set principle with non-quadratic Lyapunov candidate function. This paper proves that if the derivative of Lyapunov function is negative semi-definite in the active region of each fuzzy rule, then the overall system will be asymptotically stable in the sense of Lyapunov (ISL). The stability theorem suggested in the paper ensures sufficient stability conditions for fuzzy control systems controlling a class of nonlinear processes. The end of the paper contains an illustrative example that describes an application of the stability analysis method.