Piecewise Quadratic Stability of Closed-loop Takagi-Sugeno Fuzzy Systems
نویسندگان
چکیده
In this paper piecewise quadratic stability of closed-loop affine Takagi-Sugeno (ATS) fuzzy systems with linear state-space submodels in the consequent of rules is addressed. The control law is assumed in the form of Parallel Distributed Compensation (PDC). Stability analysis of the closed-loop system is based on piecewise quadratic Lyapunov functions. This technique reduces conservatism of classical stability methods searching a common Lyapunov function and, even more, verifies piecewise quadratic stability via linear matrix inequalities (LMIs). Simulation results are provided.
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