Parameterized LMIs in Control Theory
SIAM Journal on Control and Optimization
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
IEEE Transactions on Fuzzy Systems
Piecewise quadratic stability of fuzzy systems
IEEE Transactions on Fuzzy Systems
New approaches to relaxed quadratic stability condition of fuzzy control systems
IEEE Transactions on Fuzzy Systems
Robust stabilization of the Takagi-Sugeno fuzzy model via bilinear matrix inequalities
IEEE Transactions on Fuzzy Systems
Parameterized linear matrix inequality techniques in fuzzy control system design
IEEE Transactions on Fuzzy Systems
A multiple Lyapunov function approach to stabilization of fuzzy control systems
IEEE Transactions on Fuzzy Systems
A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems
IEEE Transactions on Fuzzy Systems
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A new stability condition in terms of LMIs is studied in this paper. Based on a premise-dependent Lyapunov function and multiconvexity, we release the conservatism that commonly exists in the common P approach. Comparison studies for common P and non-common P methods are demonstrated, showing relaxation is achieved via the proposed approach.