Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Piecewise Linear Control Systems
Piecewise Linear Control Systems
Control law proposition for the stabilization of discrete Takagi-Sugeno models
IEEE Transactions on Fuzzy Systems
A new fuzzy Lyapunov function approach for a Takagi--Sugeno fuzzy control system design
Fuzzy Sets and Systems
Perspectives of fuzzy systems and control
Fuzzy Sets and Systems
Relaxed stability and stabilization conditions for a T--S fuzzy discrete system
Fuzzy Sets and Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
An approach to fuzzy control of nonlinear systems: stability and design issues
IEEE Transactions on Fuzzy Systems
Piecewise quadratic stability of fuzzy systems
IEEE Transactions on Fuzzy Systems
Parameterized linear matrix inequality techniques in fuzzy control system design
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions
IEEE Transactions on Fuzzy Systems
Stability analysis of discrete-time fuzzy dynamic systems based on piecewise Lyapunov functions
IEEE Transactions on Fuzzy Systems
Output Feedback Control of Discrete-Time Fuzzy Systems With Application to Chaos Control
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Automatica (Journal of IFAC)
Generalized nonquadratic stability of continuous-time Takagi-Sugeno models
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Engineering Applications of Artificial Intelligence
Passivity analysis and passive control of fuzzy systems with time-varying delays
Fuzzy Sets and Systems
Stability analysis of polynomial fuzzy models via polynomial fuzzy Lyapunov functions
Fuzzy Sets and Systems
Non-quadratic local stabilization for continuous-time Takagi--Sugeno models
Fuzzy Sets and Systems
Information Sciences: an International Journal
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This paper presents a new approach for stability analysis and controller design of Takagi-Sugeno (TS) models. The analysis considers information derived from existing or induced order relations among the membership functions. Partitioning of the state-space and the use of piecewise Lyapunov functions (PWLF) arise naturally as a consequence of induced order relations. Conditions under the novel approach can be expressed as linear matrix inequalities (LMIs) facilitating the inclusion of performance design. Examples are provided to show the advantages over the classical quadratic approach.