H Infinity Control for Distributed Parameter Systems: A State Space Approach
H Infinity Control for Distributed Parameter Systems: A State Space Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Technical communique: Reducing conservativeness in recent stability conditions of TS fuzzy systems
Automatica (Journal of IFAC)
IEEE Transactions on Fuzzy Systems
Analysis and Synthesis of Fuzzy Control Systems: A Model-Based Approach
Analysis and Synthesis of Fuzzy Control Systems: A Model-Based Approach
Finite-Dimensional Constrained Fuzzy Control for a Class of Nonlinear Distributed Process Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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
Stabilization of Nonlinear Systems Under Variable Sampling: A Fuzzy Control Approach
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Automatica (Journal of IFAC)
IEEE Transactions on Fuzzy Systems
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This paper investigates the problem of designing a distributed H"~ fuzzy controller with constraint for a class of nonlinear spatially distributed processes modeled by first-order hyperbolic partial differential equations (PDEs). The purpose of this paper is to design a distributed fuzzy state feedback controller such that the closed-loop PDE system is exponentially stable with a prescribed H"~ performance of disturbance attenuation, while the control constraint is respected. Initially, a Takagi-Sugeno (T-S) hyperbolic PDE model is proposed to accurately represent the nonlinear PDE system. Then, based on the T-S fuzzy PDE model, a distributed H"~ fuzzy controller design with constraint is developed in terms of a set of coupled differential/algebraic linear matrix inequalities (D/ALMIs) in space. Furthermore, a suboptimal distributed H"~ fuzzy controller with constraint is proposed to minimize the level of attenuation. The finite difference method in space and the existing linear matrix inequality (LMI) optimization techniques are employed to approximately solve the suboptimal fuzzy control design problem. Finally, the proposed design method is applied to the distributed control of a nonlinear system described by two coupled first-order hyperbolic PDEs to illustrate its effectiveness.