An introduction to infinite-dimensional linear systems theory
An introduction to infinite-dimensional linear systems theory
A course in fuzzy systems and control
A course in fuzzy systems and control
Automatica (Journal of IFAC)
System identification (2nd ed.): theory for the user
System identification (2nd ed.): theory for the user
Universal fuzzy controllers for a class of nonlinear systems
Fuzzy Sets and Systems
Fuzzy Control
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
L2-Gain and Passivity Techniques in Nonlinear Control
L2-Gain and Passivity Techniques in Nonlinear Control
Fuzzy solutions to partial differential equations: adaptive approach
IEEE Transactions on Fuzzy Systems
Relaxed stability and stabilization conditions for a T--S fuzzy discrete system
Fuzzy Sets and Systems
H∞ controller design of fuzzy dynamic systems based on piecewise Lyapunov functions
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A relaxed stability criterion for T-S fuzzy discrete systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Robust H∞ static output feedback control of fuzzy systems: an ILMI approach
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Robust Control for Networked Systems With Random Packet Losses
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
IEEE Transactions on Fuzzy Systems
Robustness design of nonlinear dynamic systems via fuzzy linear control
IEEE Transactions on Fuzzy Systems
Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach
IEEE Transactions on Fuzzy Systems
Secure communications of chaotic systems with robust performance via fuzzy observer-based design
IEEE Transactions on Fuzzy Systems
Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
A multiple Lyapunov function approach to stabilization of fuzzy control systems
IEEE Transactions on Fuzzy Systems
Observer-based robust H∞ control for fuzzy systems using two-step procedure
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Composite Fuzzy Control of Nonlinear Singularly Perturbed Systems
IEEE Transactions on Fuzzy Systems
T–S Fuzzy Bilinear Model and Fuzzy Controller Design for a Class of Nonlinear Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Robust Stabilization of the Distributed Parameter System With Time Delay via Fuzzy Control
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Design of distributed H∞ fuzzy controllers with constraint for nonlinear hyperbolic PDE systems
Automatica (Journal of IFAC)
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In this paper, a robust fuzzy control design is proposed for the stabilization of nonlinear partial differential systems (NPDSs). Based on Galerkin's method, a Takagi-Sugeno (T-S) fuzzy PDS is first proposed to model an NPDS. Then, the TS fuzzy PDS can be represented by a finite-dimensional T-S fuzzy subsystem in controlled mode and a coupled infinite-dimensional T-S fuzzy subsystem in residual mode. Therefore, the NPDS can be partitioned into a finite-dimensional T-S fuzzy slow state-space subsystem to be controlled and a coupled infinite-dimensional fast residual subsystem to be tolerated. Based on the small-gain theorem, a robust fuzzy observer-based controller is developed to tolerate the coupled residual subsystem to asymptotically stabilize the NPDS. Furthermore, based on the dissipative theory, an H∞ control design is proposed to attenuate the effects of external disturbances and measurement noises on the robust stabilization of NPDSs. The MATLAB linear matrix inequality toolbox can be employed to efficiently solve the optimal H∞ fuzzy observer-based control design problem of NPDSs. Finally, a simulation example is given to illustrate the design procedure and confirm the performance of the proposed robust fuzzy observer-based control method for the perturbative NPDSs.