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
Mathematical physiology
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
Finite Differences And Partial Differential Equations
Finite Differences And Partial Differential Equations
Biophysics of Computation: Information Processing in Single Neurons (Computational Neuroscience Series)
Intelligent robust tracking control for a class of uncertain strict-feedback nonlinear systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on human computing
Delay-dependent H∞ filter design for discrete-time fuzzy systems with time-varying delays
IEEE Transactions on Fuzzy Systems
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
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
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
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
Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs
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
Adaptive fuzzy-based tracking control for nonlinear SISO systems via VSS and H∞ approaches
IEEE Transactions on Fuzzy Systems
Fuzzy tracking control design for nonlinear dynamic systems via T-S fuzzy model
IEEE Transactions on Fuzzy Systems
LMI-based fuzzy chaotic synchronization and communications
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
IEEE Transactions on Fuzzy Systems
Fuzzy guaranteed cost control for nonlinear systems with time-varying delay
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Output Tracking Control for Fuzzy Systems Via Output Feedback Design
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
Design of Observer-Based Control for Fuzzy Time-Delay 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
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This paper addresses the robust reference-tracking-control problem for nonlinear distributed parameter systems (NDPSs) with time delays, external disturbances, and measurement noises. The NDPS is measured at several sensor locations for output-feedback tracking control. A fuzzy-spatial state-space model derived via finite-difference approach is introduced to represent the nonlinear distributed parameter time-delayed system. Thus, we use a fuzzy interpolation method with several local linear systems to approximate the nonlinear system and employ the finite-difference method to approximate the partial differential operators in fuzzy-spatial state-space model. Based on this model, a robust fuzzy-observer-based reference-tracking controller is proposed to control the NDPS to track a desired reference trajectory. First, a 2-D H∞ tracking performance in a spatiotemporal domain is proposed for robust tracking design of nonlinear distributed parameter time-delayed systems. Then, an equivalent 1-D H∞ reference-tracking design is developed to simplify the design procedure, and the linear-matrix-inequality (LMI) technique is applied to solve the control gains and observer gains for the robust H∞ tracking-design problem via a systematic control-design procedure. Finally, a tracking-control-design example for the nervous system is given to confirm the proposed reference-tracking-control scheme of nonlinear distributed parameter time-delayed systems.