H∞ fuzzy state-feedback control design for nonlinear systems with D-stability constraints: An LMI approach

Authors:
Wudhichai Assawinchaichote;Sing Kiong Nguang;Peng Shi;El-Kébir Boukas
Affiliations:
The Department of Electronic and Telecommnunication Engineering, King Mongkut's University of Technology Thonburi, 91 Prachautits Road, Bangkok 10140, Thailand;The Department of Electrical and Electronic Engineering, The University of Auckland, Private Bag 92019 Auckland, New Zealand;School of Technology, University of Glamorgan, Pontypridd, CF37 1DL Wales, United Kingdom;Department of Mechanical Engineering, ícole Polytechnique de Montréal, Montréal, Québec H3C 3A7, Canada
Venue:
Mathematics and Computers in Simulation
Year:
2008

Citing 5
Cited 5

On a state space approach to nonlinear H∞ control

Systems & Control Letters
An approach to H∞ control of fuzzy dynamic systems

Fuzzy Sets and Systems - Theme: Modeling and control
H∞ fuzzy control design for nonlinear singularly perturbed systems with pole placement constraints: an LMI approach

IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Mixed H2/H∞ fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach

IEEE Transactions on Fuzzy Systems
Model construction, rule reduction, and robust compensation for generalized form of Takagi-Sugeno fuzzy systems

IEEE Transactions on Fuzzy Systems

On the design of an obstacle avoiding trajectory: Method and simulation

Mathematics and Computers in Simulation
H∞ fuzzy control for systems with repeated scalar nonlinearities and random packet losses

IEEE Transactions on Fuzzy Systems
H∞sensor faults estimation for T-S models using descriptor techniques: application to fault diagnosis

FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Robust H∞fuzzy output-feedback control with multiple probabilistic delays and multiple missing measurements

IEEE Transactions on Fuzzy Systems
Original article: An LMI-based composite nonlinear feedback terminal sliding-mode controller design for disturbed MIMO systems

Mathematics and Computers in Simulation

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper considers the problem of designing an H"~ fuzzy controller for a class of nonlinear systems with pole placement constraints. Based on an LMI approach, we develop a state-feedback controller that guarantees the L"2-gain of the mapping from the exogenous input noise to the regulated output is less than some prescribed value and the closed-loop system is D-stable. Numerical examples are provided to illustrate the design developed in this paper.