Decentralized control through parameter space optimization
Automatica (Journal of IFAC)
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Relaxations for Robust Linear Matrix Inequality Problems with Verifications for Exactness
SIAM Journal on Matrix Analysis and Applications
Matrix Sum-of-Squares Relaxations for Robust Semi-Definite Programs
Mathematical Programming: Series A and B
State feedback control of switched linear systems: an LMI approach
Journal of Computational and Applied Mathematics
A new fuzzy Lyapunov function approach for a Takagi--Sugeno fuzzy control system design
Fuzzy Sets and Systems
Robust h∞ control with pole placement constraints for t-s fuzzy systems
ICMLC'05 Proceedings of the 4th international conference on Advances in Machine Learning and Cybernetics
Information Sciences: an International Journal
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Variable-Gain Controllers for Nonlinear Systems Using the T–S Fuzzy Model
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A Novel Stabilization Criterion for Large-Scale T–S Fuzzy Systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Discrete Takagi–Sugeno's Fuzzy Models: Reduction of the Number of LMI in Fuzzy Control Techniques
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
Piecewise quadratic stability of fuzzy systems
IEEE Transactions on Fuzzy Systems
Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach
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
New approaches to relaxed quadratic stability condition of fuzzy control systems
IEEE Transactions on Fuzzy Systems
Decentralized techniques for the analysis and control of Takagi-Sugeno fuzzy systems
IEEE Transactions on Fuzzy Systems
Parameterized linear matrix inequality techniques in fuzzy control system design
IEEE Transactions on Fuzzy Systems
Robust fuzzy control of nonlinear systems with parametric uncertainties
IEEE Transactions on Fuzzy Systems
H∞ fuzzy output feedback control design for nonlinear systems: an LMI approach
IEEE Transactions on Fuzzy Systems
On relaxed LMI-based designs for fuzzy regulators and fuzzy observers
IEEE Transactions on Fuzzy Systems
Robust H∞ control for uncertain discrete-time-delay fuzzy systems via output feedback controllers
IEEE Transactions on Fuzzy Systems
Decentralized PDC for large-scale T-S fuzzy systems
IEEE Transactions on Fuzzy Systems
A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems
IEEE Transactions on Fuzzy Systems
A Survey on Analysis and Design of Model-Based Fuzzy Control Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
A Descriptor System Approach to Fuzzy Control System Design via Fuzzy Lyapunov Functions
IEEE Transactions on Fuzzy Systems
New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI
Automatica (Journal of IFAC)
IEEE Transactions on Fuzzy Systems
Iterative performance improvement of fuzzy control systems for three tank systems
Expert Systems with Applications: An International Journal
Automatica (Journal of IFAC)
Fuzzy adaptive control of delayed high order nonlinear systems
International Journal of Automation and Computing
H∞ state feedback controller design for continuous-time T-S fuzzy systems in finite frequency domain
Information Sciences: an International Journal
Information Sciences: an International Journal
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This paper investigates the quadratic stabilizability of Takagi-Sugeno (T-S) fuzzy systems by means of parallel distributed state feedback compensators. Using Finsler's lemma, a new design condition assuring the existence of such a controller is formulated as a parameter-dependent linear matrix inequality (LMI) with extra matrix variables and parameters in the unit simplex. Algebraic properties of the system parameters and recent results of positive polynomials are used to construct LMI relaxations that, differently from most relaxations in the literature, provide certificates of convergence to solve the control design problem. Due to the degrees of freedom obtained with the extra variables, the conditions presented in this paper are an improvement over earlier results based only on Pólya's theorem and can be viewed as an alternative to the use of techniques based on the relaxation of quadratic forms. An extension to cope with guaranteed H∞ attenuation levels is also given, with proof of asymptotic convergence to the global optimal controller under quadratic stability. The efficiency of the proposed approach in terms of precision and computational effort is demonstrated by means of numerical comparisons with other methods from the literature.