Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach
A Convex Approach to Robust Stability for Linear Systems with Uncertain Scalar Parameters
SIAM Journal on Control and Optimization
Relaxations for Robust Linear Matrix Inequality Problems with Verifications for Exactness
SIAM Journal on Matrix Analysis and Applications
Perspectives of fuzzy systems and control
Fuzzy Sets and Systems
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
New approaches to relaxed quadratic stability condition of fuzzy control systems
IEEE Transactions on Fuzzy Systems
Parameterized linear matrix inequality techniques in fuzzy control system design
IEEE Transactions on Fuzzy Systems
On relaxed LMI-based designs for fuzzy regulators and fuzzy observers
IEEE Transactions on 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
Automatica (Journal of IFAC)
New approaches to H∞ controller designs based on fuzzy observers for T-S fuzzy systems via LMI
Automatica (Journal of IFAC)
Encoding fuzzy possibilistic diagnostics as a constrained optimization problem
Information Sciences: an International Journal
Static output feedback H∞ control of a class of nonlinear discrete-time systems
Fuzzy Sets and Systems
Robust H∞ filter design for uncertain fuzzy neutral systems
Information Sciences: an International Journal
Control synthesis of continuous-time T-S fuzzy systems with local nonlinear models
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Observer-based relaxed H∞ control for fuzzy systems using a multiple Lyapunov function
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
LMI based design of constrained fuzzy predictive control
Fuzzy Sets and Systems
On the robust regulation problem for nonlinear systems using fuzzy immersions
Engineering Applications of Artificial Intelligence
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Sum-of-squares-based stability analysis of polynomial fuzzy-model-based control systems
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
A way to escape from the quadratic framework
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Quadratic stability analysis of fuzzy control systems using stepwise membership functions
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Some results about stabilization of periodic Takagi-Sugeno models
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Further studies on stabilization conditions for discrete-time Takagi-Sugeno fuzzy systems
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
A triangulation approach to asymptotically exact conditions for fuzzy summations
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Interval type-2 fuzzy logic congestion control for video streaming across IP networks
IEEE Transactions on Fuzzy Systems
Polynomial fuzzy models for nonlinear control: a Taylor series approach
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Switching fuzzy dynamic output feedback H∞ control for nonlinear systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Fuzzy Systems
Automatica (Journal of IFAC)
Generalized nonquadratic stability of continuous-time Takagi-Sugeno models
IEEE Transactions on Fuzzy Systems
Guaranteed cost control analysis and iterative design for constrained Takagi-Sugeno systems
Engineering Applications of Artificial Intelligence
H∞ and mixed H2/H∞ control of discrete-time T--S fuzzy systems with local nonlinear models
Fuzzy Sets and Systems
IEEE Transactions on Fuzzy Systems
Fuzzy filter design for nonlinear systems in finite- frequency domain
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Engineering Applications of Artificial Intelligence
Engineering Applications of Artificial Intelligence
CSS'11 Proceedings of the 5th WSEAS international conference on Circuits, systems and signals
Stability analysis of polynomial fuzzy models via polynomial fuzzy Lyapunov functions
Fuzzy Sets and Systems
Information Sciences: an International Journal
Automatica (Journal of IFAC)
Non-quadratic local stabilization for continuous-time Takagi--Sugeno models
Fuzzy Sets and Systems
Short Communication: On balancing a cart-pole system using T--S fuzzy model
Fuzzy Sets and Systems
Engineering Applications of Artificial Intelligence
T-S model-based nonlinear moving-horizon H∞ control and applications
Fuzzy Sets and Systems
Information Sciences: an International Journal
Information Sciences: an International Journal
Non-fragile H∞ filter design for discrete-time fuzzy systems with multiplicative gain variations
Information Sciences: an International Journal
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Stability and performance requirements in fuzzy control of Takagi-Sugeno systems are usually stated as fuzzy summations, i.e., sums of terms, related to Lyapunov functions, which are weighted by membership functions or products of them. This paper presents an application to fuzzy control of Polya's theorems on positive forms on the standard simplex. The result provides a set of progressively less conservative sufficient conditions for proving positivity of fuzzy summations; such conditions are less and less conservative as a complexity parameter, n, increases. Particular cases of such conditions are those in [C.-H. Fang, Y.-S. Liu, S.-W. Kau, L. Hong, C.-H. Lee, A new LMI-based approach to relaxed quadratic stabilization of T-S fuzzy control systems, IEEE Trans. Fuzzy Systems 14 (2006) 286-397; X. Liu, Q. Zhang, New approaches to H"~ controller designs based on fuzzy observers for T-S fuzzy systems via LMI, Automatica 39 (9) (2003) 1571-1582], with n=2 and 3, respectively. The proposed conditions are asymptotically exact, i.e., necessary and sufficient when n tends to infinity or, equivalently, when a tolerance parameter tends to zero.