New approaches on H∞ control of T--S fuzzy systems with interval time-varying delay

Authors:
Li Li;Xiaodong Liu;Tianyou Chai
Affiliations:
College of Maths and Systematic Science, Shenyang Normal University, Shenyang 110034, PR China and Research Center of Information and Control, Dalian University of Technology, Dalian 116024, PR Ch ...;Research Center of Information and Control, Dalian University of Technology, Dalian 116024, PR China;Research Center of Automation, Northeastern University, Shenyang 110004, PR China
Venue:
Fuzzy Sets and Systems
Year:
2009

Citing 10
Cited 5

Stability of Time-Delay Systems

Stability of Time-Delay Systems
Technical communique: Delay-range-dependent stability for systems with time-varying delay

Automatica (Journal of IFAC)
New delay-dependent stabilization conditions of T--S fuzzy systems with constant delay

Fuzzy Sets and Systems
Delay-dependent LMI conditions for stability and stabilization of T--S fuzzy systems with bounded time-delay

Fuzzy Sets and Systems
Delay-dependent stability analysis and synthesis of uncertain T--S fuzzy systems with time-varying delay

Fuzzy Sets and Systems
Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach

IEEE Transactions on Fuzzy Systems
Approaches to quadratic stability conditions and H∞ control designs for T-S fuzzy systems

IEEE Transactions on Fuzzy Systems
Delay-dependent guaranteed cost control for T-S fuzzy systems with time delays

IEEE Transactions on Fuzzy Systems
Robust H∞ Control for Uncertain Takagi–Sugeno Fuzzy Systems With Interval Time-Varying Delay

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)

Novel robust exponential stability criteria for neural networks

Neurocomputing
Delay-dependent robust and reliable H∞ fuzzy hyperbolic decentralized control for uncertain nonlinear interconnected systems

Fuzzy Sets and Systems
Improved stability criteria for time-varying delayed T--S fuzzy systems via delay partitioning approach

Fuzzy Sets and Systems
Augmented Lyapunov--Krasovskii functional approaches to robust stability criteria for uncertain Takagi--Sugeno fuzzy systems with time-varying delays

Fuzzy Sets and Systems
Output tracking H∞ fuzzy control of nonlinear time-delay systems via Fuzzy Performance Evaluator

Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology

Quantified Score

Hi-index	0.20

Visualization

Abstract

This paper considers the delay-dependent stabilization problems and H"~ control problems for uncertain T-S fuzzy system with time-varying delay in a range. A new method is proposed by defining new Lyapunov functionals and introducing some integral inequalities. The merit of the proposed conditions lies in the less conservativeness than the existing ones, which is achieved by paying careful attention to the subtle difference between the two integral terms, which is always ignored in the existing literatures, and the free variables which replace the Leibniz-Newton formula with integral inequalities. The fuzzy state feedback gains are derived through the numerical solution of a set of linear matrix inequalities (LMIs). The efficiency and the benefits of our method are demonstrated by the numerical examples.