Delay-dependent control for uncertain fuzzy systems with time-varying delays

Liu, Xingwen

doi:10.1016/j.na.2006.12.029

Cited by 34 publications

(30 citation statements)

References 15 publications

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“…When time-varying delay t(t)t, that is d=0, according to Corollary 1 in Ref. [31] and Theorem 1 in this paper, the upper boundary of t is 2.3937 and 2.6835, respectively. When d=0.4, by using Corollary 1 in Ref.…”

Section: Simulation Examplesmentioning

confidence: 65%

“…In the current researches on the delay-dependent stability conditions for fuzzy systems [14,19,21,22,[27][28][29][30][31], some of them only involve the size of delay-derivative [19,22], and some only involve the size of delay [14,21,[27][28][29]. In this paper and in Refs.…”

Section: Remarkmentioning

confidence: 99%

“…In this paper and in Refs. [30,31], both the sizes of delay and delay-derivative are involved, which weaken the conservatism of the results.…”

Section: Remarkmentioning

confidence: 99%

“…The delay-dependent stability of fuzzy systems with time-delay was studied in Refs. [14,[27][28][29][30][31], and the exponential stable conditions of time-delay systems were presented in Refs. [16][17][18].…”

Section: Introductionmentioning

confidence: 99%

“…[15], the stability analysis was based on delay-independent stability analysis methods and the delay in controller was not discussed. To weaken the conservatism of the results, the state feedback controller was designed to guarantee the stability of the closedloop systems based on the delay-dependent stability analysis [27][28][29][30][31]33,34]. The output feedback controllers were discussed in Refs.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Exponential stability analysis and controller design of fuzzy systems with time-delay

2011

Journal of the Franklin Institute

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Section: Simulation Examplesmentioning

confidence: 65%

Section: Remarkmentioning

confidence: 99%

“…In this paper and in Refs. [30,31], both the sizes of delay and delay-derivative are involved, which weaken the conservatism of the results.…”

Section: Remarkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Exponential stability analysis and controller design of fuzzy systems with time-delay

2011

Journal of the Franklin Institute

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A nonlinear state‐feedback state‐feedforward tracking control strategy for a boiler‐turbine unit

Wang

2019

Asian Journal of Control

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A boiler‐turbine unit is a primary module for coal‐fired power plants, and an effective automatic control system is needed for the boiler‐turbine unit to track the load changes with the drum water level kept within an acceptable range. The aim of this paper is to develop a nonlinear tracking controller for the Bell‐Åström boiler‐turbine unit. A Takagi‐Sugeno fuzzy control system is introduced for the nonlinear modeling of the Bell‐Åström boiler‐turbine unit. Based on the Takagi‐Sugeno fuzzy models, a nonlinear tracking controller is developed, and the proposed control law is comprised of a state‐feedforward term and a state‐feedback term. The stability of the closed‐loop control system is analyzed on the basis of Lyapunov stability theory via the linear matrix inequality approach and Schur complement. Moreover, model uncertainties are also considered, and it is proved that with the proposed control law the tracking error converges to zero. To assess the performance of the proposed nonlinear state‐feedback state‐feedforward control strategy, a nonlinear model predictive control strategy and a linear strategy are presented as comparisons. The effectiveness and the advantages of the proposed nonlinear state‐feedback state‐feedforward control strategy are demonstrated by simulations.

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Robust dynamic output‐feedback ℋ∞ control for uncertain Takagi–Sugeno time‐delay systems

Coşkun

2022

Math Methods in App Sciences

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This work deals with the problem of robust output‐feedback control for a class of uncertain Takagi–Sugeno (T‐S) fuzzy systems with state time‐varying delays. The system is described by a state‐space T‐S fuzzy model with time‐varying delays and norm‐bounded parameter uncertainties. A robust control strategy via Lyapunov–Krasovskii functionals for stability and performance conditions is derived. The T‐S fuzzy‐model‐based framework is employed in analysis, and formulations are performed based on the solution of a set of delay‐dependent linear matrix inequalities (LMIs). By solving the derived LMI conditions via a convex programming toolbox, a full‐order robust dynamic output‐feedback controller is designed. The obtained robust output‐feedback controller guarantees asymptotic stability of the closed‐loop system and provides an norm, that is, disturbance attenuation level, for all admissible uncertainties. In this sequel, three examples are given to reveal the effectiveness and merits of the proposed approaches.

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Delay-dependent control for uncertain fuzzy systems with time-varying delays

Cited by 34 publications

References 15 publications

Exponential stability analysis and controller design of fuzzy systems with time-delay

Exponential stability analysis and controller design of fuzzy systems with time-delay

A nonlinear state‐feedback state‐feedforward tracking control strategy for a boiler‐turbine unit

Robust dynamic output‐feedback ℋ∞ control for uncertain Takagi–Sugeno time‐delay systems

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