Observer-based Controller Design for A T-S Fuzzy System with Unknown Premise Variables

Xie, Wen‐Bo; Li, He; Wang, Zhenhua; Zhang, Jian

doi:10.1007/s12555-018-0245-0

Cited by 33 publications

(22 citation statements)

References 37 publications

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“…Remark The number of LMIs and number of decision variables are listed in Table 1 and 2, respectively. Comparisons are clearly shown with Theorem 1 in [31,32] and this paper. One can see that method in this paper even has fewer decision variables and better conservatism when compared with Theorem 1 in [31].…”

Section: Resultssupporting

confidence: 63%

“…Remark In Theorem 1 of [32] predefined parameters are both on the diagonal and counter‐diagonal positions of the conditions. The coupling issue will certainly cause some conservatism.…”

Section: Resultsmentioning

confidence: 99%

“…For continuous systems, a similarity transformation approach by which convex conditions can be directly obtained is designed in [29,30]. Conservatism relaxed conditions are proposed in [31,32]. Membership functions derivatives related methods are investigated in [14].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Novel robust observer‐controller synthesis method for Takagi‐Sugeno systems

Xie

Zheng

et al. 2020

Asian Journal of Control

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For the output feedback control problem of a T-S fuzzy system, an H ∞ observer-controller synthesis method is proposed. First, with parallel distributed compensation fuzzy observer and controller, an augmented error system is obtained. Based on Lyapunov function approaches, system stability and robust conditions are achieved. Then, by dividing the non-convex conditions into observer-dominant and controller dominant parts, the conditions are converted into convex form to facilitate the numerical solving process. Also, input saturation and system measurement disturbance are considered in the synthesis procedure. Finally, a numerical and a vessel control example are adopted to make comparisons with existing methods, with the results clearly showing the conservatism reduction effects and good control performance of the proposed method.

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Section: Resultssupporting

confidence: 63%

“…Remark In Theorem 1 of [32] predefined parameters are both on the diagonal and counter‐diagonal positions of the conditions. The coupling issue will certainly cause some conservatism.…”

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Novel robust observer‐controller synthesis method for Takagi‐Sugeno systems

Xie

Zheng

et al. 2020

Asian Journal of Control

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show abstract

“…Thus, Pólya's theorem can be applied to greatly reduce conservatism. In addition, robust H ∞ control with PDC control was investigated in [35]- [37]. Some imperfect premise-matching methods (imperfect matched cases, as in [38], are induced by different premise variables, MFs, or the rule number in the system plant and controller) have been investigated in [39]- [41].…”

Section: Introductionmentioning

confidence: 99%

Membership-function-dependent stability analysis and local controller design for T–S fuzzy systems: A space-enveloping approach

Zheng

Xie

Lam

et al. 2021

Information Sciences

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“…[9,10]. Many research works on observation and control of T-S models have been discussed in literature [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Simultaneous state and fault estimation for Takagi-Sugeno implicit models with Lipschitz constraints

Ouzaz

Assoudi

Soulami

et al. 2021

Int. J. Optim. Control, Theor. Appl. (IJOCTA)

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This paper presents a state and fault observer design for a class of Takagi-Sugeno implicit models (TSIMs) with unmeasurable premise variables satisfying the Lipschitz constraints. The fault variable is constituted by the actuator and sensor faults. The actuator fault affects the state and the sensor fault affects the output of the system. The approach is based on the separation between dynamic and static relations in the TSIM. Firstly, the method begins by decomposing the dynamic equations of the algebraic equations. Secondly, the fuzzy observer design that satisfies the Lipschitz conditions and permits to estimate simultaneously the unknown states, actuator and sensor faults is developed. The aim of this approach for the observer design is to construct an augmented model where the fault variable is added to the state vector. The exponential convergence of the state estimation error is studied by using the Lyapunov theory and the stability condition is given in term of only one linear matrix inequality (LMI). Finally, numerical simulation results are given to highlight the performances of the proposed method by using a TSIM of a single-link flexible joint robot.

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Observer-based Controller Design for A T-S Fuzzy System with Unknown Premise Variables

Cited by 33 publications

References 37 publications

Novel robust observer‐controller synthesis method for Takagi‐Sugeno systems

Novel robust observer‐controller synthesis method for Takagi‐Sugeno systems

Membership-function-dependent stability analysis and local controller design for T–S fuzzy systems: A space-enveloping approach

Simultaneous state and fault estimation for Takagi-Sugeno implicit models with Lipschitz constraints

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