Robust Stabilization and Control of Takagi–Sugeno Fuzzy Systems with Parameter Uncertainties and Disturbances via State Feedback and Output Feedback

Ahammed, A. K. Iqbal; Azeem, Mohammed Fazle

doi:10.1007/s40815-019-00709-8

Cited by 11 publications

(3 citation statements)

References 40 publications

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“…For example, the authors in (Salehifar et al (2021)) have been investigated the problem of robust observer-based control for one-sided Lipschitz nonlinear systems subject to parametric uncertainties and external disturbances. Several other articles have addressed the stable stabilization problem of uncertain Takagi-Sugeno (T-S) fuzzy models (Ahammed and Azeem 2019;Dong et al 2021;Zhu et al 2021). In (Islam et al (2020)), the robust controller design for an uncertain fuzzy system with time-varying time-delay was investigated using a fuzzy functional observer.…”

Section: Introductionmentioning

confidence: 99%

Design of robust control for uncertain fuzzy quadruple-tank systems with time-varying delays

et al. 2022

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The robust $$H_\infty$$ H ∞ observer-based control design is addressed here for non-linear Takagi-Sugeno (T-S) fuzzy systems with time-varying delays, subject to uncertainties and external disturbances. This is motivated by the quadruple-tank with time delay control problem. The observer design methodology is based on constructing an appropriate Lyapunov–Krasovskii functional (LKF) for an augmented system formed from the original and the delayed states. The bilinear terms are transferred to the linear matrix inequalities, thanks to a change of variables which can be solved in one step. Furthermore, by employing the $$\mathcal {L}_2$$ L 2 performance index, the adverse effects of persistent bounded disturbances is largely avoided. The proposed method has the advantage of relating the controller and Lyapunov function to both the original and delayed states. Then, the controller and observer gains are obtained simultaneously by solving these inequalities with off-the-shelf software (Yalmip/MATLAB toolbox). Finally, an application to a simulated quadruple-tank system with time delay is carried out to demonstrate the benefits of the proposed technique, showing a compromise between controller simplicity and robustness that outperforms previous approaches.

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Section: Introductionmentioning

confidence: 99%

Design of robust control for uncertain fuzzy quadruple-tank systems with time-varying delays

et al. 2022

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“…Wang et al 5 discussed about the stability for T-S fuzzy system by using the observer and controller. Ahammed and Azeem 6 proposed a method named robust stabilization and control of T-S system based on state and output feedback. Besides, when the system is working always existed many disturbance, system parameters variation, and unmolded system dynamics.…”

Section: Introductionmentioning

confidence: 99%

Robust control-based disturbance observer and optimal states feedback for T–S fuzzy systems

Giap

Huang

Nguyen

et al. 2020

Journal of Low Frequency Noise, Vibration and Active Control

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This paper presents a robust control methodology based on a disturbance observer and an optimal states feedback for Takagi–Sugeno fuzzy system. Firstly, the nonlinear systems were solved by applying a sector nonlinearity method to get the inner linear subsystems and outer fuzzy membership functions, which guaranteed the conversion without any loss generality characteristics of the system. Secondly, an exponentially convergent disturbance observer was constructed to the system with an assumption that the system states are temporarily bounded. Thirdly, a states observer was built by poles placement of linear quadratic regulation optimization, which was used to place the system states error poles located on the stable region. Finally, simulation examples were given to figure out that the proposed controller is effective to control the Takagi–Sugeno fuzzy system. The obtained results are disturbance mostly rejected, state estimation errors are quite small, and the output signal precisely tracked input signal.

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“…Some application of the LPV control theory to a CSTR using linearization approach have been presented in Tamboli and Chile (2018). However, the main drawback is that there is no general method to select the linearization points (Ahammed and Azeem, 2019).…”

Section: Introductionmentioning

confidence: 99%

Concentration estimation and fault tolerant control in a CSTR modelled as a quasi linear parameter varying system

Torres¹,

Rumbo‐Morales²,

Vázquez³

et al. 2020

Rev.Mex.Ing.Quim.

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Robust Stabilization and Control of Takagi–Sugeno Fuzzy Systems with Parameter Uncertainties and Disturbances via State Feedback and Output Feedback

Cited by 11 publications

References 40 publications

Design of robust control for uncertain fuzzy quadruple-tank systems with time-varying delays

Design of robust control for uncertain fuzzy quadruple-tank systems with time-varying delays

Robust control-based disturbance observer and optimal states feedback for T–S fuzzy systems

Concentration estimation and fault tolerant control in a CSTR modelled as a quasi linear parameter varying system

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