Sampled-data static output-feedback control for nonlinear systems in T–S form via descriptor redundancy

Kang, Hyoung Bin; Lee, Ho Jae

doi:10.1016/j.neucom.2018.06.048

Cited by 10 publications

(3 citation statements)

References 22 publications

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“…Therefore, the application of the T-S fuzzy model greatly expands the research field of nonlinear control theory. As a result, a rich literature related to controller design, filtering design, and stability analysis on T-S has been published (Latrech et al, 2018;Kang and Lee, 2018;Shi et al, 2020;Makni et al, 2019;Tao et al, 2018;Kchaou et al, 2018). In the quoted papers, the tracking control problem for T-S fuzzy models has been tackled (Fu et al, 2022;Li et al, 2022;Zhang et al, 2015;Gu et al, 2017).…”

Section: Introductionmentioning

confidence: 99%

Robust fault-tolerant tracking control for a class of T-S fuzzy systems subject to actuator failure and external disturbance

Alkaik¹,

Kchaou²

2023

Int. j. adv. appl. sci.

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Based on the Takagi-Sugeno (T-S) fuzzy model approach, this study discusses the robust fault-tolerant tracking controller design for non-linear systems affected by external disturbances, uncertainties, and actuator failures. In contrast to existing results, this study assumes the actuator fault model includes linear and nonlinear terms, and a state feedback controller is designed to improve the tracking and stability of the system when actuators fail. Using a non-quadratic Lyapunov function, new sufficient conditions for L_2-gain tracking performance analysis are derived to determine simultaneously the minimal level of the L_2-gain and controller gains. The robustness of the proposed approach is also investigated. An illustration of the theoretical developments is provided by a Duffing forced oscillation system.

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Section: Introductionmentioning

confidence: 99%

Robust fault-tolerant tracking control for a class of T-S fuzzy systems subject to actuator failure and external disturbance

Alkaik¹,

Kchaou²

2023

Int. j. adv. appl. sci.

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“…1. Instead of existing fuzzy static output control schemes (Latrech et al, 2018;Kang and Lee, 2018), this study introduces a new model of the fault including a non-linear part to deal with reliable control problems for T-S fuzzy systems subject to exogenous disturbance and nonlinear actuator faults. 2.…”

Section: Introductionmentioning

confidence: 99%

“…3. Different from the results suggested in Latrech et al (2018) and Kang and Lee (2018), where the descriptor-redundancy scheme is adopted to design the SOF controller, in this study, we examine the properties of some specific slack matrices to convert bi-linear matrix conditions to LMI ones using an appropriate model transformation. Moreover, the design conditions are derived as a one-step LMI problem without ensuing equality constraints.…”

Section: Introductionmentioning

confidence: 99%

𝑯∞ reliable fuzzy control for vehicle dynamics stability

Alshammari¹,

Kchaou²

2023

Int. j. adv. appl. sci.

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This article introduces a reliable control scheme for a four-wheel vehicle. This scheme assumes that actuators fail and external disturbances occur to the system. In contrast to existing results, this study assumes the actuator fault model includes linear and nonlinear terms, and an output feedback controller is designed to improve vehicle stability and handling when actuators fail. Using Takagi-Sugeno (T-S) fuzzy models, a reliable fuzzy static output feedback (SOF) controller is designed to address the nonlinear aspect of the system. Based on the non-quadratic Lyapunov function with auxiliary matrices, less conservative sufficient conditions are established such that the closed-loop system is stable with a γ level of H_∞ performance against external disturbances. Furthermore, using an appropriate model transformation, a set of linear matrix inequalities (LMIs) is formulated to synthesize the controller gains. The proposed scheme is then tested using numerical experiments to demonstrate potential applications and validate its effectiveness.

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Robust $$\mathcal {L}_{\infty }$$–$$l_{\infty }$$ Sampled-Data Dynamic Output-Feedback Control for Uncertain Linear Time-Invariant Systems Through Descriptor Redundancy

Lee

Moon

Jee

et al. 2020

J. Electr. Eng. Technol.

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Sampled-data static output-feedback control for nonlinear systems in T–S form via descriptor redundancy

Cited by 10 publications

References 22 publications

Robust fault-tolerant tracking control for a class of T-S fuzzy systems subject to actuator failure and external disturbance

Robust fault-tolerant tracking control for a class of T-S fuzzy systems subject to actuator failure and external disturbance

𝑯∞ reliable fuzzy control for vehicle dynamics stability

Robust $$\mathcal {L}_{\infty }$$–$$l_{\infty }$$ Sampled-Data Dynamic Output-Feedback Control for Uncertain Linear Time-Invariant Systems Through Descriptor Redundancy

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