Reset observer-based fault tolerant control for a class of fuzzy nonlinear time-delay systems

Pourdehi, Shabnam; Karimaghaee, Paknosh

doi:10.1016/j.jprocont.2019.11.001

Cited by 16 publications

(7 citation statements)

References 35 publications

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“…Then, the condition ( 21) is deduced. Finally, the reset control law ( 22) can be obtained by using relations in (28) and (29). □…”

Section: Appendixmentioning

confidence: 99%

“…In [27] and [28], the reset strategy was applied to unknown input observers to estimate the states and faults for linear systems or in a class of nonlinear uncertain systems. [29] proposed an adaptive reset observer design scheme for states and actuator fault estimation in a class of nonlinear time-varying delayed models. In [30], the reset control approach which consists of a proportionalintegral (PI) controller with a Clegg integrator (CI) was utilized to synchronize multi-agent systems.…”

Section: Introductionmentioning

confidence: 99%

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Robust Reset Controller Design for Switched Nonlinear Uncertain Systems

Jeong

Ban

2022

IEEE Access

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This paper presents a design of a robust switching reset controller for a class of nonlinear uncertain switched systems. We consider the norm-bounded time-varying parameter uncertainties in switched nonlinear systems obeyed by the average dwell-time switching signal. The proposed switching reset controller uses the measured output in resetting the controller's states, whereas the previous studies did not. A weighted mixed L 2 /l 2 -gain is introduced to take into account the discrete disturbances induced by the measured output when resetting the controller's states. The proposed reset controller and switched nonlinear uncertain plant form a closed-loop system that is a class of nonlinear impulsive switched uncertain systems. Hence, we first provide sufficient conditions for the L 2 stability of the nonlinear impulsive switched uncertain systems. Based on the conditions, we propose linear matrix inequality (LMI)based design conditions to choose the dynamic output feedback control and output feedback reset laws guaranteeing the weighted mixed L 2 /l 2 -gain performance of the controlled systems with continuous and discrete disturbances. Numerical examples demonstrate the effectiveness of the proposed method.INDEX TERMS Impulsive switched systems, L 2 -stability, linear matrix inequality, nonlinear uncertain systems, reset control systems.

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“…Then, the condition ( 21) is deduced. Finally, the reset control law ( 22) can be obtained by using relations in (28) and (29). □…”

Section: Appendixmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Robust Reset Controller Design for Switched Nonlinear Uncertain Systems

Jeong

Ban

2022

IEEE Access

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show abstract

“…This controller was generalized to first order reset element (FORE) in Reference 2. In the last three decades, various stability results for reset control systems are reported in the literature 3‐10 . For instance,

H_{β}

stability conditions, 11 reset times‐dependent stability, 12 delay‐independent and delay‐dependent stability, 13,14 and passivity‐based approach 15,16 .…”

Section: Introductionmentioning

confidence: 99%

“…In the last three decades, various stability results for reset control systems are reported in the literature. [3][4][5][6][7][8][9][10] For instance, H 𝛽 stability conditions, 11 reset times-dependent stability, 12 delay-independent and delay-dependent stability, 13,14 and passivity-based approach. 15,16 The L 2 exponential stability problem of the reset control systems with time-varying delay was investigated in Reference 17.…”

Section: Introductionmentioning

confidence: 99%

Optimal reset law design based on guaranteed cost control method for Lipschitz nonlinear systems

Shahbazzadeh

Sadati

HosseinNia

2022

Intl J Robust & Nonlinear

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This article proposes a systematic approach for optimal reset law design of a class of nonlinear systems. By using the guaranteed cost control method, sufficient conditions for the design of optimal reset law are derived in terms of linear matrix inequalities. In an offline design procedure, the reset law is computed that minimizes the upper bound of a quadratic cost function. The proposed method can be implemented for real-time applications even with small sampling time. The simulation results verify the efficacy and effectiveness of the proposed theoretical results.

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“…Therefore, time-delayed systems have achieved a lot of attention in recent years (He et al, 2021). A lot of effective research has been presented dealing with the state estimation problem for nonlinear integer-order systems with time delay (Pourdehi and Karimaghaee, 2020; Sun et al, 2020). However, state estimation for nonlinear fractional-order systems with time delay requires more research (Trinh et al, 2019).…”

Section: Introductionmentioning

confidence: 99%

Fuzzy observer–based disturbance rejection control for nonlinear fractional-order systems with time-varying delay

Mahmoudabadi

Tavakoli-Kakhki

2021

Journal of Vibration and Control

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In this article, a Takagi–Sugeno fuzzy model is applied to deal with the problem of observer-based control design for nonlinear time-delayed systems with fractional-order [Formula: see text]. By applying the Lyapunov–Krasovskii method, a fuzzy observer–based controller is established to stabilize the time-delayed fractional-order Takagi–Sugeno fuzzy model. Also, the problem of disturbance rejection for the addressed systems is studied via the state-feedback method in the form of a parallel distributed compensation approach. Furthermore, sufficient conditions for the existence of state-feedback gains and observer gains are achieved in the terms of linear matrix inequalities. Finally, two numerical examples are simulated for the validation of the presented methods.

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Reset observer-based fault tolerant control for a class of fuzzy nonlinear time-delay systems

Cited by 16 publications

References 35 publications

Robust Reset Controller Design for Switched Nonlinear Uncertain Systems

Robust Reset Controller Design for Switched Nonlinear Uncertain Systems

Optimal reset law design based on guaranteed cost control method for Lipschitz nonlinear systems

Fuzzy observer–based disturbance rejection control for nonlinear fractional-order systems with time-varying delay

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