Passivity-based asynchronous fault-tolerant control for nonlinear discrete-time singular markovian jump systems: A sliding-mode approach

Kchaou, Mourad; Jerbi, Houssem; Abassi, Rabeh; VijiPriya, Jeyamani; Hmidi, Faical; Kouzou, Abdallah

doi:10.1016/j.ejcon.2021.04.004

Cited by 30 publications

(18 citation statements)

References 47 publications

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“…Furthermore, they will affect primarily the amplitude of inputs. Compared with other control methods [8,9], the nonlinear smooth feedback control law obtained in this article has a larger convergence range for its global asymptotic stabilization.…”

Section: Matching Control Law and Stability Analysismentioning

confidence: 92%

“…In view of the mathematic model of a three-phase asynchronous motor, the following assumptions are expressed as follows [9]:…”

Section: Mathematical Modelmentioning

confidence: 99%

“…Wu et al discussed the problem of asynchronous passive control of Markov jump systems and obtained three equivalent su cient conditions to ensure the random passivity of hidden Markov jump systems by using matrix inequality technology. Based on the established conditions, an asynchronous controller is designed [7][8][9]. Yu et al studied the tracking control of the underactuated dynamic system and proposed a six-step motion strategy of the pendulum driven vehicle rod system [10,11].…”

Section: Introductionmentioning

confidence: 99%

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Design of Asynchronous Motor Controller Based on Controlled Lagrangians Method

Yun-bo

Liu²,

et al. 2022

Mathematical Problems in Engineering

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Asynchronous motor system has the characteristics of high order, strong coupling, and nonlinearity. From the dynamical model, it is the underactuated mechanical system, which means that the dimension of its input space is fewer than the degree of freedom. Following this perspective, the energy based nonlinear control technology-CL (controlled Lagrangians) method is used to solve the control problem in this paper. Based on the expected controlled energy and its derivative with respect to time, controlled Lagrangians and generalized force are constructed, and they produce the controlled equations. In order to ensure the complete matching between the controlled equation and the original equation, the gyroscopic forces containing the first-order term of velocity are innovatively introduced into the generalized force, and the matching conditions are obtained. By solving the matching conditions composed of some partial differential equations, the nonlinear smooth feedback control law can realize the global asymptotic stabilization of not only velocity but also position. Finally, the controlled energy is selected as the Lyapunov function, and the stability is proved according to the LaSalle invariant theorem. The effectiveness of the designed control law is demonstrated in the results of the simulation.

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Section: Matching Control Law and Stability Analysismentioning

confidence: 92%

“…In view of the mathematic model of a three-phase asynchronous motor, the following assumptions are expressed as follows [9]:…”

Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Design of Asynchronous Motor Controller Based on Controlled Lagrangians Method

Yun-bo

Liu²,

et al. 2022

Mathematical Problems in Engineering

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“…The goal of this issue is to introduce the concept of fault-tolerant control (FTC) and fault diagnosis as critical approaches for designing reliable controllers that are capable of maintaining the critical functionality of systems subject to problems and failures. Reviewing the literature, many elegant reported results related to this area have been proposed for different classes of systems (Wang et al, 2018;Kchaou et al, 2021;Yan et al, 2019). To mention a few, Kaviarasan et al (2016) developed a method for designing faulttolerant controllers for power systems subject to random changes and actuator failures.…”

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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“…Singular systems cover many engineering fields and the control problems regarding this class of systems have attracted a great deal of research attention in the last few decades and many achievements have been made [17][18][19][20][21][22]. Particularly, discrete-time singular systems have recently received more research value in asymptotic stability, regularity and causality, reliability, and nonfragility [23][24][25][26][27][28][29]. Note that, if the state variables are not available for measurement, the static/dynamic output feedback (SOF/DOF) controllers are often investigated as an alternative to control engineering processes.…”

Section: Introductionmentioning

confidence: 99%

H∞ Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation

et al. 2021

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In this study, we investigate the H∞ fault-tolerant control problem for a discrete-time singular system which is subject to external disturbances, actuator faults, and sensor saturation. By assuming that the state variable of the system is unavailable for measurement, and the actuator fault can be described by a Markovian jump process, attention is mainly focused on designing a reliable dynamic output-feedback (DOF) controller able to compensate for the effects of the aforementioned factors on the system stability and performance. Based on the sector non-linear approach to handle the sensor saturation, a new criterion is established to ensure that the closed-loop system is stochastically admissible with a γ level of the H∞ disturbance rejection performance. The main aim of this work is to develop a procedure for synthesizing the controller gains without any model transformation or decomposition of the output matrix. Therefore, by introducing a slack variable, the H∞ admissibility criterion is successfully transformed in terms of strict linear matrix inequalities (LMIs). Three practical examples are exploited to test the feasibility and effectiveness of the proposed approach.

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Passivity-based asynchronous fault-tolerant control for nonlinear discrete-time singular markovian jump systems: A sliding-mode approach

Cited by 30 publications

References 47 publications

Design of Asynchronous Motor Controller Based on Controlled Lagrangians Method

Design of Asynchronous Motor Controller Based on Controlled Lagrangians Method

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

H∞ Reliable Dynamic Output-Feedback Controller Design for Discrete-Time Singular Systems with Sensor Saturation

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