SMC Design for Robust Stabilization of Nonlinear Markovian Jump Singular Systems

Wang, Yueying; Xia, Yuanqing; Shen, Hao; Zhou, Pingfang

doi:10.1109/tac.2017.2720970

Cited by 291 publications

(131 citation statements)

References 27 publications

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“…Therefore, robust filtering has attracted wide research attention in the past years. In the literature, uncertainties are usually considered in three types including norm‐bounded uncertainty, polytopic uncertainty, and stochastic uncertainty . In most of the existing methods, the norm‐bounded uncertainties and/or stochastic uncertainties are often considered just in some matrices of the system model .…”

Section: Introductionmentioning

confidence: 99%

Robust distributed H_∞ filtering over an uncertain sensor network with multiple fading measurements and varying sensor delays

Hedayati

Rahmani

2019

Intl J Robust & Nonlinear

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Summary In this paper, the problem of robust distributed H∞ filtering is investigated for state‐delayed discrete‐time linear systems over a sensor network with multiple fading measurements, random time‐varying communication delays, and norm‐bounded uncertainties in all matrices of the system. The diagonal matrices, whose elements are individual independent random variables, are utilized to describe the multiple fading measurements. Furthermore, the Bernoulli‐distributed white sequences are introduced to model the random occurrence of time‐varying communication delays. In the proposed filtering approach, the stability of the estimation error system is first shown by the Lyapunov stability theory and the H∞ performance is then achieved using a linear matrix inequality method. Finally, two numerical examples are given to show the effectiveness and performance of the proposed approach.

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Section: Introductionmentioning

confidence: 99%

Robust distributed H_∞ filtering over an uncertain sensor network with multiple fading measurements and varying sensor delays

Hedayati

Rahmani

2019

Intl J Robust & Nonlinear

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“…It is comparatively easy to apply SMC for complex dynamical systems. It has a distinctive stand in control theory due to its extreme robustness character, accuracy, implementation flexibility, and fast response for mismatches . Since late 1970s, SMC has been widely implemented in different real‐time engineering problems such as industrial control problems, for underwater vehicles, for robotic manipulators, for unmanned aerial vehicles, for aircrafts, in power systems, and for nonlinear time‐delay descriptor systems and singularly perturbed systems (SPS) etc.…”

Section: Introductionmentioning

confidence: 99%

Disturbance observer–based adaptive boundary layer sliding mode controller for a type of nonlinear multiple‐input multiple‐output system

Gurumurthy

Das

2019

Intl J Robust & Nonlinear

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Summary In this paper, a disturbance observer–based adaptive boundary layer sliding mode controller (ABLSMC) is proposed to compensate external disturbance and system uncertainty for a class of output coupled multiple‐input multiple‐output (MIMO) nonlinear systems. To show the effectiveness of the proposed ABLMSC, a traditional adaptive sliding mode controller (ASMC) is also designed. The stability of the closed‐loop system is examined by using the Lyapunov stability approach. The proposed control approach is implemented for a class of nonlinear output coupled MIMO systems. For real‐time validation, a coupled tank system is considered for study. Finally, simulation and real‐time results show that the proposed ABLMSC gives better performance such as reduced chattering and energy efficiency than that of the ASMC and some reported works in the literature.

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“…Due to their great application potential in engineering, much effort has been focused on solving the stability and stabilization problem of MJSs during the past decades . Moreover, a great number of researchers' interesting has been attracted to address the FTC problems for MJSs through SMC, and some related results have been proposed …”

Section: Introductionmentioning

confidence: 99%

Asynchronous adaptive output feedback sliding mode control for Takagi‐Sugeno fuzzy Markovian jump systems with actuator faults

Liu

Zhang

et al. 2019

Adaptive Control & Signal

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Summary In this article, the problem of asynchronous adaptive dynamic output feedback sliding mode control (SMC) for a class of Takagi‐Sugeno (T‐S) fuzzy Markovian jump systems (MJSs) with actuator faults is investigated. The asynchronous dynamic output feedback control strategy is employed, as the nonsynchronization phenomenon of jump modes exists between the plant and the controller. A novel asynchronous adaptive SMC approach is proposed to solve the synthesis problem for T‐S fuzzy MJSs with actuator faults. Sufficient conditions for stochastic asymptotic stability of T‐S fuzzy MJSs are given. Under the designed asynchronous adaptive SMC scheme, the effects of actuator faults and external disturbance can be completely compensated and the reachability of sliding surface is ensured. Finally, an example is provided to demonstrate the effectiveness of the proposed design techniques.

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SMC Design for Robust Stabilization of Nonlinear Markovian Jump Singular Systems

Cited by 291 publications

References 27 publications

Robust distributed H_∞ filtering over an uncertain sensor network with multiple fading measurements and varying sensor delays

Robust distributed H_∞ filtering over an uncertain sensor network with multiple fading measurements and varying sensor delays

Disturbance observer–based adaptive boundary layer sliding mode controller for a type of nonlinear multiple‐input multiple‐output system

Asynchronous adaptive output feedback sliding mode control for Takagi‐Sugeno fuzzy Markovian jump systems with actuator faults

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SMC Design for Robust Stabilization of Nonlinear Markovian Jump Singular Systems

Cited by 291 publications

References 27 publications

Robust distributed H∞ filtering over an uncertain sensor network with multiple fading measurements and varying sensor delays

Robust distributed H∞ filtering over an uncertain sensor network with multiple fading measurements and varying sensor delays

Disturbance observer–based adaptive boundary layer sliding mode controller for a type of nonlinear multiple‐input multiple‐output system

Asynchronous adaptive output feedback sliding mode control for Takagi‐Sugeno fuzzy Markovian jump systems with actuator faults

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Robust distributed H_∞ filtering over an uncertain sensor network with multiple fading measurements and varying sensor delays

Robust distributed H_∞ filtering over an uncertain sensor network with multiple fading measurements and varying sensor delays