Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time

Zhai, Ding; Lu, An-Yang; Li, Jing‐Hao; Zhang, Qingling

doi:10.1016/j.amc.2015.10.062

Cited by 91 publications

(31 citation statements)

References 34 publications

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“…() The study of switched systems has attracted considerable attention and many excellent results have been reported. () It is well known that a switched system under arbitrary switching is asymptotically stable if and only if a common Lyapunov function (CLF) exists for all subsystems . Recently, some researchers investigated the stabilization or tracking control problem of switched nonlinear systems under arbitrary switching.…”

Section: Introductionmentioning

confidence: 99%

Adaptive asymptotic stabilization of switched parametric strict‐feedback systems with switched control

Zhai

Zhang

2018

Intl J Robust & Nonlinear

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This paper is concerned with the problem of adaptive stabilization for a class of switched linear-parametric nonlinear systems under arbitrary switching. The traditional adaptive backstepping control is successfully extended to switched systems from nonswitched ones where the asymptotic regulation of system state is not destroyed due to rapid or abrupt changes of switching parameters. A new switched adaptive controller is designed by exploiting a common high-orderLyapunov function with a -modification mechanism, which can reflect sufficiently the changes of plant by designing different adaptive laws and control laws for different subsystems. An explicit formula for constructing a continuous and piecewise  n−1 virtual control function is given to remove the restriction where some  ∞ bound functions have to be constructed blindly by designers in the existing results, which may be somewhat too strict to be applied. A numerical example is provided to validate the proposed approach. /journal/rnc Int J Robust Nonlinear Control. 2018;28:3422-3434.ZHAI ET AL. 3423uncertain switching nonlinear functions via fuzzy logic systems or neural networks. 17,22,23 It is shown that these obtained controllers can semiglobally guarantee the tracking error or system state converges to a small neighborhood of the origin. However, for switched parametric nonlinear systems, there are few results on adaptive controller design to guarantee their globally asymptotic stability. The main difficulties are that some key inequalities such as Young's inequality cannot be applied since they may destroy asymptotic regulation. In the work of Chiang and Fu, 21 based on tuning the estimation of the bounds on switching parameters in a transformed system, the adaptive stabilization controllers are designed for nonlinear systems with unknown switching parameters. However, for practical implementation, the asymptotic regulation has to be sacrificed to remove chatting phenomenon.In the aforementioned literature, the key idea to deal with switching uncertainties in the plant is robust adaptive control, ie, adaptively accommodate the worst effects on system of the uncertainties instead of switching ones, and then design adaptive controllers without explicitly considering the changes of plant. 21 Obviously, these control schemes tend to be unduly conservative, and establishing the mode-dependent adaptive estimation and control may be more reasonable in practical applications. In the works of Long et al, 24,25 switched adaptive control problem was considered for switched nonlinearly parameterized systems with unstable subsystems, where different update laws are designed for different subsystems. However, it is required in the works of the aforementioned authors 24,25 that some key  ∞ bound functions should be constructed, not related to switching laws, and satisfy some inequality constraints, which is somewhat too strict in practice to be applied. Moreover, no systematic methods have been proposed to show how to find these bound functions. Hence, the study ...

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Section: Introductionmentioning

confidence: 99%

Adaptive asymptotic stabilization of switched parametric strict‐feedback systems with switched control

Zhai

Zhang

2018

Intl J Robust & Nonlinear

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“…This inspires the authors to adopt piecewise Lyapunov function or functional to analyze the stability of a periodically intermittent control system. The main idea of piecewise Lyapunov function or functional discussed in literatures [18,19,20,21] is to construct different Lyapunov functions or functionals on time interval sequence. In comparison with Lyapunov function or functional, piecewise Lyapunov function or functional overcomes the limitation of Lyapunov function or functional and presents more generality.…”

Section: Introductionmentioning

confidence: 99%

Observer-based periodically intermittent control for linear systems via piecewise Lyapunov function method

Wang

Tan

et al. 2017

Applied Mathematics and Computation

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This paper focuses on the observer-based periodically intermittent control issue for linear systems by utilizing piecewise Lyapunov function method. Based on the concept of intermittent control, the description of an observer-based periodically intermittent controller is initially proposed. Then, stability of the corresponding periodically intermittent control system is analyzed by resorting to piecewise Lyapunov function method. Here, the so-called piecewise Lyapunov function means that Lyapunov function on control time intervals differs from the one on free time intervals. Besides, the existence of an observer-based periodically intermittent controller is converted into the feasibility of linear matrix inequalities. It is worth pointing out that, in comparison with an observer-based continuous controller, the designed observer-based periodically intermittent controller can still retain satisfactory performance with shorter control task execution time. Finally, an illustrative simulation example is given to show the validity and superiority of the result.

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“…Particularly, the problem of H ∞ optimization-based fault detection has been an active research area [4][5][6][7]. However, in many practical cases, the fault detection systems have feedback control, that is, the fault detection system is usually of closed-loop type, and if the fault detection systems are designed separately from the control algorithms, faults may be hidden by control actions and the early detection of faults is clearly more difficult, especially low frequency faults [8][9][10][11][12][13][14][15]. Therefore, the problem of merging the control and fault detection units into a single detector/controller unit, i.e.…”

Section: Introductionmentioning

confidence: 99%

“…simultaneous control and fault detection issue has become a very important research topic in information security field; recently. [8] dealt with the problem of simultaneous finitetime control and fault detection for linear switched systems with state delay and parameter uncertainties; [9] was concerned with the simultaneous robust control and fault detection problem for continuous-time switched systems subject to dwell time constraint; [10] investigated the problem of simultaneous fault detection and control for switched linear systems under a mixed H ∞ /H -framework and [11] presented the problem of simultaneous fault detection and control design for switched systems with two quantized signals; in [12], the authors first attempted to deals with the simultaneous robust fault detection and control problem for a class of nonlinear stochastic switching systems under asynchronous switching; this paper further improved the results in the literature [9].…”

Section: Introductionmentioning

confidence: 99%

Finite-time event-triggered control and fault detection for singular Markovian jump mixed delay systems under asynchronous switching

Zhong

Cheng

2018

Adv Differ Equ

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This paper considers the problem of the simultaneous finite-time event-triggered control and fault detection for a class of continuous-time singular Markovian jump mixed delay systems (SMJDSs) under asynchronous switching. In order to develop the control and detection objectives, the mode-dependent fault detection filters and dynamic feedback event-triggered-based controllers are designed and the switching signal between the detector/controller unit and subsystems is assumed to be asynchronous. Based on average dwell time (ADT) techniques, some new sufficient conditions for the existence of fault detection/controller unit are presented in the framework of linear matrix inequalities (LMIs) to ensure the control system has singular stochastic finite-time stability (SSFTS). Finally, a numerical example is provided to illustrate the effectiveness of the proposed method.

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Simultaneous fault detection and control for switched linear systems with mode-dependent average dwell-time

Cited by 91 publications

References 34 publications

Adaptive asymptotic stabilization of switched parametric strict‐feedback systems with switched control

Adaptive asymptotic stabilization of switched parametric strict‐feedback systems with switched control

Observer-based periodically intermittent control for linear systems via piecewise Lyapunov function method

Finite-time event-triggered control and fault detection for singular Markovian jump mixed delay systems under asynchronous switching

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