Simultaneous fault detection and control for discrete-time switched systems under relaxed persistent dwell time switching

This paper focuses on the problem of simultaneous control and fault detection (FD) for discrete‐time switched systems. The main goal is to develop a control/detection unit (CDU) associated with a switching law to control the system and detect faults simultaneously. When the switched systems are with partial measurable states, we directly use these states to construct partial control and FD signals. Next, the reduced‐order CDU is designed to generate the other control and FD signals. Compared with existing results based on full‐order CDU, the proposed results lead to less conservatism and reduce design complexity. The switching law is constructed in the frame of persistent dwell time (PDT) switching. A novel switching number constraint condition is introduced, which further relaxes the restrictions on the dwell time of switching processes of PDT. The less restriction on dwell time degrades the performance requirement of each subsystem and upgrades the degree of freedom for switching law design. Based on the proposed results, a class of nonweighted performance indexes is introduced to characterize the fault sensitivity and robustness. Finally, the effectiveness of the proposed method is illustrated by an example.

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“…Based on Du et al [27] and Zhao et al [28], the residual evaluation function J r (k) and threshold J th are formulated as follows:…”

Section: Detection Thresholdmentioning

confidence: 99%

“…Based on Du et al [27] and Zhao et al [28], the residual evaluation function J r ( k ) and threshold J th are formulated as follows:

J_{r} false(k false) = \sqrt{\frac{1}{k} true \sum_{k = k_{0}}^{L} r^{normalT} false(k false) r false(k false)},

J_{t h} = \sup_{d false(k false) \in l_{2}, f false(k false) = 0} J_{r} false(k false) .

…”

Section: Detection Thresholdmentioning

confidence: 99%

Simultaneous reduced‐order control and fault detection for discrete‐time switched systems with relaxed persistent dwell time regularity

Guo

Long

et al. 2022

Asian Journal of Control

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“…We then select a set of specific solutions of (33) as and according to Algorithm 1, the coefficient matrices of FIO can be obtained as We choose the initial conditions as…”

Section: Numerical Examplementioning

confidence: 99%

“…A state observer provides an estimate of the internal state of a given real system by using the input and output of the real system [20,21] and provides the basis for many practical applications, such as fault detection [24,33], permanent magnet synchronous motor servo systems [19], DC motors [31], spacecraft flying-around [34], ball and beam systems [18], complex dynamic networks [17] and bank-to-turn (BTT) aircraft control systems [11]. Moreover, other researchers have also provided observer-based output feedback control strategies [12,13,32,35,37,38].…”

Section: Introductionmentioning

confidence: 99%

Parametric Design of Functional Interval Observer for Time-Delay Systems with Additive Disturbances

Liu

2021

Circuits Syst Signal Process

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In this paper, a parametric method to design a functional interval observer (FIO) for time-delay systems with both input and output additive disturbances is investigated. First, a novel definition and sufficient condition for the existence of an FIO are proposed. Inspired by the solution of a class of generalized Sylvester matrix equations (GSEs), completely parameterized expressions of FIO coefficient matrices are established. The parameter matrices in the expressions can be utilized as the design degrees of freedom and optimized to improve the convergence rate of the error system. Finally, a numerical example and a real-world example are presented to demonstrate the effectiveness of the proposed method. KeywordsFunctional interval observer • Time-delay systems • Generalized Sylvester matrix equations • Additive disturbances B Yin-Dong Liu

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“…Controller synthesis of discrete-time time-delay systems with state saturation non-linearities was investigated in Ji et al (2011). More results can be found in the literatures (Cui et al, 2022; Li et al, 2021; Zhao et al, 2022). It should be pointed out that there are n H ∞ o results on randomly occurring sensor saturation problems of positive systems.…”

Section: Introductionmentioning

confidence: 99%

Event-triggered control of positive switched systems with randomly occurring state saturation

Jiao

Zhang

Jia

et al. 2022

Transactions of the Institute of Measurement and Control

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This paper is concerned with the event-triggered control of positive switched systems with randomly occurring state saturation. First, a vector-based event-triggering condition is established. Thus, interval and polytope approaches are used to deal with the positivity and stability of the systems and the saturation, respectively. An event-triggered controller and the corresponding domain of attraction are designed by decomposing gain matrix into the sum of non-negative and non-positive components. The proposed design approach is developed for the systems with input saturation. Finally, two examples are given to illustrate the effectiveness of the proposed design.

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Simultaneous fault detection and control for discrete-time switched systems under relaxed persistent dwell time switching

Cited by 17 publications

References 44 publications

Simultaneous reduced‐order control and fault detection for discrete‐time switched systems with relaxed persistent dwell time regularity

Simultaneous reduced‐order control and fault detection for discrete‐time switched systems with relaxed persistent dwell time regularity

Parametric Design of Functional Interval Observer for Time-Delay Systems with Additive Disturbances

Event-triggered control of positive switched systems with randomly occurring state saturation

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