Fault recoverability analysis of switched systems

Yang, Hao; Jiang, Bin; Staroswiecki, Μ.

doi:10.1080/00207721.2010.517861

Cited by 20 publications

(5 citation statements)

References 13 publications

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“…Switched systems, multiagent systems and stochastic systems are the most researched in these years. Specifically, H-infinity adaptive tracking control (Wu & Zhao, 2015) and fault recoverability analysis (Yang et al, 2012) were applied to switched systems using average dwelltime method, and the least eigenvalue method, respectively. Multiagent systems had a focus on consensus, including multi-target consensus circle pursuit (Pei et al, 2016), distributed robust finite-time nonlinear consensus protocols (Zuo & Tie, 2016), and group consensus with directed information exchange (Yu & Wang, 2012).…”

Section: Problems Addressedmentioning

confidence: 99%

50 Years of international journal of systems science: a review of the past and trends for the future

Wang

Chang

Zhang

et al. 2020

International Journal of Systems Science

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International Journal of Systems Science (IJSS) is an international journal in the fields of Automation & Control Systems, Computer Science, and Operations Research & Management Science. This paper is a celebration of the 50th anniversary of IJSS. A Web of Science count of 7528 documents were derived from 1970 to 2019 as data sources for the bibliometric analysis. First, the fundamental characteristics of the documents were identified from the bibliometric indicators, and features of keywords were revealed over the half century. A timeline and occurrence analyses were conducted via the software tools, through which popular keywords were visualised in different time periods. These were then grouped into four categories by a hierarchical clustering method, and emerging keywords were selected using burst detection analysis. This was followed by the Autoregressive Integrated Moving Average modelling to predict the future research trends in the four clusters as evidenced in the historical data. Documents were discussed in the recent 20 years towards guiding scholars in three aspects, i.e. problems addressed, popular methodologies, and impact in the relevant fields. Finally, a summary of the main findings was given in the conclusions.

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Section: Problems Addressedmentioning

confidence: 99%

50 Years of international journal of systems science: a review of the past and trends for the future

Wang

Chang

Zhang

et al. 2020

International Journal of Systems Science

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“…As for the non‐linear systems, FR has been analysed in [8] based on piecewise affine system approach. Furthermore, such a property has also been analysed and evaluated for switched linear and non‐linear systems in [9, 10].…”

Section: Introductionmentioning

confidence: 99%

Fault recoverability analysis of interconnected systems

Huang

Yang

Ren

et al. 2019

IET Control Theory & Applications

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“…On the one hand, so many real‐world systems can be modelled as switched systems, such as chemical systems, power systems and communication networks [9–14]. On the other hand, the switching control strategy has been widely used in various advanced controls, such as in [15–20]. When the switching law has no given mode (or is arbitrary), one way to investigate the stability and stabilisation problems is to find a common Lyapunov function (CLF) for all the subsystems.…”

Section: Introductionmentioning

confidence: 99%

State‐constrained robust stabilisation for a class of high‐order switched non‐linear systems

Niu

Xiang

2015

IET Control Theory & Applications

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This study deals with the problem of robust stabilisation for a class of state-constrained high-order uncertain switched non-linear systems in lower triangular form. Bounded state-feedback controllers are designed to assure that asymptotic stabilisation is achieved in a domain without violation of the state constraint, and all closed-loop signals are bounded, when an appropriate requirement on the initial condition is imposed. Simulation results are provided to show the efficiency of the developed method. IntroductionDuring the past few decades, switched systems have received considerable attention [1][2][3][4][5][6][7][8]. The motivation for the study of such systems stems from two aspects. On the one hand, so many realworld systems can be modelled as switched systems, such as chemical systems, power systems and communication networks [9][10][11][12][13][14]. On the other hand, the switching control strategy has been widely used in various advanced controls, such as in [15][16][17][18][19][20]. When the switching law has no given mode (or is arbitrary), one way to investigate the stability and stabilisation problems is to find a common Lyapunov function (CLF) for all the subsystems. However, finding a CLF for a family of subsystems is still an open problem, even though some progress has been made [21][22][23][24]. Backstepping design technique is a power tool for constructing stabilising controller for non-linear systems in lower triangular form, and many significant developments have been achieved based on this technique [25][26][27][28][29][30]. This design method is, of course, expected to be useful for stabilising a switched non-linear system. However, according to the standard backstepping procedure, backstepping cannot be directly extended to the switched non-linear system in lower triangular form because of the different coordinate transformations for different subsystems [31,32]. Furthermore, the so-called adding a power integrator backstepping design method is proposed in [33][34][35][36], which is used in the controller design for high-order non-linear systems. Nevertheless, there exist only a few results on high-order switched non-linear system in lower triangular form [37,38]. In addition, it is worth pointing out that many systems in practice have states/output constraints. Therefore the constrained control problem of switched systems is of great significance. Unfortunately, these constraints are not widespreadly taken into account in the aforementioned papers. A few exceptions are [39], in which tracking control for switched lower triangular systems with time-varying output constraints is achieved, and [40], which proposed a control design method for a class of switched non-linear systems with full state constraints.On the other hand, there exist several techniques to solve the constrained control problem for linear systems and non-linear systems. In the literature, most of the results are based on the notions of set invariance and admissible set control [41,42]. Model predictive control that repre...

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Fault recoverability analysis of switched systems

Cited by 20 publications

References 13 publications

50 Years of international journal of systems science: a review of the past and trends for the future

50 Years of international journal of systems science: a review of the past and trends for the future

Fault recoverability analysis of interconnected systems

State‐constrained robust stabilisation for a class of high‐order switched non‐linear systems

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