Disturbance attenuation properties of time-controlled switched systems

Zhai, Guisheng; Hu, Bo; Yasuda, Kazunori; Michel, Anthony N.

doi:10.1016/s0016-0032(01)00030-8

Cited by 500 publications

(247 citation statements)

References 17 publications

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“…В случае, когда µ = 1, существует число L > 0 такое, что при любых T i L, i ∈ N, нулевое решение соответствующей гибридной систе-мы асимптотически устойчиво в целом [3]. Теорема 1 не позволяет получить аналогичного результата при µ > 1 (например, если T i = L = const > 0, i ∈ N, то условие (6) не выполняется ни при одном значении L).…”

Section: об устойчивости гибридных однородных системunclassified

“…[1]), что при некоторых дополнительных ограничениях на правые части изучаемых систем устойчивость имеет место, если длины интервалов меж-ду последовательными моментами переключения достаточно велики. Однако данный подход хорошо разработан только для линейных и квазилинейных си-стем [1][2][3]. Основной целью настоящей статьи является его распространение на нелинейные системы с однородными правыми частями.…”

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Об Устойчивости Гибридных Однородных Систем

Александров¹,

Aleksandrov²,

Платонов³

et al. 2010

J. Samara State Tech. Univ., Ser. Phys. & Math. Sci.

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Section: об устойчивости гибридных однородных системunclassified

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Об Устойчивости Гибридных Однородных Систем

Александров¹,

Aleksandrov²,

Платонов³

et al. 2010

J. Samara State Tech. Univ., Ser. Phys. & Math. Sci.

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“…Switching control has been applied in a wide range of the physical and engineering systems, such as aircraft multi-mode control [4], missile autopilot design [5], and spacecraft formation control [6]. Several approaches for the filter design have been proposed, such as multiple Lyapunov functions approach [7], dwell-/average dwell-time approach [8][9][10][11], switched Lyapunov function approach [12,13], etc.…”

Section: Introductionmentioning

confidence: 99%

Fault detection for switched systems with finite-frequency specifications

Zhao

2012

Nonlinear Dyn

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This paper is concerned with the fault detection filter design problem for a class of discretetime switched systems whose output can track a timevarying and known frequency region reference input under arbitrary switchings. Faults detection filters are designed to guarantee that the disturbance attenuation performance is satisfied for all subsystems, the reference input attenuation performance is satisfied for the fault-free case, meanwhile, the reference input sensitivity performance is satisfied for the fault cases. With the aid of virtue of the frequency of the reference input in the finite-frequency region which is known beforehand, the finite-frequency H − performance for switched systems is firstly defined. Sufficient conditions for the fault detection filter are given in terms of solutions to a set of linear matrix inequalities, furthermore, the filter gains are characterized in terms of the solution of a convex optimization problem. A numer-

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“…A first distinction can be made between those works where the switching signal is considered the only manipulable variable, like [11], and those where it represents an exogenous input, possibly available in real time, while the manipulable variable is a standard control input, like [12]. In-between cases, where both the switching rule and the control input may be designed, have also been examined [13][14][15].…”

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confidence: 99%

“…In-between cases, where both the switching rule and the control input may be designed, have also been examined [13][14][15]. Another distinctive feature concerns the meaning of decoupling: i.e., while the objective of some studies is rendering the output totally insensitive to the disturbance [13][14][15][16], the aim of some others is achieving a certain attenuation level [11,12,17].…”

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confidence: 99%

Stability issues in disturbance decoupling for switching linear systems

Zattoni

2015

2015 Proceedings of the Conference on Control and Its Applications

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Disturbance decoupling -i.e., the problem of making the output of a dynamical system insensitive to undesired inputs -is a classical problem of control theory and a main concern in control applications. Hence, it has been solved for many classes of dynamical systems, considering both structural and stability requirements. As to decoupling in linear switching systems, several definitions of stability apply. The aim of this contribution is investigating different decoupling problems with progressively more stringent stability requirements: from structural decoupling to decoupling with local input-to-state stability. A convex procedure for the computation of the switching compensator is presented, based on the fact that quadratic stability under arbitrary switching guarantees global uniform asymptotic stability and the latter implies local input-to-state stability. Measurable and inaccessible disturbances are considered in a unified setting. The work is focused on discrete-time systems, although all the results hold for continuous-time systems as well, with the obvious modifications.1 Introduction. Disturbance decoupling, which is a main issue in control system design, was first solved for linear systems in the late sixties, within the geometric approach (see, e.g., [1,2] and the references therein). Since then, the problem has been reformulated for different classes of dynamical systems and, due to the peculiarities of each context, it still attracts a fair amount of research effort: e.g., nonlinear systems have recently been considered in [3], descriptor systems and systems over rings in [4], timedelay systems in [5], linear parameter varying systems in [6,7].Lately, disturbance decoupling has been tackled for switching linear systems, that are dynamical systems described by a set of linear time-invariant systemseach of them modeling a different mode of operationand a switching signal, designating the active mode at each time instant [8][9][10]. Indeed, when switching linear systems are involved, the problem of disturbance decoupling lends itself to a number of formulations, character-

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Disturbance attenuation properties of time-controlled switched systems

Cited by 500 publications

References 17 publications

Об Устойчивости Гибридных Однородных Систем

Об Устойчивости Гибридных Однородных Систем

Fault detection for switched systems with finite-frequency specifications

Stability issues in disturbance decoupling for switching linear systems

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