Robust Finite-time Extended Dissipative Control for a Class of Uncertain Switched Delay Systems

Gao, Hui; Xia, Jianwei; Zhuang, Guangming

doi:10.1007/s12555-017-0393-7

Cited by 14 publications

(5 citation statements)

References 21 publications

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“…From (8) and (9), we know that R j ( ) + R T j ( ) > 0, which means R j ( ) is nonsingular. Then, (14) is equivalent to (15), which yields the following inequality with k ∈…”

Section:  ∞ Filter Designmentioning

confidence: 99%

“…Switched systems consist of subsystems and a switching law by which these subsystems are activated in some time intervals. For switched systems, 3-12 the switching law has an important role in the performance analysis and synthesis, which results in that several classes of switching laws appear, such as Markov‐dependent switching laws, 6,11,13 and dwell time‐dependent switching laws 3-5,7-10,12 . By the former switching law, switchings among subsystems take place dependent on the transition probability; while, by the later switching law, switchings among these subsystems depend on the dwell time conditions.…”

Section: Introductionmentioning

confidence: 99%

“…By the former switching law, switchings among subsystems take place dependent on the transition probability; while, by the later switching law, switchings among these subsystems depend on the dwell time conditions. For switched systems with dwell time‐dependent switching laws, the average dwell time (ADT) technique 3,4,8,9,14 and the mode‐dependent average dwell time (MDADT) technique 12,15,16 are commonly used to study the stability analysis and controller design. In contrast with the former, much freedom can be provided to the conditions by the latter because each subsystem has its own ADT.…”

Section: Introductionmentioning

confidence: 99%

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Quasi‐time‐dependent asynchronous filtering for discrete time switched systems via the event triggering mechanism

Zhao

Park

2020

Intl J Robust & Nonlinear

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This article is concerned with the quasi-time-dependent asynchronous  ∞ filter design problem for a class of discrete-time switched systems via the event-triggering mechanism. Applying the quasi-time-dependent Lyapunov functions and the mode-dependent average dwell time technique, an asynchronous  ∞ filter is designed with a weighted performance index; the filter parameter matrices are quasi-time-dependent in each event-triggering-dependent sampling interval; both cases (Case 1: no more than one switching, Case 2: multiple switchings) are taken into account in this sampling interval, by which the assumption, that the maximal asynchronous period is not larger than the minimal dwell time, is relaxed in this article. Simulation examples are given to show the less conservatism and effectiveness of the proposed results. K E Y W O R D S event triggering mechanism, mode-dependent average dwell time, quasi-time-dependent asynchronous filter 1 INTRODUCTION Switched systems have attracted much attention due to their powerful applications in modeling some physical systems such as mobile robots, 1 the flight control systems, 2 and so on. Switched systems consist of subsystems and a switching law by which these subsystems are activated in some time intervals. For switched systems, 3-12 the switching law has an important role in the performance analysis and synthesis, which results in that several classes of switching laws appear, such as Markov-dependent switching laws, 6,11,13 and dwell time-dependent switching laws. 3-5,7-10,12 By the former switching law, switchings among subsystems take place dependent on the transition probability; while, by the later switching law, switchings among these subsystems depend on the dwell time conditions. For switched systems with dwell time-dependent switching laws, the average dwell time (ADT) technique 3,4,8,9,14 and the mode-dependent average dwell time (MDADT) technique 12,15,16 are commonly used to study the stability analysis and controller design. In contrast with the former, much freedom can be provided to the conditions by the latter because each subsystem has its own ADT. On the other hand, since the system state may be immeasurable, much attention was paid to the study of the state estimation 17,18 and filter, such as the reliable filter, 19 dissipativity-based filter, 20 generalized  2 filter, 21 and so on. By applying measurable output vectors, the filter and state estimation were designed to guarantee that the estimation error satisfies some performances. 13,22-28 In particular, the  ∞ filter or  ∞ control has attracted much attention, 25,27-34 because the external disturbances are not required to satisfy some statistic constraints. However, in References 22,27-32, the data

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“…From (8) and (9), we know that R j ( ) + R T j ( ) > 0, which means R j ( ) is nonsingular. Then, (14) is equivalent to (15), which yields the following inequality with k ∈…”

Section:  ∞ Filter Designmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Quasi‐time‐dependent asynchronous filtering for discrete time switched systems via the event triggering mechanism

Zhao

Park

2020

Intl J Robust & Nonlinear

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“…Switched systems are a subcategory of hybrid systems, which contain a group of subsystems and a switching signal (Daafouz et al, 2002). Owing to the significant research value in theory development, switched systems have grabbed the attention of numerous scholars (Chen and Yang 2017; Cheng et al, 2019; Gao et al, 2018; Shen et al, 2019; Souza et al, 2018; Xu et al, 2021; Yu et al, 2018); meanwhile, switched system theory has been applied to various practical fields, such as aero-engine control systems (Zhao et al, 2019), direct current to direct current (DC–DC) converters (Pérez et al, 2021), and power electronics (Li et al, 2019a).…”

Section: Introductionmentioning

confidence: 99%

Finite-time H∞ control of discrete-time switched systems based on transferring-dependent Lyapunov function approach

Xue

Fei

2022

Transactions of the Institute of Measurement and Control

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This paper studies the finite-time issues (finite-time stability, finite-time boundedness, finite-time [Formula: see text] control) of discrete-time switched systems. Different from the existing Lyapunov function (LF) approaches only concerning activated subsystem, a novel approach for constructing LF is first proposed, which not only depends on the subsystem the switching reaches but also is closely related to the freshly inactive subsystem. Based on this, a transferring-dependent convex Lyapunov function (CLF) and a transferring-dependent LF are introduced, under which the improved finite-time stability results are deduced with admissible edge-dependent average dwell time (AED-ADT) technique. In light of the merits of established finite-time stability criteria, two transferring-dependent controllers are devised—that is, transferring-dependent convex controller (TD-CC) and transferring-dependent ordinary controller (TD-OC)—to perform finite-time control synthesis. Then, the finite-time [Formula: see text] control is further investigated based on the obtained control synthesis results. The designed transferring–dependent controllers can guarantee that the underlying system is finite-time bounded (FTB) with a prescribed [Formula: see text] performance under tighter AED-ADT switching signals. Besides, it is the first time to use the multiple convex Lyapunov function (MCLF) to investigate the finite-time issues. Finally, two numerical examples and a practical example are used to verify the effectiveness of the developed results.

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“…Note that time delay has attracted much attention in the theory analysis of switched systems due to its detrimental effects on system performance such as oscillation [24,[26][27][28][29][30] and stability [31][32][33][34][35][36]. Inspired by the work in [18,25], we will use a delay integral inequality technique and a method developed in positive systems [37,38] to study the problem of state estimation for a class of switched time-varying systems with time-varying delay and nonlinear disturbance.…”

Section: Introductionmentioning

confidence: 99%

State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality Method

Meng

Sun

2019

Discrete Dynamics in Nature and Society

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This paper focuses on the problem of state estimation for certain switched time-varying systems with time-varying delay and nonlinear disturbance. By using an integral inequality technique and a method used in positive systems, we have established several explicit criteria for state estimation of the system, which reduce to stability criteria for some particular cases. The involved nonlinear disturbance of the system takes more general form including both the internal disturbance and the external disturbance. Three numerical examples are also given to verify the validity of the obtained theoretical results.

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Robust Finite-time Extended Dissipative Control for a Class of Uncertain Switched Delay Systems

Cited by 14 publications

References 21 publications

Quasi‐time‐dependent asynchronous filtering for discrete time switched systems via the event triggering mechanism

Quasi‐time‐dependent asynchronous filtering for discrete time switched systems via the event triggering mechanism

Finite-time H∞ control of discrete-time switched systems based on transferring-dependent Lyapunov function approach

State Estimation for Switched Time-Varying Systems with Delay and Nonlinear Disturbance: An Integral Inequality Method

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