Event‐triggered state‐dependent switching rule design for switched linear systems

Li, Dandan; Zuo, Zhiqiang; Wang, Yijing

doi:10.1002/rnc.4373

Cited by 12 publications

(14 citation statements)

References 33 publications

(108 reference statements)

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“…- (29) can guarantee that all the system states in the resulting closed-loop system asymptotically converge to the origin under arbitrary switchings.…”

Section: Theoremmentioning

confidence: 99%

“…where a i,1 , … , a i,i and b 1 , … , b n are some constants related to parameter c. Then, according to the two cases discussed in (25)- (29), the proof will be presented. Case 1: There exists no triggering instant in consecutive switching interval [t ′ p , t ′ p+1 ), shown in Figure 1(i).…”

Section: Theoremmentioning

confidence: 99%

“…Theorem 2. Consider the switched strict-feedback nonlinear system (1) with the subsystem controllers (25), (27) and the switched update laws of subsystems (26), (28)- (29) and the event-triggered mechanism (20)- (24), and suppose that Assumptions 1 and 2 are satisfied, then for any compact set D containing the origin, the inter-event time is lower bounded by a strict positive constant t j min .…”

Section: Exclusion Of Zeno Phenomenon Of Samplingmentioning

confidence: 99%

“…Recently, some studies on ETC for switched linear systems have appeared. [25][26][27][28][29] However, for switched nonlinear systems, the ETC problems have been rarely investigated. Particularly, no constructive design method for ETC of switched nonlinear systems has been reported, which is a more challenging and significant problem.…”

Section: Introductionmentioning

confidence: 99%

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Dwell‐time‐based event‐triggered adaptive control for switched strict‐feedback nonlinear systems

Wang

Long

2020

Intl J Robust & Nonlinear

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This article presents a novel event-triggered adaptive control approach to solve the stabilization problem of a class of switched strict-feedback nonlinear systems with parameter uncertainties. The proposed approach achieves that subsystem controllers and switched update laws of subsystems are both event-triggered under a dwell-time. Also, the proposed approach effectively handles the asynchronous switching between the candidate controllers of subsystems and subsystems when the switching occurs in consecutive triggering interval. By exploiting the backstepping technique and the common Lyapunov function method, the subsystem controllers and the switched update laws of subsystems and their event-triggered mechanism are designed to guarantee asymptotic stability of the switched closed-loop systems. Also, compared with the existing literature on event-triggered control of switched systems, the ISS assumption with respect to the measurement error is removed in this article. The existence of strict positive lower bound on inter-event time is proved to exclude Zeno phenomenon of sampling, which is an undesirable behavior in practical systems. Finally, a numerical example and a mass-spring-damper system are provided to demonstrate the effectiveness of the proposed approach.

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“…- (29) can guarantee that all the system states in the resulting closed-loop system asymptotically converge to the origin under arbitrary switchings.…”

Section: Theoremmentioning

confidence: 99%

Section: Theoremmentioning

confidence: 99%

Section: Exclusion Of Zeno Phenomenon Of Samplingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dwell‐time‐based event‐triggered adaptive control for switched strict‐feedback nonlinear systems

Wang

Long

2020

Intl J Robust & Nonlinear

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“…To make resultant closed‐loop systems FTB, corresponding controller is usually designed to match with each subsystem. However, when sampled‐data controllers are used for switched systems, the active switched subsystem and the matched sampled‐data controller may produce mismatched, resulting in inconsistency between the plant mode and the controller mode . This kind of mode mismatching, which is an important subject in the research field of switched systems, will produce complex state trajectories and increase complexity of FTB analysis.…”

Section: Introductionmentioning

confidence: 99%

Finite‐time boundedness of switched systems with time‐varying delays via sampled‐data control

Lin

Zhang

Yang

et al. 2020

Intl J Robust & Nonlinear

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In the framework of sampled-data control, finite-time boundedness (FTB) of switched systems with time-varying delays is investigated. Sufficient conditions for FTB of switched systems with time-varying delays via sampled-data control are proposed. Moreover, considering the relationship between the sampling period and the mode-dependent average dwell time, switching signals are designed. In addition, finite-time weighted L 2 -gain (FTW-L 2 -gain) of switched systems with time-varying delays is proposed to measure their disturbance tolerance capacity within a finite-time interval. Multiple Lyapunov-Krasovskii functionals are applied to complete subsequent proofs in detail. Simulation results are exemplified to verify the proposed method. K E Y W O R D S finite-time boundedness, multiple Lyapunov-Krasovskii functionals, sampled-data control, switched systems1 Int J Robust Nonlinear Control. 2020;30:2953-2976. wileyonlinelibrary.com/journal/rnc © 2020 John Wiley & Sons, Ltd. 2953 2954 LIN et al.dynamics, time-varying delays, and exogenous disturbances in switched systems, research on FTB of switched systems with time-varying delays is not a trivial work. With the development of digital technologies and computers, sampled-data controllers are widely used in practice because of advantages of not resulting in degradation of the closed-loop performance and saving the data transmission amount. 21 Based on previous researches, FTB of switched systems with time-varying delays from sampled-data control perspective is to be further investigated to meet the requirements of practical applications. To make resultant closed-loop systems FTB, corresponding controller is usually designed to match with each subsystem. However, when sampled-data controllers are used for switched systems, the active switched subsystem and the matched sampled-data controller may produce mismatched, resulting in inconsistency between the plant mode and the controller mode. 22 This kind of mode mismatching, which is an important subject in the research field of switched systems, 23-27 will produce complex state trajectories and increase complexity of FTB analysis. Therefore, in this note, to implement FTB of switched system with time-varying delays via sampled-data control, it is necessary to conduct in-depth study on the issue about asynchronous switching caused by sampled-data control.It is well known that switching signals have an important impact on FTB of switched systems. [28][29][30] At present, average dwell time (ADT) method is mostly used in the researches of switched systems. [31][32][33][34] The minimum of admissible ADT is determined by two parameters unrelated to the mode. 35,36 In ADT method, switching signals occur during the running time of subsystems, and the design of common parameters is conservative to some extent. The mode-dependent ADT (MDADT) method discussed in References 37 and 38-40 combines switching conditions with certain control gains related constraints to avoid the conservatism of the ADT method. Therefore, in this articl...

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Synthesis andL₂‐gain analysis for switched systems under event‐triggered switching

Zuo

et al. 2021

Asian Journal of Control

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In this paper, we solve the stabilization problem of linear switched systems subject to external disturbances via an event‐based state‐dependent switching strategy. The proposed event‐triggered switching rule can relax the conditions which guarantee the stability of switched systems so as to attain more feasible solutions than the previous work. As a result, a better bound of L2 gain performance of the system is obtained over the set of admissible disturbances. The elimination of Zeno behavior for state‐dependent switched system is also proven. Finally, numerical simulations illustrate the validity of the proposed theoretical results.

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Event‐triggered state‐dependent switching rule design for switched linear systems

Cited by 12 publications

References 33 publications

Dwell‐time‐based event‐triggered adaptive control for switched strict‐feedback nonlinear systems

Dwell‐time‐based event‐triggered adaptive control for switched strict‐feedback nonlinear systems

Finite‐time boundedness of switched systems with time‐varying delays via sampled‐data control

Synthesis andL₂‐gain analysis for switched systems under event‐triggered switching

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Event‐triggered state‐dependent switching rule design for switched linear systems

Cited by 12 publications

References 33 publications

Dwell‐time‐based event‐triggered adaptive control for switched strict‐feedback nonlinear systems

Dwell‐time‐based event‐triggered adaptive control for switched strict‐feedback nonlinear systems

Finite‐time boundedness of switched systems with time‐varying delays via sampled‐data control

Synthesis andL2‐gain analysis for switched systems under event‐triggered switching

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Synthesis andL₂‐gain analysis for switched systems under event‐triggered switching