Data-driven optimal switching and control of switched systems

Zhang, Chi; Gan, Minggang; Xue, Chenchen

doi:10.1007/s11768-021-00054-y

Cited by 2 publications

(3 citation statements)

References 30 publications

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“…Definition 1. For any initial conditions and constants k > 0 and λ > 0, system ( 9) is said to be globally exponentially stable under some switching signals σ(t), if the solution of system (9) satisfies…”

Section: Remarkmentioning

confidence: 99%

“…is section aims at the stability criterion for uncertain systems (9) with the adhibition of the average dwell-time switching approach and a controllerpattern-dependent Lyapunov functional.…”

Section: Stability Analysismentioning

confidence: 99%

“…For the sake of stabilizing the switched systems that incorporate bounded additional perturbations, a quasi-timevarying Lyapunov function is constructed in [8]. And to guarantee the exponential stabilization of switched systems in the presence of slow and fast switching restricted to unstable and stable subsystems severally, a multiple discontinuous Lyapunov functional technique is proposed in [9].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Stabilization of Uncertain Switched Systems with Frequent Asynchronism via Event‐Triggered Dynamic Output‐Feedback Control

Zhang

Xing

2022

Discrete Dynamics in Nature and Society

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This article investigates stabilization for a group of uncertain switched systems with frequent asynchronism. Without the limitation of minimum residence time, the average dwell-time strategy makes it possible for switched systems with uncertain parameters to switch frequently over successive event intervals. Since it is highbrow and expensive to obtain the whole state information in practice, the dynamic output-feedback controller is applied. With the aid of a controller-pattern-related Lyapunov functional and an event-triggered dynamic output-feedback controller, sufficient conditions are established to ensure the stability of the resulting uncertain closed-loop system. To appropriately deal with the uncertain parameters, some inequalities of the linear matrix are tactfully utilized together with the Lyapunov functional and controller gains are constructed by the strategy of the block matrix. Furthermore, the presence of the lower boundary on adjacent event intervals is earnestly discussed to eliminate the Zeno behavior. Eventually, the feasibility and availability of the theoretical results are illuminated by a numerical simulation.

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Section: Remarkmentioning

confidence: 99%

Section: Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stabilization of Uncertain Switched Systems with Frequent Asynchronism via Event‐Triggered Dynamic Output‐Feedback Control

Zhang

Xing

2022

Discrete Dynamics in Nature and Society

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A new switching time optimization technique for multi-switching systems

Zhu¹,

Yu²,

Teo³

2023

JIMO

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<p style='text-indent:20px;'>For a multi-switching system, it consists of multiple parallel switching systems. The optimal control problem controlled by a multi-switching system is to determine the optimal time sequence for each of the parallel switching systems. The time-scaling transformation is a well-known switching time optimization approach which has been widely used in various problem settings. However, the time-scaling transformation requires that these parallel switching systems have the same number of subsystems and are designed to switch simultaneously. Thus, it is not applicable for solving optimal control problems of general multi-switching systems. This paper presents a new technique for optimizing the switching times of multi-switching systems.</p>

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Data-driven optimal switching and control of switched systems

Cited by 2 publications

References 30 publications

Stabilization of Uncertain Switched Systems with Frequent Asynchronism via Event‐Triggered Dynamic Output‐Feedback Control

Stabilization of Uncertain Switched Systems with Frequent Asynchronism via Event‐Triggered Dynamic Output‐Feedback Control

A new switching time optimization technique for multi-switching systems

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