Robust sampling‐based switching design for piecewise affine systems with application to DC–DC converters

Wang, Tao; Liu, Yuwen; Wang, Xijun; Li, Jikun

doi:10.1049/iet-cta.2018.5611

Cited by 10 publications

(4 citation statements)

References 34 publications

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“…Such methods are based on the Lyapunov‐Krasovskii framework to ensure the dissipative property of the closed‐loop systems. Sampling rate selection in network control systems has been studied in [9] while a study for systems with piecewise affine components is presented in [10]. A study on the influence of the sampling rate which also emphasizes the disadvantages of increasing the sampling frequency is found in [11].…”

Section: Introductionmentioning

confidence: 99%

Sampling rate selection for multi‐loop cascade control systems in an optimal manner

Şuşcă

Mihaly

Dobra

2023

IET Control Theory & Appl

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This article proposes an optimization‐based approach to selecting the sampling periods for classes of linear time‐invariant (LTI) regulators in a cascaded multi‐rate control structure, to account for practical implementation on numeric systems. Starting from the Shannon‐Nyquist sampling theorem, which proposes the minimum required sampling frequency for completely recovering the original analog signal from its discrete samples, the scope of the sampling process, viewed from a control perspective, is to ensure asymptotic stability of the closed‐loop system, with the smallest possible degradation of the initially‐proposed performance indices as possible according to a set of well‐picked criteria. As such, a configurable optimization‐based approach is proposed, solved with the mixed‐integer artificial bee colony (MI‐ABC) algorithm, for selecting the sampling periods by specifying the emphasis between closed‐loop fidelity and ease of implementation, with an intuitive visualization method. The proposed solution is illustrated on two case studies, with emphasis on the construction of the proposed functionals and their practical implications.

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Section: Introductionmentioning

confidence: 99%

Sampling rate selection for multi‐loop cascade control systems in an optimal manner

Şuşcă

Mihaly

Dobra

2023

IET Control Theory & Appl

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“…In this paper, we focus on projection-value-based switching strategy on single-phase H6 inverter. Control law based on projection-value-based switching strategy has been successfully applied on some converters in [10], [11], [23], [35], [36]. However, some of these papers applied the control law on analog control framework, others avoid putting forward the issues of the control law being applied on digital control framework.…”

Section: Introductionmentioning

confidence: 99%

“…However, some of these papers applied the control law on analog control framework, others avoid putting forward the issues of the control law being applied on digital control framework. To apply the control law on digital-controlled converter, recent theories introduce two methods named time-trigger control (TTC) [23], [24], [37]- [42] and event-trigger control (ETC) [30], [43]- [46]. Wherein, controller operates periodically in TTC, while merely operates when switching conditions are satisfied in ETC.…”

Section: Introductionmentioning

confidence: 99%

Synthetic Velocity Vectors Control Law Based on Projection-Value-Based Strategy for H6 Inverter

et al. 2021

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Min-projection switching law, a related control method of switched linear systems model, is famous for its outstanding dynamic performance. However, under digital control framework, H6 inverter directly employing it performs unsatisfactorily. To improve the performance, a new control law based on projection-value-based switching strategy named synthetic velocity vectors control law (SVVCL) is proposed in this paper. Compared with min-projection switching law, SVVCL could be effectively applied on digitalcontrolled H6 inverter under the framework of pulse width modulation (PWM) technique. Firstly, fitness function of SVVCL considering static and dynamic performances is established. Secondly, control law is simplified to improve its accessibility. Further, a common approach to design compensator for improving output robustness is discussed. Finally, experiments on a 400W prototype are carried out. Results show that H6 inverter employing SVVCL has preferable static performance, strong robustness, as well as excellent dynamic response characteristics.

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“…The authors in [25–29] give the relevant concepts of the asymptotic stability of the switching system, and a new stability criterion and necessary and sufficient conditions are obtained. Inspired by these documents, the switching system theory is used to design a stabilising switching controller for DC/DC converters and solved the problem of the excessive switching frequency of the controller by setting the dwell time constraint [30, 31]. Advanced stabilisation and control strategies of switched systems are developed such as

H_{\infty}

control [32, 33], event‐triggered control [34] etc.…”

Section: Introductionmentioning

confidence: 99%

Switching stabilising control of VSC‐HVDC transmission systems

Wang

Xiang

Liu

2020

IET Control Theory & Appl

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Robust sampling‐based switching design for piecewise affine systems with application to DC–DC converters

Cited by 10 publications

References 34 publications

Sampling rate selection for multi‐loop cascade control systems in an optimal manner

Sampling rate selection for multi‐loop cascade control systems in an optimal manner

Synthetic Velocity Vectors Control Law Based on Projection-Value-Based Strategy for H6 Inverter

Switching stabilising control of VSC‐HVDC transmission systems

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