A multiple convex Lyapunov function for asynchronous control of discrete-time switched systems

Cui, Jiahao; Wang, Ruihua; Fei, Shumin

doi:10.1177/01423312211026547

Cited by 8 publications

(2 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is planned so that the stability of the control system is guaranteed and converges to zero steady-state error. To generate the adaptation mechanism, different types of mathematical methods may be used like augmented error theory (Aydin and Gurleyen, 2018; Mirkin, 2005; Monopoli, 1974), Lyapunov theory (Cui et al, 2022), and MIT rule (Sethi et al, 2017). The adaptation mechanism developed in this research uses both the Lyapunov rule and the MIT rule.…”

Section: Components Of Model Reference Adaptive Controllermentioning

confidence: 99%

Effect of adaptation gain and reference model in MIT and Lyapunov rule–based model reference adaptive control for first- and second-order systems

Gupta,

Kumar,

Giri

2023

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

An adaptive control law encompasses a regulating control rule compensating for system dynamics variations by adjusting the controller characteristics to maintain the overall system performance. Recently, some techniques have been developed based on fundamental aspects of the adaptability of living organisms. The adaptive control method is a technique that measures the dynamic characteristics of the plant automatically and continuously to make a comparison with its required output. It utilizes the difference between these two to commute adaptable system parameters to maintain optimal performance regardless of the system variations. The behavior of the adaptation rule is significantly affected by the adaptation gain value. Here, it has also been investigated that the adaptation gain range is wide for the systems with the lower order. The appropriate range of adaptation gain decreases as the order of the system increases. In the present work, the model reference adaptive control (MRAC) for first- and second-order systems has been designed and investigated using a wide range of values for the adaptation gain and variations in the reference model parameters. The MIT (Massachusetts Institute of Technology) and Lyapunov rules are applied for the analyses of systems. On the MATLAB/Simulink platform, all the adaptation process comparisons, variations, and investigations have been carried out by altering the adaptation gain and the reference model parameters. The obtained results present encouraging outcomes.

show abstract

Section: Components Of Model Reference Adaptive Controllermentioning

confidence: 99%

Effect of adaptation gain and reference model in MIT and Lyapunov rule–based model reference adaptive control for first- and second-order systems

Gupta,

Kumar,

Giri

2023

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

show abstract

“…However, constructing a CLF applicable to all modes often poses practical challenges. Consequently, many researchers have turned to the multiple Lyapunov function (MLF) method under constrained switching conditions [7][8][9][10]. A notable strategy in this context is the average dwell time (ADT), developed initially for standard switching scenarios [11].…”

Section: Introductionmentioning

confidence: 99%

A bumpless transfer piecewise filtering approach for fault detection of switched linear systems

Liang,

Gao,

Yao

2024

Asian Journal of Control

View full text Add to dashboard Cite

This study focuses on bumpless transfer (BT) fault detection in switched linear systems operating under mode‐dependent average dwell time (MDADT) switching. We propose a piecewise fault detection filter (FDF) inspired by the segmentation concept inherent in the multiple discontinuous Lyapunov function (MDLF) approach. This filter generates a residual signal that effectively minimizes the amplitude of residual bumps, surpassing the performance of traditional non‐piecewise FDFs. We introduce a new definition of residual BT performance, aimed at reducing residual bump amplitude during filter transitions. The goal is to design the piecewise FDF such that the augmented system maintains asymptotic stability with weighted performance, while also meeting the residual BT performance criteria. The feasibility of achieving BT fault detection filtering is established through linear matrix inequalities (LMIs), leveraging the MDLF and MDADT strategies. The efficacy and benefits of the proposed BT piecewise FDF design are demonstrated through simulations on a boost converter.

show abstract

Asynchronous control of continuous‐time switched systems with all unstable modes under DoS attacks

Huang,

Du,

Zhang

et al. 2024

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

In this article, the asynchronous control problem of switched linear systems with all unstable modes under denial‐of‐service (DoS) attacks is studied. First, the upper bound of the sampling period, which can be easily calculated based on the scenario where all modes are unstable, is obtained under a periodic sampling control strategy. Second, by constructing an appropriate discrete multiple linear quadratic Lyapunov function, an asynchronous control scheme in the form of linear matrix inequalities is devised. To ensure the stability of switched systems under DoS attacks, a sufficient condition for the total duration and frequency of DoS attacks is established. It is shown that the switched system can tolerate DoS attacks up to a certain limit while maintaining exponential stability, and this result is applicable even when all subsystems are unstable. Finally, numerical examples and a comparative study are presented to demonstrate the effectiveness of the proposed method.

show abstract

A multiple convex Lyapunov function for asynchronous control of discrete-time switched systems

Cited by 8 publications

References 33 publications

Effect of adaptation gain and reference model in MIT and Lyapunov rule–based model reference adaptive control for first- and second-order systems

Effect of adaptation gain and reference model in MIT and Lyapunov rule–based model reference adaptive control for first- and second-order systems

A bumpless transfer piecewise filtering approach for fault detection of switched linear systems

Asynchronous control of continuous‐time switched systems with all unstable modes under DoS attacks

Contact Info

Product

Resources

About