New alternative convex conditions on exponential stability and stabilisation of switched positive linear systems with dwell time

Li, Yang; Zhang, Hongbin; Xiang, Weiming

doi:10.1049/iet-cta.2018.5271

Cited by 4 publications

(1 citation statement)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Remark 5: The clock-dependent conditions in Theorem 2 can also be relaxed into computable ones by using the discretisation approach, see [3], [18], [34]- [36] for details. It's omitted here for brevity.…”

Section: Sos Formulationmentioning

confidence: 99%

Non-Weighted $L_2$ -Gain Control for Asynchronously Switched Linear Systems With Detectable Switching Instants and Ranged Mode-Identifying Time

Bao

Sun

et al. 2019

IEEE Access

Self Cite

View full text Add to dashboard Cite

In this paper, the non-weighted L 2 -gain control problem is addressed for a class of asynchronously switched linear systems, where the asynchronous phenomenon is caused by the mode-identifying process. Unlike the literature concerned with asynchronously switched systems, we construct a new class of clock-dependent Lyapunov function (CDLF), which can be permitted or prohibited to increase when the modes of the controller and system are unmatched. Furthermore, a novel controller design strategy is introduced. The asynchronous and synchronous controllers are designed separately, and are both clock-dependent. By using the CDLF approach, a clock-dependent sufficient condition characterizing the non-weighted L 2 -gain performance is obtained for the asynchronously switched systems. The controller gains can be computed by solving a set of sum of square (SOS) program. At last, the advantages of the results are illustrated within two examples.INDEX TERMS Clock-dependent Lyapunov function, non-weighted L 2 -gain, asynchronous control, switched systems, sum of square program.

show abstract

Section: Sos Formulationmentioning

confidence: 99%

Non-Weighted $L_2$ -Gain Control for Asynchronously Switched Linear Systems With Detectable Switching Instants and Ranged Mode-Identifying Time

Bao

Sun

et al. 2019

IEEE Access

Self Cite

View full text Add to dashboard Cite

show abstract

Event-triggered Output-feedback Control for Networked Switched Positive Systems with Asynchronous Switching

Liu

Yang

et al. 2021

Int. J. Control Autom. Syst.

View full text Add to dashboard Cite

Stability and controller design of switched systems with sequence-based average dwell time

Zheng

Zhang

et al. 2020

International Journal of Control

Self Cite

View full text Add to dashboard Cite

This note investigates the stability of both linear and nonlinear switched systems with average dwell time. Two new analysis methods are proposed. Different from existing approaches, the proposed methods take into account the sequence in which the subsystems are switched. Depending on the predecessor or successor subsystems to be considered, sequence-based average preceding dwell time (SBAPDT) and sequence-based average subsequence dwell time (SBASDT) approaches are proposed and discussed for both continuous and discrete time systems. These proposed methods, when considering the switch sequence, have the potential to further reduce the conservativeness of the existing approaches. A comparative numerical example is also given to demonstrate the advantages of the proposed approaches. Index Terms-Sequence-based average dwell time, sequencebased average subsequence dwell time, sequence-based average preceding dwell time, stability, switched systems.

show abstract

New alternative convex conditions on exponential stability and stabilisation of switched positive linear systems with dwell time

Cited by 4 publications

References 40 publications

Non-Weighted $L_2$ -Gain Control for Asynchronously Switched Linear Systems With Detectable Switching Instants and Ranged Mode-Identifying Time

Non-Weighted $L_2$ -Gain Control for Asynchronously Switched Linear Systems With Detectable Switching Instants and Ranged Mode-Identifying Time

Event-triggered Output-feedback Control for Networked Switched Positive Systems with Asynchronous Switching

Stability and controller design of switched systems with sequence-based average dwell time

Contact Info

Product

Resources

About