Extended Dissipative Control for Singularly Perturbed PDT Switched Systems and its Application

In this paper, a class of discrete-time singularly perturbed switched systems \left ({\text {SPSSs}}\right) with persistent dwell-time \left ({\text {PDT}}\right) switching law is firstly proposed. Using the slow-state feedback control method, sufficient conditions to ensure the global uniform e...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2020-12, Vol.67 (12), p.5281-5289
Main Authors: Wang, Jing, Huang, Zhengguo, Wu, Zhengguang, Cao, Jinde, Shen, Hao
Format: Article
Language:English
Subjects:
Attenuation
Control methods
Control stability
Convexity
Decoupling method
Discrete time systems
extended dissipativity
Feedback control
Integrated circuit modeling
Manipulators
Optimization
persistent dwell-time
Perturbation methods
Singular perturbation
Singularly perturbed systems
slow state feedback control
State feedback
Switched systems
Switches
Tunnel diodes
Upper bounds
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Summary:In this paper, a class of discrete-time singularly perturbed switched systems \left ({\text {SPSSs}}\right) with persistent dwell-time \left ({\text {PDT}}\right) switching law is firstly proposed. Using the slow-state feedback control method, sufficient conditions to ensure the global uniform exponential stability of the closed-loop PDT SPSSs are derived. Based on the aforementioned conditions, the analyses of the extended dissipative performance of the closed-loop PDT SPSSs and a preferable decoupling method deriving the mode-dependent controller gains are given for the first time. Finally, the potential practicability of the method is verified by a purely numerical example and a tunnel diode circuit model, and a convex optimization method calculating the upper bound of the singular perturbation parameter is provided.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2020.3022729