Weighted H∞ Control of Singularly Perturbed Switched Systems with Mode-dependent Average Dwell Time

In this paper, disturbance attenuation problem of singularly perturbed switched systems is investigated by using a mode-dependent average dwell time (MDADT) approach. By constructing a full-order piecewise Lyapunov function, which depends on the singular perturbation parameter, sufficient conditions...

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Bibliographic Details
Published in:International journal of control, automation, and systems 2019, Automation, and Systems, 17(10), , pp.2462-2473
Main Authors: Ma, Lei, Xu, Jing, Cai, Chenxiao
Format: Article
Language:English
Subjects:
Attenuation
Control
Control methods
Control systems design
Control Theory and Applications
Dwell time
Engineering
Feedback control
H-infinity control
Liapunov functions
Mechatronics
Parameters
Robotics
Singular perturbation
Stability analysis
State feedback
Subsystems
Time dependence
제어계측공학
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Summary:In this paper, disturbance attenuation problem of singularly perturbed switched systems is investigated by using a mode-dependent average dwell time (MDADT) approach. By constructing a full-order piecewise Lyapunov function, which depends on the singular perturbation parameter, sufficient conditions to guarantee the exponential stability and weighed H ∞ performance are obtained with different singular perturbation parameters and stability bounds of subsystems. Then, theoretical results on the analysis of stability and weighted H ∞ performance are derived for a special case that all subsystems have a unified singular perturbation parameter. Thirdly, state feedback controller design methods are proposed. Finally, two examples are given to demonstrate the validity and effectiveness of the proposed methods.
ISSN:1598-6446
2005-4092
DOI:10.1007/s12555-018-0661-1