Feedback vector L2-gain for switched non-linear systems

In this paper, we investigate the preservation of vector L 2 -gain property of nonlinear switched systems. The nominal switched system has not vector L 2 -gain property, which the primary control objectives do not be obtained by the primary controllers. By using feedback control, we design the robus...

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Bibliographic Details
Published in2020 Chinese Control And Decision Conference (CCDC) pp. 746 - 751
Main Authors Guo, Hai, Li, Chensong, Fu, Jun, Pang, Hongbo
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.08.2020
Subjects
feedback control
Robustness
small-gain theorem
Stability analysis
Switched nonlinear systems
Switched systems
Switches
Trajectory
Uncertainty
vector L 2 -gain
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Summary:In this paper, we investigate the preservation of vector L 2 -gain property of nonlinear switched systems. The nominal switched system has not vector L 2 -gain property, which the primary control objectives do not be obtained by the primary controllers. By using feedback control, we design the robust terms to make the systems has vector L 2 -gain property with the same storage functions as the nominal systems and guarantee the primary control objectives. For properties of interconnected systems, small-gain theorem is maintained for switched systems with uncertainties. Finally, two examples are provided to illustrate the effectiveness of the main results.
ISSN:1948-9447
DOI:10.1109/CCDC49329.2020.9164369