Paper Info
Title
Output Strictly Passive \({{\varvec{H}}_\infty }\) Control of Discrete-Time Linear Switched Singular Systems Via Proportional Plus Derivative State Feedback.
Abstract
This work aims to study the problem of output strictly passive $$H_\infty $$ control for discrete-time linear switched singular systems. By using multiple storage functions and iteration technique, some sufficient conditions are obtained based on output strict passivity and proportional plus derivative state feedback, which can guarantee that the closed-loop systems are normal and stable and satisfy a given $$H_\infty $$ performance. Proportional plus derivative state feedback sub-controllers with explicit expressions are designed. Proportional plus derivative state feedback can not only eliminate impulse phenomena, but also eliminate state jumps caused by incompatible initial conditions of subsystems at switching instants. A numerical example is given to verify the applicability of the results.
Year
DOI
Venue
2020
10.1007/s00034-020-01353-6
Circuits, Systems, and Signal Processing
Keywords
DocType
Volume
Discrete-time switched singular systems, control, Output strict passivity, Proportional plus derivative state feedback
Journal
39
Issue
ISSN
Citations 
8
0278-081X
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Zairui Gao100.34
Ziyun Wang200.34
Zhicheng Ji3347.59
Yunlong Liu400.34