An LMI based scheduling algorithm for constrained stabilization problems

We propose a gain-scheduling control algorithm for locally stabilizing a discrete-time linear system with input saturation. The proposed control law has a structure that a high-gain control law and a low-gain control law are interpolated by using a single scheduling parameter. The scheduling paramet...

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Bibliographic Details
Published inSystems & control letters Vol. 57; no. 3; pp. 255 - 261
Main Authors Wada, N., Saeki, M.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 01.03.2008
Elsevier
Subjects
Applied sciences
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control theory. Systems
Discrete-time
Exact sciences and technology
Gain-scheduling
LMIs
Local stabilization
Saturation
LMIs
Local stabilization
Discrete-time
Gain-scheduling
Saturation
Stabilization
Control program
Linear time
Scheduling
Input saturation
Gain scheduling
Convex programming
Control constraint
Linear system
Discrete time
High gain control
Linear matrix inequality
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ISSN0167-6911
1872-7956
DOI10.1016/j.sysconle.2007.09.006

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Summary:We propose a gain-scheduling control algorithm for locally stabilizing a discrete-time linear system with input saturation. The proposed control law has a structure that a high-gain control law and a low-gain control law are interpolated by using a single scheduling parameter. The scheduling parameter is computed on-line by solving a convex optimization problem with LMI constraints.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2007.09.006