Singular Arcs in Optimal Control of Continuous-Time Bimodal Switched Linear Systems

This paper considers a singular problem in optimal control of continuous-time bimodal switched linear systems. A relaxed switched system with a continuous-valued switching signal is considered and the representations of singular control and singular arcs are derived. The similarity in the structure...

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Bibliographic Details
Published inIEEE transactions on automatic control Vol. 64; no. 2; pp. 826 - 833
Main Authors Hara, Naoyuki, Konishi, Keiji
Format Journal Article
LanguageEnglish
Published New York IEEE 01.02.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Computer simulation
Control systems
Linear systems
Mathematical model
Optimal control
singular arcs
switched linear systems
Switched systems
Switches
Switching
Trajectory
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Summary:This paper considers a singular problem in optimal control of continuous-time bimodal switched linear systems. A relaxed switched system with a continuous-valued switching signal is considered and the representations of singular control and singular arcs are derived. The similarity in the structure between the singular control and a stabilizing switching law is revealed and an approximation of the singular control by a well-defined switching signal is addressed. The results are demonstrated by numerical simulations.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2018.2836020