A fast time-optimal control synthesis algorithm for a class of linear systems

The paper deals with a new approach for synthesis of time-optimal control for a class of linear systems. It is based on the decomposition of the time-optimal control problem into a class of decreasing order problems, and the properties and relations between problems within this class. First, the pro...

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Published in2005 American Control Conference pp. 883 - 888 vol. 2
Main Authors Penev, B.G., Christov, N.D.
Format Conference Proceeding
LanguageEnglish
Published IEEE 2005
Subjects
Automatic control
Control system synthesis
Control systems
Helium
History
Linear systems
Optimal control
Performance analysis
State-space methods
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ISBN0780390989
9780780390980
9780780390997
0780390997
ISSN0743-1619
DOI10.1109/ACC.2005.1470071

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Abstract The paper deals with a new approach for synthesis of time-optimal control for a class of linear systems. It is based on the decomposition of the time-optimal control problem into a class of decreasing order problems, and the properties and relations between problems within this class. First, the problems' state-space properties are analyzed, and then the optimal control is obtained by using a multi-step procedure avoiding the switching hyper surface description. The emphasis in this paper is on the optimal control synthesis stage of the approach proposed. A property of the considered class of problems is studied which enables development of a fast algorithm for synthesis of time-optimal control without using the switching hyper surface.
AbstractList The paper deals with a new approach for synthesis of time-optimal control for a class of linear systems. It is based on the decomposition of the time-optimal control problem into a class of decreasing order problems, and the properties and relations between problems within this class. First, the problems' state-space properties are analyzed, and then the optimal control is obtained by using a multi-step procedure avoiding the switching hyper surface description. The emphasis in this paper is on the optimal control synthesis stage of the approach proposed. A property of the considered class of problems is studied which enables development of a fast algorithm for synthesis of time-optimal control without using the switching hyper surface.
Author Penev, B.G.
Christov, N.D.
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Snippet The paper deals with a new approach for synthesis of time-optimal control for a class of linear systems. It is based on the decomposition of the time-optimal...
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StartPage 883
SubjectTerms Automatic control
Control system synthesis
Control systems
Helium
History
Linear systems
Optimal control
Performance analysis
State-space methods
Title A fast time-optimal control synthesis algorithm for a class of linear systems
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