Singular perturbation method applied to the open-loop discrete optimal control problem with two small parameters

The open-loop optimal control of a linear, shift-invariant, singularly perturbed system with two small parameters is considered. The two small parameters are interrelated and approach zero simultaneously. The resulting two-point boundary value problem is put in the singularly perturbed form. A singu...

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Vydáno v:International journal of systems science Ročník 20; číslo 5; s. 793 - 809
Hlavní autor: KRISHNARAYALU, M. S.
Médium: Journal Article
Jazyk:angličtina
Vydáno: London Taylor & Francis Group 01.05.1989
Taylor & Francis
Témata:
Applied sciences
Computer science; control theory; systems
Control theory. Systems
Exact sciences and technology
Optimal control
Perturbation method
Two points boundary problem
Linear system
Optimal control
Singular perturbation
Open loop
Discrete system
ISSN:0020-7721, 1464-5319
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Abstract The open-loop optimal control of a linear, shift-invariant, singularly perturbed system with two small parameters is considered. The two small parameters are interrelated and approach zero simultaneously. The resulting two-point boundary value problem is put in the singularly perturbed form. A singular perturbation method is developed to obtain approximate solutions composed of an outer series, two initial correction series and two final correction series to recover the lost boundary conditions in the process of degeneration. An example is provided to illustrate the proposed method.
AbstractList The open-loop optimal control of a linear, shift-invariant, singularly perturbed system with two small parameters is considered. The two small parameters are interrelated and approach zero simultaneously. The resulting two-point boundary value problem is put in the singularly perturbed form. A singular perturbation method is developed to obtain approximate solutions composed of an outer series, two initial correction series and two final correction series to recover the lost boundary conditions in the process of degeneration. An example is provided to illustrate the proposed method.
Author KRISHNARAYALU, M. S.
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10.1080/00207178108922589
10.1016/0005-1098(76)90076-5
10.1216/RMJ-1976-6-4-561
10.1080/00207728708967181
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Issue 5
Keywords Perturbation method
Two points boundary problem
Linear system
Optimal control
Singular perturbation
Open loop
Discrete system
Language English
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References RAJAGOPALAN P. K. (CIT0012) 1980; 127
CIT0010
CIT0001
CIT0011
Kuo B. C. (CIT0004) 1981
NAIDU D. S. (CIT0008) 1980; 127
ROBERTS S. M. (CIT0014) 1972
KANDO H. (CIT0002) 1985; 132
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  doi: 10.1216/RMJ-1976-6-4-561
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  doi: 10.1080/00207728708967181
– ident: CIT0006
  doi: 10.1080/00207178108922967
– volume-title: Two-point Boundary Value Problems: Shooting Methods
  year: 1972
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– volume: 132
  start-page: 1
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  publication-title: Proc. Inst. elect, electron. Engrs
– volume: 127
  start-page: 194
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  publication-title: Proc. Inst. elect, electron. Engrs
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  doi: 10.1080/00207178008961081
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  start-page: 1
  year: 1980
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  publication-title: Proc. Inst. elect, electron. Engrs
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Snippet The open-loop optimal control of a linear, shift-invariant, singularly perturbed system with two small parameters is considered. The two small parameters are...
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SubjectTerms Applied sciences
Computer science; control theory; systems
Control theory. Systems
Exact sciences and technology
Optimal control
Title Singular perturbation method applied to the open-loop discrete optimal control problem with two small parameters
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