Orthogonal functions approach to optimal control of delay systems with reverse time terms

Using block-pulse functions (BPFs)/shifted Legendre polynomials (SLPs) a unified approach for computing optimal control law of linear time-varying time-delay systems with reverse time terms and quadratic performance index is discussed in this paper. The governing delay-differential equations of dyna...

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Bibliographic Details
Published inJournal of the Franklin Institute Vol. 347; no. 9; pp. 1723 - 1739
Main Authors Mohan, B.M., Kumar Kar, Sanjeeb
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.11.2010
Elsevier
Subjects
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Optimal control
System theory
Differential equation
Control program
Delay control
Linear programming
Delay system
Dynamical system
Linear control
Delay equation
Legendre polynomial
Shifted polynomial
Time varying system
Block pulse function
Linear equation
Orthogonal function
Sequential method
Optimal control
Algebraic equation
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Summary:Using block-pulse functions (BPFs)/shifted Legendre polynomials (SLPs) a unified approach for computing optimal control law of linear time-varying time-delay systems with reverse time terms and quadratic performance index is discussed in this paper. The governing delay-differential equations of dynamical systems are converted into linear algebraic equations by using operational matrices of orthogonal functions (BPFs and SLPs). The problem of finding optimal control law is thus reduced to the problem of solving algebraic equations. One example is included to demonstrate the applicability of the proposed approach.
ISSN:0016-0032
1879-2693
DOI:10.1016/j.jfranklin.2010.08.005