Orthogonal functions approach to optimal control of delay systems with reverse time terms. (English) Zbl 1202.49004
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.
MSC:
| 49J15 | Existence theories for optimal control problems involving ordinary differential equations |
| 34H05 | Control problems involving ordinary differential equations |
Keywords:
block-pulse functions (BPFs); shifted Legendre polynomials (SLPs); optimal control law; linear algebraic equationsReferences:
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