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Application of shifted Chebyshev series to the optimal control of linear distributed-parameter systems. (English) Zbl 0566.93028
By use of a particular property of the shifted Chebyshev series, the optimal control of a distributed-parameter system is simplified into the optimal control of a linear time-invariant lumped-parameter system. Next, a directly computational formulation for evaluating the optimal control and trajectory of a linear distributed-parameter system is developed. The formulation is straightforward, and convenient for digital computation. An illustrative example is given to demonstrate the applicability of the proposed method.

MSC:
93C20 Control/observation systems governed by partial differential equations
42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
44A45 Classical operational calculus
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
35K05 Heat equation
93B40 Computational methods in systems theory (MSC2010)
93C05 Linear systems in control theory
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