Application of shifted Chebyshev series to the optimal control of linear distributed-parameter systems. (English) Zbl 0566.93028

Chou, Jyhhorng; Horng, Ingrong

Int. J. Control 42, 233-241 (1985).

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

Keywords:

shifted Chebyshev series; distributed-parameter system; digital computation

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