Shifted-Jacobi series analysis of linear optimal control systems incorporating observers. (English) Zbl 0585.93027

Lee, Tsu-Tian; Tsay, Shuh-Chuan; Horng, Ing-Rong

J. Franklin Inst. 321, 289-298 (1986).

Summary: This paper uses the Jacobi series to analyze linear optimal control systems incorporating observers. The method simplifies the system of equations into the successive solution of a set of linear algebraic equations. An illustrative example is included to demonstrate that only a small number \((m=6)\) of shifted-Jacobi series are needed to obtain an accurate solution.

MSC:

93C05	Linear systems in control theory
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.)
93C99	Model systems in control theory

Keywords:

Jacobi series; linear optimal control systems; observers

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