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