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An Algorithm for the Computation of Optimal Control Gains for Second Order Matrix Equations

✍ Scribed by M.K. Kwak; L. Meirovitch

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
332 KB
Volume
166
Category
Article
ISSN
0022-460X

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✦ Synopsis

In control of structures, the problem is ordinarily formulated in terms of second order matrix differential equations. In general, for an (n)-degree-of-freedom structure, design of a linear quadratic regulator requires the solution of a (2 n \times 2 n) matrix Ricatti equation. In the case of second order matrix equations, this involves the computation of an (n \times n) submatrix of the Riccati matrix not required for feedback. In this paper an algorithm for the computation of steady state control gains is developed in which only the submatrices required for feedback are computed.

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