Feedback decoupling-controller design of 3-D systems in state space

T.G. Pimenides and S.G. Tzafestas

Mathematics and Computers in Simulation (MATCOM), 1982, vol. 24, issue 4, 341-352

Abstract: This paper solves the input-output decoupling problem of three-dimensional (3-D) systems formulated in state-space representation. The control policy adopted is of the static state feedback type u=Kx+Nw where K, N are appropriate matrices to be determined, x is the system state vector, and w is the new input vector assumed equidimensional to the actual input vector u. The procedure derived determines K and N such that the resulting closed-loop system has a diagonal and nonsingular transfer-function matrix. The case, where only partial input-output decoupling is possible, is also considered, and the corresponding state-feedback matrices K and N are determined. The results are illustrated by simple numerical examples. The required 3-D generalization of the well known Cayley-Hamilton theorem is provided.

Date: 1982
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:24:y:1982:i:4:p:341-352

DOI: 10.1016/0378-4754(82)90079-9

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