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Robust pole assignment in linear state feedback. (English) Zbl 0567.93036

Linear time-invariant multivariable continuous-time and discrete-time systems are considered. The aim of the paper is to develop methods for finding a feedback matrix such that the poles of the closed-loop system are as insensitive to perturbations in the coefficient matrices of the system equations as possible. A solution of this problem is said to be robust. Since the sensivity of the eigenvalues depends on the conditioning of the eigenproblem, measures of optimal conditioning are defined. Four novel numerical methods are derived for optimizing these measures. It is shown that minimizing sensivity ensures desirable properties of the closed-loop system. The results for two test problems are given.
Reviewer: R.Tracht

MSC:

93B55 Pole and zero placement problems
93B35 Sensitivity (robustness)
93C05 Linear systems in control theory
93C35 Multivariable systems, multidimensional control systems
93B40 Computational methods in systems theory (MSC2010)
93C55 Discrete-time control/observation systems
93C99 Model systems in control theory

Software:

Matlab; LINPACK; EISPACK
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Full Text: DOI

References:

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