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A pole-assignment algorithm for linear state feedback. (English) Zbl 0592.93024

Summary: A new algorithm for the pole-assignment problem of a controllable time- invariant linear multivariable system with linear state feedback is presented. The resulting feedback matrix is a least-squares solution and is robust in a loose sense. The method is based on the controllability canonical (staircase) form and amounts to a new proof for the existence of a solution of the pole-assignment problem. Illustrative examples are given.

MSC:

93B55 Pole and zero placement problems
93B40 Computational methods in systems theory (MSC2010)
93C05 Linear systems in control theory
93B05 Controllability
93B10 Canonical structure
93B35 Sensitivity (robustness)
93C35 Multivariable systems, multidimensional control systems
93D15 Stabilization of systems by feedback
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References:

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