Counterexamples to pole placement by static output feedback

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چکیده

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Counterexamples to pole placement by static output feedback

We consider linear systems with inner state of dimension n, with m inputs and p outputs, such that n = mp, min{m,p} = 2 and max{m, p} is even. We show that for each (m,n, p) satisfying these conditions, there is a non-empty open subset U of such systems, where the real pole placement map is not surjective. It follows that for systems in U , there exist open sets of pole configurations which can...

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Pole Placement by Static Output Feedback for Generic Linear Systems

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In this paper, we have presented a simple method in order to solve the pole placement problem of linear output feedback systems with state space models. Pole placement is a control method assigned to arbitrary closed loop poles by state or output feedback. In linear systems, poles have influence on stability, system response, transient response, and band width. Pole placement methods are used i...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2002

ISSN: 0024-3795

DOI: 10.1016/s0024-3795(01)00443-8