On pole placement LMI constraints in control design for linear discrete-time systems

The paper addresses the problem of constrained pole placement control for discrete-time linear systems. Sufficient conditions for feasibility are outlined in terms of linear matrix inequalities for a D-stable circular region in the complex ś plain. In addition, in the case of state-space control, i...

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Bibliographic Details
Published in2013 International Conference on Process Control (PC) pp. 69 - 74
Main Authors Krokavec, D., Filasova, A.
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2013
Subjects
Control design
discrete-time linear systems
Eigenvalues and eigenfunctions
Linear matrix inequalities
Linear systems
Lyapunov function
Lyapunov methods
pole constraint region
polytopic uncertainties
state control
Symmetric matrices
Uncertainty
Ɗ-stability region
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ISBN9781479909261
1479909262
DOI10.1109/PC.2013.6581385

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Summary:The paper addresses the problem of constrained pole placement control for discrete-time linear systems. Sufficient conditions for feasibility are outlined in terms of linear matrix inequalities for a D-stable circular region in the complex ś plain. In addition, in the case of state-space control, it is proven that by this way formulated pole placement problem is equivalently uttered using an quadratic integral state constraint, being added to Lyapunov function. Finally, the proposed principle is expanded for systems with polytopic uncertainties.
ISBN:9781479909261
1479909262
DOI:10.1109/PC.2013.6581385