On constrained stabilization of discrete-time linear systems

Nikolaos Athanasopoulos; Alina I. Doban; Mircea Lazar

doi:10.1109/MED.2013.6608819

On constrained stabilization of discrete-time linear systems

Nikolaos Athanasopoulos, Alina I. Doban, Mircea Lazar

School of Electronics, Electrical Engineering and Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

8 Citations (Scopus)

288 Downloads (Pure)

Abstract

The concepts of controlled (k, λ)-contractive sets and set-induced finite-time control Lyapunov functions are introduced in this paper. These tools are then employed to derive new synthesis methods for constrained stabilization of linear systems. Two classes of state-feedback control strategies are proposed, namely, periodic conewise linear control laws and periodic vertex-interpolation control laws. The benefits of these synthesis methods are demonstrated for the constrained stabilization of a DC-DC buck converter.

Original language	English
Title of host publication	21st Mediterranean Conference on Control & Automation
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	831-839
ISBN (Electronic)	978-1-4799-0997-1
DOIs	https://doi.org/10.1109/MED.2013.6608819
Publication status	Published - 26 Sept 2013

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On constrained stabilization of discrete-time linear systems
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AB - The concepts of controlled (k, λ)-contractive sets and set-induced finite-time control Lyapunov functions are introduced in this paper. These tools are then employed to derive new synthesis methods for constrained stabilization of linear systems. Two classes of state-feedback control strategies are proposed, namely, periodic conewise linear control laws and periodic vertex-interpolation control laws. The benefits of these synthesis methods are demonstrated for the constrained stabilization of a DC-DC buck converter.

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M3 - Conference contribution

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BT - 21st Mediterranean Conference on Control & Automation

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On constrained stabilization of discrete-time linear systems

Abstract

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