A polyhedral approach to the stability analysis and feedback stabilization of networked control systems

N. Athanasopoulos; G. Bitsoris; L. Dritsas

doi:10.1109/MED.2011.5983214

A polyhedral approach to the stability analysis and feedback stabilization of networked control systems

N. Athanasopoulos, G. Bitsoris, L. Dritsas

Control Systems

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

Abstract

In this note, the stability analysis and control design of Networked Control Systems (NCS) with bounded transmission delays, constant and unknown or time varying, is investigated using polyhedral Lyapunov functions. First, conditions guaranteeing stability are formulated for the equivalent augmented discrete-time system with structured uncertainties. Then, algebraic conditions leading to the computation of a linear state feedback controller for a NCS with bounded time varying delays are established. Both the stability analysis and synthesis problem are reduced to linear programming methods, a welcome consequence stemming from the choice of polyhedral Lyapunov functions.

Original language	English
Title of host publication	Proceedings of the 19th Mediterranean Conference on Control and Automation (MED), 20-23 june 2011, Corfu, Greece
Publisher	Institute of Electrical and Electronics Engineers
Pages	1008-1013
DOIs	https://doi.org/10.1109/MED.2011.5983214
Publication status	Published - 2011

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10.1109/MED.2011.5983214

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Athanasopoulos, N., Bitsoris, G., & Dritsas, L. (2011). A polyhedral approach to the stability analysis and feedback stabilization of networked control systems. In Proceedings of the 19th Mediterranean Conference on Control and Automation (MED), 20-23 june 2011, Corfu, Greece (pp. 1008-1013). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/MED.2011.5983214

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Athanasopoulos, N, Bitsoris, G & Dritsas, L 2011, A polyhedral approach to the stability analysis and feedback stabilization of networked control systems. in Proceedings of the 19th Mediterranean Conference on Control and Automation (MED), 20-23 june 2011, Corfu, Greece. Institute of Electrical and Electronics Engineers, pp. 1008-1013. https://doi.org/10.1109/MED.2011.5983214

A polyhedral approach to the stability analysis and feedback stabilization of networked control systems. / Athanasopoulos, N.; Bitsoris, G.; Dritsas, L.
Proceedings of the 19th Mediterranean Conference on Control and Automation (MED), 20-23 june 2011, Corfu, Greece. Institute of Electrical and Electronics Engineers, 2011. p. 1008-1013.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - In this note, the stability analysis and control design of Networked Control Systems (NCS) with bounded transmission delays, constant and unknown or time varying, is investigated using polyhedral Lyapunov functions. First, conditions guaranteeing stability are formulated for the equivalent augmented discrete-time system with structured uncertainties. Then, algebraic conditions leading to the computation of a linear state feedback controller for a NCS with bounded time varying delays are established. Both the stability analysis and synthesis problem are reduced to linear programming methods, a welcome consequence stemming from the choice of polyhedral Lyapunov functions.

AB - In this note, the stability analysis and control design of Networked Control Systems (NCS) with bounded transmission delays, constant and unknown or time varying, is investigated using polyhedral Lyapunov functions. First, conditions guaranteeing stability are formulated for the equivalent augmented discrete-time system with structured uncertainties. Then, algebraic conditions leading to the computation of a linear state feedback controller for a NCS with bounded time varying delays are established. Both the stability analysis and synthesis problem are reduced to linear programming methods, a welcome consequence stemming from the choice of polyhedral Lyapunov functions.

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BT - Proceedings of the 19th Mediterranean Conference on Control and Automation (MED), 20-23 june 2011, Corfu, Greece

PB - Institute of Electrical and Electronics Engineers

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A polyhedral approach to the stability analysis and feedback stabilization of networked control systems

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