Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems with actuator-side dropouts

Matt Rich; Nicola Elia

doi:10.1109/MED.2014.6961468

Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems with actuator-side dropouts

Matt Rich, Nicola Elia

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

4 Scopus citations

Abstract

In this paper we investigate synthesis of linear control producing mean-square stability of a multiple-input multiple-output (MIMO) discrete time linear system having communication channels in the loop on the actuation side. We consider a quite general plant and assume the communication channels are subject to dropout with known probabilities. We provide numerically tractable methods to design mean-square stabilizing controllers for such scenarios and analyze the limitations as a function of channel variances. The main result of the paper is to show that the design of state feedback and output feedback with delayed channel state information available at the controller are convex problems by providing equivalent linear matrix inequality (LMI) feasibility problems.

Original language	English (US)
Title of host publication	2014 22nd Mediterranean Conference on Control and Automation, MED 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	779-784
Number of pages	6
ISBN (Electronic)	9781479959006
DOIs	https://doi.org/10.1109/MED.2014.6961468
State	Published - Nov 18 2014
Externally published	Yes
Event	22nd Mediterranean Conference on Control and Automation, MED 2014 - Palermo, Italy Duration: Jun 16 2014 → Jun 19 2014

Publication series

Name	2014 22nd Mediterranean Conference on Control and Automation, MED 2014

Other

Other	22nd Mediterranean Conference on Control and Automation, MED 2014
Country/Territory	Italy
City	Palermo
Period	6/16/14 → 6/19/14

Bibliographical note

Publisher Copyright:
© 2014 IEEE.

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10.1109/MED.2014.6961468

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Rich, M., & Elia, N. (2014). Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems with actuator-side dropouts. In 2014 22nd Mediterranean Conference on Control and Automation, MED 2014 (pp. 779-784). Article 6961468 (2014 22nd Mediterranean Conference on Control and Automation, MED 2014). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/MED.2014.6961468

Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems with actuator-side dropouts. / Rich, Matt; Elia, Nicola.
2014 22nd Mediterranean Conference on Control and Automation, MED 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 779-784 6961468 (2014 22nd Mediterranean Conference on Control and Automation, MED 2014).

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

Rich, M & Elia, N 2014, Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems with actuator-side dropouts. in 2014 22nd Mediterranean Conference on Control and Automation, MED 2014., 6961468, 2014 22nd Mediterranean Conference on Control and Automation, MED 2014, Institute of Electrical and Electronics Engineers Inc., pp. 779-784, 22nd Mediterranean Conference on Control and Automation, MED 2014, Palermo, Italy, 6/16/14. https://doi.org/10.1109/MED.2014.6961468

Rich M, Elia N. Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems with actuator-side dropouts. In 2014 22nd Mediterranean Conference on Control and Automation, MED 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 779-784. 6961468. (2014 22nd Mediterranean Conference on Control and Automation, MED 2014). doi: 10.1109/MED.2014.6961468

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AB - In this paper we investigate synthesis of linear control producing mean-square stability of a multiple-input multiple-output (MIMO) discrete time linear system having communication channels in the loop on the actuation side. We consider a quite general plant and assume the communication channels are subject to dropout with known probabilities. We provide numerically tractable methods to design mean-square stabilizing controllers for such scenarios and analyze the limitations as a function of channel variances. The main result of the paper is to show that the design of state feedback and output feedback with delayed channel state information available at the controller are convex problems by providing equivalent linear matrix inequality (LMI) feasibility problems.

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Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems with actuator-side dropouts

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