Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems over packet drop networks

Matt Rich; Nicola Elia

doi:10.1109/CDC.2014.7040466

Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems over packet drop networks

Matt Rich, Nicola Elia

Research output: Contribution to journal › Conference article › peer-review

4 Scopus citations

Abstract

In this paper, we investigate synthesis of linear mean-square stabilizing controllers for multiple-input multiple-output (MIMO) discrete time linear systems over packet drop networks. We consider independent packet drop channels on both the actuator and sensor side of the controller. The main result of this paper is to show that, assuming a delayed acknowledgment from the actuator receiver is available to the controller, a pair of LMI feasibility problems can be used to obtain the mean-square stabilizing controller given fixed channels as well as numerically derive the limitations of mean-square stabilizability in terms of maximal dropout probabilities.

Original language	English (US)
Article number	7040466
Pages (from-to)	6857-6862
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
Volume	2015-February
Issue number	February
DOIs	https://doi.org/10.1109/CDC.2014.7040466
State	Published - Jan 1 2014
Externally published	Yes
Event	2014 53rd IEEE Annual Conference on Decision and Control, CDC 2014 - Los Angeles, United States Duration: Dec 15 2014 → Dec 17 2014

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10.1109/CDC.2014.7040466

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title = "Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems over packet drop networks",

abstract = "In this paper, we investigate synthesis of linear mean-square stabilizing controllers for multiple-input multiple-output (MIMO) discrete time linear systems over packet drop networks. We consider independent packet drop channels on both the actuator and sensor side of the controller. The main result of this paper is to show that, assuming a delayed acknowledgment from the actuator receiver is available to the controller, a pair of LMI feasibility problems can be used to obtain the mean-square stabilizing controller given fixed channels as well as numerically derive the limitations of mean-square stabilizability in terms of maximal dropout probabilities.",

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AU - Elia, Nicola

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N2 - In this paper, we investigate synthesis of linear mean-square stabilizing controllers for multiple-input multiple-output (MIMO) discrete time linear systems over packet drop networks. We consider independent packet drop channels on both the actuator and sensor side of the controller. The main result of this paper is to show that, assuming a delayed acknowledgment from the actuator receiver is available to the controller, a pair of LMI feasibility problems can be used to obtain the mean-square stabilizing controller given fixed channels as well as numerically derive the limitations of mean-square stabilizability in terms of maximal dropout probabilities.

AB - In this paper, we investigate synthesis of linear mean-square stabilizing controllers for multiple-input multiple-output (MIMO) discrete time linear systems over packet drop networks. We consider independent packet drop channels on both the actuator and sensor side of the controller. The main result of this paper is to show that, assuming a delayed acknowledgment from the actuator receiver is available to the controller, a pair of LMI feasibility problems can be used to obtain the mean-square stabilizing controller given fixed channels as well as numerically derive the limitations of mean-square stabilizability in terms of maximal dropout probabilities.

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Convex synthesis and limitations of mean-square stabilizing controllers for MIMO systems over packet drop networks

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