Bode-like integral for stochastic switched systems in the presence of limited information

Dapeng Li; Naira Hovakimyan

doi:10.1016/j.automatica.2012.09.001

Bode-like integral for stochastic switched systems in the presence of limited information

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Abstract

In this paper, we establish a Bode sensitivity integral formula for a class of feedback closed-loop systems with stochastic switched plants and controllers. Using information theory, we study the information conservation law, based on which a log integral theorem is obtained for the closed loops of interest. Furthermore we develop several algebraic conditions to explicitly capture the performance limitations. Application of this theoretical framework to Networked Control Systems (NCS) is used as an illustrative example.

Original language	English (US)
Pages (from-to)	1-8
Number of pages	8
Journal	Automatica
Volume	49
Issue number	1
DOIs	https://doi.org/10.1016/j.automatica.2012.09.001
State	Published - Jan 2013

Keywords

Networked control systems
Performance limits

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

Online availability

10.1016/j.automatica.2012.09.001

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abstract = "In this paper, we establish a Bode sensitivity integral formula for a class of feedback closed-loop systems with stochastic switched plants and controllers. Using information theory, we study the information conservation law, based on which a log integral theorem is obtained for the closed loops of interest. Furthermore we develop several algebraic conditions to explicitly capture the performance limitations. Application of this theoretical framework to Networked Control Systems (NCS) is used as an illustrative example.",

keywords = "Networked control systems, Performance limits",

author = "Dapeng Li and Naira Hovakimyan",

note = "Research is supported by AFOSR under Grant FA9550-09-1-0265 . The material in this paper was presented at the American Control Conference (ACC2011), June 29–July 1, 2011, San Francisco, California, USA. This paper was recommended for publication in revised form under the direction of Editor Ber{\c c} R{\"u}stem.",

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N2 - In this paper, we establish a Bode sensitivity integral formula for a class of feedback closed-loop systems with stochastic switched plants and controllers. Using information theory, we study the information conservation law, based on which a log integral theorem is obtained for the closed loops of interest. Furthermore we develop several algebraic conditions to explicitly capture the performance limitations. Application of this theoretical framework to Networked Control Systems (NCS) is used as an illustrative example.

AB - In this paper, we establish a Bode sensitivity integral formula for a class of feedback closed-loop systems with stochastic switched plants and controllers. Using information theory, we study the information conservation law, based on which a log integral theorem is obtained for the closed loops of interest. Furthermore we develop several algebraic conditions to explicitly capture the performance limitations. Application of this theoretical framework to Networked Control Systems (NCS) is used as an illustrative example.

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KW - Performance limits

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Bode-like integral for stochastic switched systems in the presence of limited information

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