Achievable sensitivity bounds for MIMO control systems via an information theoretic approach

This paper deals with an MIMO feedback control system that has two channels with additive noises and studies the effects of the noises on the input and output signals of the plant. We derive achievable bounds of integral type for sensitivity-like properties of the system based on an information theo...

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Bibliographic Details
Published in:Systems & control letters 2011-02, Vol.60 (2), p.111-118
Main Authors: Ishii, Hideaki, Okano, Kunihisa, Hara, Shinji
Format: Article
Language:English
Subjects:
Additives
Applied sciences
Bode’s integral formula
Channels
Computer science
control theory
systems
Control system analysis
Control systems
Control systems analysis
Control theory
Control theory. Systems
Entropy
Exact sciences and technology
Feedback
Information theory
Integrals
Noise
Nonlinearity
Sensitivity properties
System theory
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Summary:This paper deals with an MIMO feedback control system that has two channels with additive noises and studies the effects of the noises on the input and output signals of the plant. We derive achievable bounds of integral type for sensitivity-like properties of the system based on an information theoretic approach. These bounds are generalizations of Bode’s integral formula for the case that the feedback system includes nonlinear elements.
ISSN:0167-6911
1872-7956
DOI:10.1016/j.sysconle.2010.10.014