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A frequency domain condition for stability of interconnected MIMO systems

Gattami, Ather (author)
Lund University,Lunds universitet,Institutionen för reglerteknik,Institutioner vid LTH,Lunds Tekniska Högskola,Department of Automatic Control,Departments at LTH,Faculty of Engineering, LTH
Murray, R (author)
 (creator_code:org_t)
2004
2004
English.
In: Proceedings of the 2004 American Control Conference. - 0780383354 ; , s. 3723-3728
  • Conference paper (peer-reviewed)
Abstract Subject headings
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  • Analysis of interconnected dynamical systems is considered. A framework for the analysis of stability of the interconnection is given. The results of Fax and Murray that studies the SISO-case for a constant interconnection matrix are generalized to the MIMO-case where arbitrary interconnection is allowed. The analysis shows the existence of a separation principle that is very useful in the sense of the simplicity for stability analysis. Stability could be checked graphically using a Nyquist-like criterion. The problem with time-delays and interconnection variation and robustness appear to be natural special cases of the general framework, and hence, simple stability criteria are derived easily

Subject headings

TEKNIK OCH TEKNOLOGIER  -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
ENGINEERING AND TECHNOLOGY  -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)

Keyword

interconnection matrix
SISO system
interconnected dynamical system analysis
interconnected MIMO systems
frequency domain analysis
stability criteria
time delays
robustness
graph theory
stability analysis
Nyquist like criterion

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