μ-analysis and synthesis of state feedback systems based on multipliers and LMI's

This paper provides a μ analysis and synthesis method of state feedback systems. First, we derive a sufficient condition for the dynamical system to have μ less than a specified value γ by using parameter-dependent multipliers and the positive real lemma. It requires no higher order multiplier and n...

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Bibliographic Details
Published inProceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207) Vol. 1; pp. 537 - 541 vol.1
Main Authors Gan Chen, Sugie, T.
Format Conference Proceeding
LanguageEnglish
Published IEEE 1998
Subjects
Closed loop systems
Equations
Frequency
Helium
State feedback
State-space methods
System testing
Transfer functions
Uncertainty
Upper bound
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Summary:This paper provides a μ analysis and synthesis method of state feedback systems. First, we derive a sufficient condition for the dynamical system to have μ less than a specified value γ by using parameter-dependent multipliers and the positive real lemma. It requires no higher order multiplier and no frequency sweep while being less conservative than former methods. Second, based on this result, we give an LMI condition for the existence of a state feedback gain which achieves that μ of the closed loop system is less than given γ. Finally, an illustrative numerical example is given.
ISBN:0780345304
9780780345300
ISSN:0743-1619
2378-5861
DOI:10.1109/ACC.1998.694726