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On the similarity state transformation for Linear Parameter-Varying systems

Balazs Kulcsar (Institutionen för signaler och system, Reglerteknik) ; R. Toth
IFAC Proceedings Volumes. 18th IFAC World Congress, Milano, 28 August - 2 September 2011 (1474-6670). Vol. 18 (2011), p. 4155-4160.
[Konferensbidrag, refereegranskat]

Similarity state transformations between equivalent State-Space (SS) representations of discrete-time Linear Parameter-Varying (LPV) systems are investigated. Based on previous results, it is known that to characterize all equivalent LPV-SS representations, the state-transformation matrix must depend dynamically on the scheduling variable. However, preserving static dependence of a LPV-SS representation, i.e. characterizing all equivalent SS representation with static dependence, has primary importance both in control and identification. Therefore, first, the state transformation problem is investigated from an algebraic (behavior) point of view, then conditions are developed to guarantee preservation of the static dependence in similarity state transformations. Additional geometric interpretation of the obtained results, together with computational approach to synthesize state-transformations are also developed. An illustrative example is provided to demonstrate the validity of the obtained results.

Nyckelord: Linear parameter-varying systems, Similarity state transformation



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Denna post skapades 2011-11-14. Senast ändrad 2012-11-06.
CPL Pubid: 148489

 

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Institutioner (Chalmers)

Institutionen för signaler och system, Reglerteknik

Ämnesområden

Transport
Reglerteknik

Chalmers infrastruktur