On the similarity state transformation for Linear Parameter-Varying systems
Paper in proceedings, 2011

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.

Linear parameter-varying systems

Similarity state transformation


Balázs Adam Kulcsár

Chalmers, Signals and Systems, Systems and control, Automatic Control

R. Toth

Delft University of Technology

IFAC Proceedings Volumes (IFAC-PapersOnline)

14746670 (ISSN)

Vol. 18 PART 1 4155-4160

Areas of Advance


Subject Categories

Control Engineering





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