Open AccessPosted Content
Affine LPV systems: realization theory, input-output equations and relationship with linear switched systems
TLDR
A Kalman-style realization theory for discrete-time affine LPV systems is formulated and it is shown that an input-output map has a realization by an affineLPV system if and only if it satisfies certain types of input- output equations.Abstract:
We formulate a Kalman-style realization theory for discrete-time affine LPV systems. By an affine LPV system we mean an LPV system whose matrices are affine functions of the scheduling parameter. In this paper we characterize those input-output behaviors which exactly correspond to affine LPV systems. In addition, we characterize minimal affine LPV systems which realize a given input-output behavior. Furthermore, we explain the relationship between Markov-parameters, Hankel-matrices, existence of an affine LPV realization and minimality. The results are derived by reducing the problem to the realization problem for linear switched systems. In this way, as a secondary contribution, we formally demonstrate the close relationship between LPV systems and linear switched systems. In addition we show that an input-output map has a realization by an affine LPV system if and only if it satisfies certain types of input-output equations.read more
Citations
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Ieee transactions on control systems technology
Francis J. Doyle,A. Bazanella,S. Devasia,R. Erwin,I. Fialho,V. G Opal,United Technologies,Dimitry Gorinevsky,Honeywell Tech,Guoxiao Guo,K. Hunt,A. Isaksson,A. Kelkar,Seung Kwan Kim,C. Knospe,I. Kolmanovksy,K. Kozlowski,C. C. Lee,Jun Han Lee,Georgia Tech,Maria Letizia Corradini,R. Moheimani,P. M Osterman,S. Palanki,S. Peresada,D. Prattichizzo,C. Rabbath,R. Rajamani,D. W. Repperger,Wright Patterson Afb,Daniel E. Rivera,G. Rosen,S. Saab,J. Sarangapani,K. Schlacher,D. A. Schoenwald,A. Stefanopoulou,Greg Stewart,F. S Varicek,K.J. Turner,L. Villani,S. Weibel,Z. Wang,G. Yen +43 more
Journal ArticleDOI
Towards efficient maximum likelihood estimation of LPV-SS models
TL;DR: In this paper, a modular LPV-SS identification approach was proposed to identify multiple-input multiple-output (MIMO) linear parameter-varying (LPV) discrete-time state-space (SS) models with affine dependence on the scheduling variable.
Posted Content
Realization theory of discrete-time linear switched systems
TL;DR: In this paper, the authors present necessary and sufficient conditions for an input-output map to admit a discrete-time linear switched state-space realization, which are formulated as finite rank conditions of a generalized Hankel-matrix.
Journal ArticleDOI
Realization theory of discrete-time linear switched systems
TL;DR: The paper uses the theory of rational formal power series in non-commutative variables to prove that minimal realizations are unique up to isomorphism.
References
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Identification of linear parameter varying models
Bassam Bamieh,Laura Giarre +1 more
TL;DR: In this article, the identification of a class of discrete-time nonlinear systems known as linear parameter varying systems (LPSS) is considered, and the identification problem can be reduced to a linear regression, and compact formulae for the corresponding least mean square and recursive least square algorithms are provided.
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