A new representation of the parameters of lifted systems

Author

Mirkin, Leonid ; Palmor, Zalman J.

Author_Institution

Fac. of Mech. Eng., Technion-Israel Inst. of Technol., Haifa, Israel

Volume

44

Issue

4

fYear

1999

fDate

4/1/1999 12:00:00 AM

Firstpage

833

Lastpage

840

Abstract

Lifting, i.e., discretization with built-in intersample behavior, is an emerging technique for the analysis and design of sampled-data systems. The applicability of the lifting technique, however, is severely limited owing to difficulties in dealing with the parameters of the lifted systems, which are operators over infinite-dimensional spaces rather than finite-dimensional matrices. In this paper, a new representation for the parameters of the lifted systems is proposed. The technical machinery developed in the paper based on this representation simplifies considerably algebraic manipulation over parameters of the lifted systems, thus extending the scope of applicability of the lifting technique. To illustrate the advantages of the proposed approach, the computational issues in the sampled-data H^∞ problem are considered

Keywords

control system analysis; control system synthesis; multidimensional systems; sampled data systems; symbol manipulation; algebraic manipulation; built-in intersample behavior; discretization; infinite-dimensional spaces; lifted system parameters; sampled-data H^∞ problem; sampled-data system analysis; sampled-data system design; Automatic control; Control systems; Filtering; Nonlinear control systems; Nonlinear filters; Nonlinear systems; Optimal control; Perturbation methods; Sampling methods; Servomechanisms;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.754829

Filename

754829