Izvorni znanstveni članak
Discrete-Time, Linear Periodic Time-Varying System Norm Estimation Using Finite Time Horizon Transfer Operators
Przemyslaw Orlowski
orcid.org/0000-0001-6407-9668
; Faculty of Electrical Engineering, University of Technology, Szczecin, Poland
Sažetak
The norm is one of the fundamental concepts of linear algebra and functional analysis. The notion of the norm is often employed in engineering, e.g. in control engineering, where main application is calculating the norm of the transfer function. Unfortunately existing methods are applicable for systems that can be described using Laplace transform, i.e. linear time-invariant (LTI) systems. An operational equivalent of the transfer function for linear timevarying systems is transfer operator. The transfer operator defined for finite time horizon can be described by finite dimensional matrix. Although for infinite time horizon the operator is infinite dimensional. In the paper a method for norm estimation of transfer operator defined on infinite time horizon is proposed. The method is applicable for linear time-varying, discrete-time systems given in general state-space form. The method takes advantage of the properties of the transfer operator norm on a finite time horizon. Theoretical considerations are complemented by numerical examples.
Ključne riječi
Norm estimation; Discrete-time systems; Time-varying systems; Non-stationary systems
Hrčak ID:
65055
URI
Datum izdavanja:
10.3.2011.
Posjeta: 2.532 *