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On the Computation of the Induced L2 Norm of Single Input Linear Systems with Saturation

Romanchuk B. G.

1994
Technical Report: CUED/F-INFENG/TR.184, Accepted by the IEEE T-AC. presented at 1994 CDC

Abstract

In this paper, a means of determining an upper bound of the induced L_2 norm for a class of single input linear systems with saturation is given in terms of the existence of a candidate function which satisfies three differential inequalities. This amounts to a generalisation of finding the solution of a single algebraic Riccati equation in the linear problem. A technique to calculate such a function for systems with linear controllers is also developed. A worked first order example is then presented. The operator norm is tightly bounded by the use of a piecewise smooth candidate function which is quadratic within a certain region and cubic outside.

Pre-Prints

[PS]

BibTex Entry

@TechReport{,: author = {Romanchuk B. G.},; institution = {Department of Engineering, University of Cambridge},; title = {On the Computation of the Induced L2 Norm of Single Input Linear Systems with Saturation },; year = {1994},; note = {CUED/F-INFENG/TR.184, Accepted by the IEEE T-AC. presented at 1994 CDC}
}



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