On system gains for linear and nonlinear systems

摘要

System gains, and bounds for system gains, are determined for stable linear and nonlinear systems in different signal setups which include L-p signal setups and certain persistent signal generalizations of the 42 and L-p signal setups. These results show that robust H-infinity and L-1 control generalize to very versatile persistent signal settings. Relationships between different system gains are also derived. Finally, an application of nonlinear system gain bounds is given by establishing induced modelling error bounds for a class of (generalized) piecewise linear systems approximated with simpler linear time-invariant models. (C) 2002 Elsevier Science B.V. All rights reserved. [References: 15]