On system gains for linear and nonlinear systems

✍ Scribed by J.R. Partington; P.M. Mäkilä

• Book ID: 104300483
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 142 KB
• Volume: 46
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(02)00127-5

✦ Synopsis

System gains, and bounds for system gains, are determined for stable linear and nonlinear systems in di erent signal setups which include 'p signal setups and certain persistent signal generalizations of the '2 and '1 signal setups. These results show that robust H∞ and '1 control generalize to very versatile persistent signal settings. Relationships between di erent 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.