Title :
Model reduction by moment matching for nonlinear systems
Author :
Astolfi, Alessandro
Author_Institution :
Dept. of Electr. & Electron. Eng., Imperial Coll. London, London, UK
Abstract :
The problem of model reduction by moment matching for nonlinear systems is addressed and solved using the recently introduced notion of moment for nonlinear systems. It is shown that reduced order models can be parameterized by a free mapping which, in turn, can be used so that the model possesses specific properties, e.g. it has an asymptotically stable equilibrium or given relative degree, it is minimum phase, it is passive. In addition, a nonlinear enhancement of the notion of Markov parameters is provided. The theory is illustrated by means of simple examples.
Keywords :
Markov processes; asymptotic stability; nonlinear control systems; reduced order systems; Markov parameters; asymptotically stable equilibrium; model reduction; moment matching; nonlinear enhancement; nonlinear systems; Approximation error; Equations; Helium; Integrated circuit modeling; Nonlinear control systems; Nonlinear systems; Predictive models; Reduced order systems; Signal mapping; Weather forecasting;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4738791
