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Global Stabilization for a Class of Coupled Nonlinear Systems with Application to Active Surge Control

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Author

Summary, in English

We propose here a new procedure for output feedback design for systems with nonlinearities satisfying quadratic constraints. It provides an alternative for the classical observer-based design and relies on transformation of the closed-loop system with a dynamic controller of particular structure into a special block form. We present two sets of sufficient conditions for stability of the transformed block system and derive matching conditions allowing such a representation for a particular challenging example. The two new tests for global stability proposed for a class of nonlinear systems extend the famous Circle criterion applied for infinite sector quadratic constraints. The study is motivated and illustrated by the problem of output feedback control design for the well-known finite dimensional nonlinear model qualitatively describing surge instabilities in compressors. Assuming that the only available measurement is the pressure rise, we suggest a constructive procedure for synthesis of a family of robustly globally stabilizing feedback controllers. The solution relies on structural properties of the nonlinearity of the model describing a compressor characteristic, which includes earlier known static quadratic constraints and a newly found integral quadratic constraint. Performance of the closed-loop system is discussed and illustrated by simulations.

Publishing year

2010

Language

English

Pages

875-908

Publication/Series

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

Volume

17

Issue

6b

Document type

Journal article

Publisher

Watam Press

Topic

  • Control Engineering

Status

Published

Project

  • Active Control 2010-2012
  • Active Control 2007-2009
  • Stable Oscillations in Nonlinear Systems 2009-2010

Research group

  • LCCC

ISBN/ISSN/Other

  • ISSN: 1492-8760