Decentralized control of discrete-time linear time invariant systems with input saturation

Deliu, Ciprian and Malek, Babak and Roy, Sandip and Saberi, Ali and Stoorvogel, Anton A. (2010) Decentralized control of discrete-time linear time invariant systems with input saturation. International Journal of Robust and Nonlinear Control, 20 (12). pp. 1353-1362. ISSN 1049-8923

PDF
Restricted to UT campus only: Request a copy
103Kb

Abstract:	We study decentralized stabilization of discrete-time linear time invariant (LTI) systems subject to actuator saturation using LTI controllers. The requirement of stabilization under both saturation constraints and decentralization imposes obvious necessary conditions on the open-loop plant, namely that its eigenvalues are in the closed unit disc and further that the eigenvalues on the unit circle are not decentralized fixed modes. The key contribution of this work is to provide a broad sufficient condition for decentralized stabilization under saturation. Specifically, we show through an iterative argument that the stabilization is possible: whenever (1) the open-loop eigenvalues are in the closed unit disc; (2) the eigenvalues on the unit circle are not decentralized fixed modes; and (3) these eigenvalues on the unit circle have algebraic multiplicity of 1.
Item Type:	Article
Copyright:	© 2010 Wiley
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Mathematical Systems and Control Theory (MSCT)
Link to this item:	http://purl.utwente.nl/publications/72737
Official URL:	http://dx.doi.org/10.1002/rnc.1517
Export this item as:	BibTeX EndNote HTML Citation Reference Manager

Show download statistics for this publication

Repository Staff Only: item control page