Decentralized control of discrete‐time linear time invariant systems with input saturation
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. Copyright © 2009 John Wiley & Sons, Ltd.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jun 28, 2010
- Source ID
- 10.1002/rnc.1517
Entities
People
- Ali Saberi
- Anton A. Stoorvogel
- Babak Malek
- Ciprian Deliu
- Sandip Roy
Organizations
- National Aeronautics and Space Administration
- National Science Foundation
- Office of Naval Research