Journal article
Decentralized control of discrete‐time linear time invariant systems with input saturation
International journal of robust and nonlinear control, Vol.20(12), pp.1353-1362
08/2010
Handle:
https://hdl.handle.net/2376/109675
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.
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Details
- Title
- Decentralized control of discrete‐time linear time invariant systems with input saturation
- Creators
- Ciprian DeliuBabak MalekSandip RoyAli SaberiAnton A Stoorvogel
- Publication Details
- International journal of robust and nonlinear control, Vol.20(12), pp.1353-1362
- Academic Unit
- Electrical Engineering and Computer Science, School of
- Publisher
- John Wiley & Sons, Ltd; Chichester, UK
- Number of pages
- 10
- Grant note
- National Aeronautics and Space Administration (NNA06CN26A) Office of Naval Research (ONR KKK777SB001; ONR KKK760SB0012) National Science Foundation (ECS‐0528882; ECCS 0725589)
- Identifiers
- 99900547681401842
- Language
- English
- Resource Type
- Journal article