An analysis of the effect of parameter perturbations on the stability of input-output linearizing controllers for a class of MIMO discrete-time nonlinear systems is presented. A static-state feedback is designed to input-output linearize a system without perturbations, and it is applied to the same
On trajectory-dependent direct adaptive control for a class of uncertain linear discrete-time systems
✍ Scribed by Chi-Cheng Cheng; Simon Hsu-Sheng Fu
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 144 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0890-6327
- DOI
- 10.1002/acs.1081
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✦ Synopsis
Abstract
In this paper, we develop a direct adaptive control framework for a class of linear discrete‐time uncertain multi‐input–multi‐output (MIMO) systems with exogenous bounded disturbances. The proposed adaptive controller guarantees adaptive stabilization, while the controller does not require the knowledge of system uncertainties. In addition, the framework is Lyapunov based with trajectory‐dependent hypothesis and the adaptive laws can be characterized by Kronecker calculus. Two numerical examples are provided to demonstrate the efficacy of the framework. Copyright © 2008 John Wiley & Sons, Ltd.
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