Robust observer design for sampled-data Lipschitz nonlinear systems with exact and Euler approximate models
✍ Scribed by Masoud Abbaszadeh; Horacio J. Marquez
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 231 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0005-1098
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✦ Synopsis
An LMI approach is proposed for the design of robust H ∞ observers for a class of Lipschitz nonlinear systems. Two type of systems are considered, Lipschitz nonlinear discrete-time systems and Lipschitz nonlinear sampled-data systems with Euler approximate discrete-time models. Observer convergence when the exact discrete-time model of the system is available is shown. Then, practical convergence of the proposed observer is proved using the Euler approximate discrete-time model. As an additional feature, maximizing the admissible Lipschitz constant, the solution of the proposed LMI optimization problem guaranties robustness against some nonlinear uncertainties. The robust H ∞ observer synthesis problem is solved for both cases. The maximum disturbance attenuation level is achieved through LMI optimization.