robust observer-based feedback control for lipschitz singularly perturbed systems

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ID: 211041
2015
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Abstract
The observer-based feedback control for singularly perturbed systems (SPSs) with Lipschitz constraint is addressed. A sufficient condition, independent of the perturbation parameter, for a full-order observer is presented in terms of linear matrix inequality (LMI) such that observation error is exponentially stable for all sufficiently small perturbation parameters. Then, for observer-based feedback control, a proper controller is constructed to guarantee the input-to-state stability of the system with regard to the observation error. Considering the convergence of observation error, the stability of the system can be obtained based on the input-to-state stability property. It is shown that the proposed method is simple and easy to operate. Moreover, the upper bound of the small perturbation parameter for stability of systems can be explicitly estimated with a workable computation way. Finally, two numerical examples show the effectiveness of the proposed method.
Reference Key
wang2015mathematicalrobust Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Yanyan Wang;Wei Liu
Journal journal of power sources
Year 2015
DOI
10.1155/2015/585301
URL
http://dx.doi.org/10.1155/2015/585301
Keywords
civil engineering (general)mathematics engineering (general)

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