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Observer analysis and synthesis for perturbed Lipschitz systems under noisy time-varying measurements. (English) Zbl 1429.93219

Summary: In this paper the observer synthesis problem is studied for nonlinear Lipschitz systems with noisy time-varying sampling and bounded state perturbations. To establish criteria for robust convergence of the observer, we model the impact of sampling by a reset integrator operator. First, generic conditions for the input-to-state stability of a sampled-data system are presented. Second, it is shown how to derive a tractable numerical criterion for the synthesis of a sampled-data Luenberger observer. Then, new conditions for robustness analysis of a known observation gain are given.

MSC:

93C57 Sampled-data control/observation systems
93D25 Input-output approaches in control theory
93B35 Sensitivity (robustness)
93C10 Nonlinear systems in control theory
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