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Design of High-Gain Reduced-Order Observers for Nonlinear Sampled-Data Strict-Feedback Systems with Model Uncertainty

Design of high-gain reduced-order observers is considered for the nonlinear sampled-data strict-feedback system with model uncertainty. First high-gain reduced-order observers are designed by introducing a small positive parameter to the reduced-order observers designed for the sampled-data strict-feedback system without model uncertainty. Then it is shown that there exists a small positive parameter such that the designed observers are semiglobal and practical in sampling period for the exact model of the sampled-data strict-feedback system with model uncertainty. A numerical example is given to show the efficiency of the designed observers.