Browsing by Subject "Time-varying"
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Item Open Access Finite time estimation for time-varying systems with delay in the measurements(Elsevier, 2019) Ahmed, Saeed; Malisoff, M.; Mazenc, F.We build finite time observers for time-varying nonlinear systems with delays in the outputs, using a dynamic extension that computes fundamental matrices. Our observers achieve finite time convergence when no disturbances are present. When disturbances are present, we provide approximate values for the solutions, which lead to an upper bound on the approximation error after a suitable finite time. We illustrate our work in a class of systems arising in the study of vibrating membranes, where time-varying coefficients can be used to represent intermittent measurements.Item Open Access Output feedback stabilization by reduced order finite time observers using a trajectory based approach(IEEE, 2019) Malisoff, M.; Mazenc, F.; Ahmed, SaeedWe use finite time reduced order continuous-discrete observers to solve an output feedback stabilization problem for a class of nonlinear time-varying systems whose outputs contain uncertainty. Unlike earlier works, our feedback is discontinuous, but it does not contain distributed control terms. Our trajectory based approach is based on a contractivity condition. We illustrate our control in the context of a tracking problem for nonholonomic systems in chained form.Item Open Access Reduced order finite time observers for time-varying nonlinear systems(Institute of Electrical and Electronics Engineers Inc., 2019) Mazenc, F.; Ahmed, Saeed; Malisoff, M.; Teel, A. R.; Egerstedt, M.We build reduced order finite time observers for a large class of nonlinear time-varying continuous-time systems. We illustrate our results using a tracking problem for nonholonomic systems in chained form.