Imperfect Information Learning Team Seminar (Talk by Yu Shao, Nanjing University of Science and Technology).

Speaker: Yu Shao (Nanjing University of Science and Technology)

Title: Analysis and control of nonlinear systems with various uncertainties

Abstract: Almost all practical engineering systems can be characterized by nonlinear systems, in which stochastic noises, time delay and many other uncertainties are usually inevitable. So it is of great practical significance to study the stability of nonlinear systems with various uncertainties, such as unknown control coefficients, unmeasured states, external disturbances and time delays. The global stability results are extended to the field of continuous control by combining the dominate gain method with the homogeneous domination approach. And a dynamic gain method is adopted to relax the traditional restricted assumptions for the controlled system. On the other hand, compared with stability or asymptotic stability, finite-time stability has been proven to demonstrate faster convergence, higher accuracy, stronger robustness to uncertainties. Therefore, the finite-time stability of uncertain nonlinear systems, especially for the stochastic uncertain nonlinear systems, is further discussed. Among them, a new adaptive fast finite time continuous control scheme is proposed.