Robustness Analysis of Uncertain and Nonlinear Systems

摘要: Control design is often done based on simplified models. After it necessary to verify that the real closed loop system behaves well. This mostly by experiments and simulations. Theoretical analysis an important complement this can help critical cases. Structural information about uncertainties, time-variations, nonlinearities, signals be described integral quadratic constraints. The provided these constraints used reduce conservatism in of robust stability performance. thesis treats several aspects method for robustness analysis. It shown how Popov criterion combination with other A new systems slowly time-varying polytopic uncertainty obtained as a result this. corresponding parametric also derived. practice problem finding most appropriate constraint. formulated convex but infinite-dimensional optimization problem. introduces flexible format computations over finite-dimensional subspaces. restricted generally terms linear matrix inequalities. Duality theory obtain bounds computational conservatism. class problems identified which dual particularly attractive. (Less)