Robust Stability of Control Systems with One Form of Uncertain Parameters

摘要

By using Lyapunov stability method and linear matrix inequalities and through establishing proper Lyapunov function, the paper studies uncertain parameter time-delay Lurie control systems with structured parameter perturbations and norm bound parameter perturbations, and thus obtains delay-dependent sufficient conditions for robust absolute stability of the systems. The research shows: When parameter is uncertain and has no norm bound restriction, these above conditions can be presented in terms of the positive definite characteristic of diagonal matrix and linear matrix, which is very directly perceived and easy to operate and can be easily solved by using Matlab Toolbox.