Abstract:

In order to maintain the stability of the system, the problem of robust stability analysis is investigated for uncertain time-delay singularly perturbed systems with norm bounded uncertainty parameters. Based on the supplement definition, for the case of delay-dependent and delay-independent, the sufficient robust stability judgment conditions and the corresponding existent theorem are deduced respectively by constructing the new Lyapunov-Krasovskii functionals. Compared with the existing literatures, the innovation that the resulting method in the form of matrix inequalities and strictly theoretical derivation is less conservative, because of the selected broader general Lyapunov-Krasovskii functionals. It can be used to study other delay perturbation system analysis and design issues.

Key words: singularly perturbed systems, time-delay system, uncertain system, matrix inequality(MI), Lyapunov-Krasovskii functional, delay-dependent