Dissipativity of Singularly Perturbed Lur'e Systems

The dissipativity problem of singularly perturbed Lur'e systems is investigated in this brief. Two new storage functions are constructed to explore the dynamics of both the fast and slow models, as well as their interaction more efficiently. By using the merit of the proposed storage functions, some new ε-uniformly strict dissipativity criteria in terms of well-conditioned linear matrix inequalities are derived. Moreover, a differential evolution algorithm is proposed to obtain the upper bound of singular perturbation parameter. The obtained results are theoretically and numerically less conservative than the existing results.