摘要:AbstractThis paper deals with H2control design of Lur’e-type switched systems through a generalization of the Popov criterion. More specifically, a state-input dependent switching rule is proposed in order to assure global asymptotic stability and H2guaranteed cost. This new switching strategy is the key point to generalize the celebrated Popov criterion. Likewise the case of time invariant systems, we propose a frequency domain stability test that is expressed in terms of a certain convex combination of the subsystems state space matrices. Moreover, this test takes into account an H2performance index whose study in the present context is novel in the literature. The theory is illustrated by an academic example.
关键词:KeywordsSwitched systemsLur’e type systemsPopov criterionH2performanceLMI