In this paper, we present a new sufficient condition for absolute stability of Lure system with two additive time-varying delay components. This criterion is expressed as a set of linear matrix inequalities （LMIs）, ...In this paper, we present a new sufficient condition for absolute stability of Lure system with two additive time-varying delay components. This criterion is expressed as a set of linear matrix inequalities （LMIs）, which can be readily tested by using standard numerical software. We use this new criterion to stabilize a class of nonlinear time-delay systems. Some numerical examples are given to illustrate the applicability of the results using standard numerical software.展开更多
A novel output feedback control law with disturbance compensation for nonlinear multiinputmulti-output (MIMO) time-invariant systems under measurement noises is proposed. Thedesigned control law, based on the noise an...A novel output feedback control law with disturbance compensation for nonlinear multiinputmulti-output (MIMO) time-invariant systems under measurement noises is proposed. Thedesigned control law, based on the noise and disturbance estimations, ensures the accuracy insteady state depending on the disturbance, only one component of noise vector and its firstderivatives. Therefore, the proposed algorithm is efficient under noises with large magnitudes.Sufficient conditions in terms of linear matrix inequalities (LMIs) provide a practical exponentialstability of the closed-loop system. The simulations illustrate an efficiency of the proposedmethod compared with some existing ones.展开更多
文摘In this paper, we present a new sufficient condition for absolute stability of Lure system with two additive time-varying delay components. This criterion is expressed as a set of linear matrix inequalities （LMIs）, which can be readily tested by using standard numerical software. We use this new criterion to stabilize a class of nonlinear time-delay systems. Some numerical examples are given to illustrate the applicability of the results using standard numerical software.
基金Research in Section 3 was supported by grant of the President of the Russian Federation(project no.MD-1054.2020.8)Research in Sections 4,5 was supported by grant of the Russian Foundation for Basic Research(project no.20-08-00610).
文摘A novel output feedback control law with disturbance compensation for nonlinear multiinputmulti-output (MIMO) time-invariant systems under measurement noises is proposed. Thedesigned control law, based on the noise and disturbance estimations, ensures the accuracy insteady state depending on the disturbance, only one component of noise vector and its firstderivatives. Therefore, the proposed algorithm is efficient under noises with large magnitudes.Sufficient conditions in terms of linear matrix inequalities (LMIs) provide a practical exponentialstability of the closed-loop system. The simulations illustrate an efficiency of the proposedmethod compared with some existing ones.
