This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common...This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common linear Lyapunov function. Second, by establishing multiple Lyapunov functions, a dwell time based condition is proposed for the regional stability analysis. Third, a suprasphere which contains all equilibrium points is constructed as a stability region of the considered PSLS-MEP, which is less conservative than existing results. Finally, the study of an illustrative example shows that the obtained results are effective in the regional stability analysis of PSLS-MEP.展开更多
This paper concerns the disturbance attenuation control problem for switched systems where the subsystems have different equilibria.By introducing a Lyapunov function that measures the proximity to the stability regio...This paper concerns the disturbance attenuation control problem for switched systems where the subsystems have different equilibria.By introducing a Lyapunov function that measures the proximity to the stability region,numerically testable stability and stabilization criteria of the systems are obtained.For multi-equilibrium switched systems with energy-bounded disturbances,the L_(2)-gain is analyzed and the multi-equilibrium bound real lemma(ME-BRL)is derived.Further,an H_(∞)multiequilibrium switched(H_(∞)-MES)controller is designed,which ensures not only the nominal stability but also the H_(∞)performance index of the closed-loop systems.Finally,the control method is applied to aero-engine control systems.The simulation results demonstrate that the proposed approach effectively attenuates the adverse impacts of external disturbances on the control systems.展开更多
基金supported by National Natural Science Foundation of China(No.61374065)the Research Fund for the Taishan Scholar Project of Shandong Province
文摘This paper studies the regional stability for positive switched linear systems with multi-equilibrium points （PSLS-MEP）. First, a sufficient condition is presented for the regional stability of PSLS-MEP via a common linear Lyapunov function. Second, by establishing multiple Lyapunov functions, a dwell time based condition is proposed for the regional stability analysis. Third, a suprasphere which contains all equilibrium points is constructed as a stability region of the considered PSLS-MEP, which is less conservative than existing results. Finally, the study of an illustrative example shows that the obtained results are effective in the regional stability analysis of PSLS-MEP.
基金partially supported by the National Natural Science Foundation of China(Grant Nos.62225305,12072088)the Fundamental Research Funds for the Central Universities,China(Grant Nos.HIT.OCEF.2022047,HIT.BRET.2022004,HITDZIJ.2023049)+2 种基金the Grant JCKY2022603C016the State Key Laboratory of Robotics and System(HIT)the Heilongjiang Touyan Team。
文摘This paper concerns the disturbance attenuation control problem for switched systems where the subsystems have different equilibria.By introducing a Lyapunov function that measures the proximity to the stability region,numerically testable stability and stabilization criteria of the systems are obtained.For multi-equilibrium switched systems with energy-bounded disturbances,the L_(2)-gain is analyzed and the multi-equilibrium bound real lemma(ME-BRL)is derived.Further,an H_(∞)multiequilibrium switched(H_(∞)-MES)controller is designed,which ensures not only the nominal stability but also the H_(∞)performance index of the closed-loop systems.Finally,the control method is applied to aero-engine control systems.The simulation results demonstrate that the proposed approach effectively attenuates the adverse impacts of external disturbances on the control systems.
