This paper addresses the problems of input-to-state stabilization and integral input-to-state stabilization for a class of nonlinear impulsive delayed systems subject to exogenous dis-turbances.Since the information o...This paper addresses the problems of input-to-state stabilization and integral input-to-state stabilization for a class of nonlinear impulsive delayed systems subject to exogenous dis-turbances.Since the information of plant’s states,time delays,and exogenous disturbances is often hard to be obtained,the key design challenge,which we resolve,is the construction of a state observer-based controller.For this purpose,we firstly propose a corresponding observer which is independent of time delays and exogenous disturbances to reconstruct(or estimate)the plant’s states.And then based on the observations,we establish an observer-based control design for the plant to achieve the input-to-state stability(ISS)and integral-ISS(iISS)properties.With the help of the comparison principle and average impulse interval approach,some sufficient conditions are presented,and moreover,two different linear matrix inequalities(LMIs)based criteria are proposed to design the gain matrices.Finally,two numerical examples and their simulations are given to show the effectiveness of our theoretical results.展开更多
针对电子节气门系统的状态变量不完全可测量,设计了一个基于观测器的输出反馈电子节气门控制系统.该系统由一个估计不可测量状态的降阶观测器和一个非线性状态反馈控制器组成.同时在控制器中引入了跟踪误差的积分项以抑制跟踪静差.将建...针对电子节气门系统的状态变量不完全可测量,设计了一个基于观测器的输出反馈电子节气门控制系统.该系统由一个估计不可测量状态的降阶观测器和一个非线性状态反馈控制器组成.同时在控制器中引入了跟踪误差的积分项以抑制跟踪静差.将建模误差和观测器误差等不确定性看作外部扰动,在输入到状态稳定性(Input to state stability,ISS)理论框架下分析了跟踪误差系统的鲁棒性,并据此给出了选择控制器参数的指导性原则.仿真及实验结果表明,基于观测器的输出反馈控制器能够很好地实现电子节气门的跟踪控制.展开更多
This paper develops a large-scale small-gain result for dynamic networks composed of infinite-dimensional subsystems. It is assumed that the subsystems are input-to-output stable(IOS)and unboundedness observable(UO...This paper develops a large-scale small-gain result for dynamic networks composed of infinite-dimensional subsystems. It is assumed that the subsystems are input-to-output stable(IOS)and unboundedness observable(UO), and the large-scale infinite-dimensional system can be proved to be IOS and UO if the proposed small-gain condition is satisfied.展开更多
基金This work was supported by the National Natural Science Foundation of China(62173215)Major Basic Research Program of the Natural Science Foundation of Shandong Province in China(ZR2021ZD04,ZR2020ZD24)the Support Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions(2019KJI008).
文摘This paper addresses the problems of input-to-state stabilization and integral input-to-state stabilization for a class of nonlinear impulsive delayed systems subject to exogenous dis-turbances.Since the information of plant’s states,time delays,and exogenous disturbances is often hard to be obtained,the key design challenge,which we resolve,is the construction of a state observer-based controller.For this purpose,we firstly propose a corresponding observer which is independent of time delays and exogenous disturbances to reconstruct(or estimate)the plant’s states.And then based on the observations,we establish an observer-based control design for the plant to achieve the input-to-state stability(ISS)and integral-ISS(iISS)properties.With the help of the comparison principle and average impulse interval approach,some sufficient conditions are presented,and moreover,two different linear matrix inequalities(LMIs)based criteria are proposed to design the gain matrices.Finally,two numerical examples and their simulations are given to show the effectiveness of our theoretical results.
基金supported by the High Technology Research and Development Program of Jilin(20130204021GX)the Specialized Research Fund for Graduate Course Identification System Program(Jilin University)of China(450060523183)+2 种基金the National Natural Science Foundation of China(61520106008,U1564207,61503149)the Education Department of Jilin Province of China(2016430)the Graduate Innovation Fund of Jilin University(2016030)
文摘针对电子节气门系统的状态变量不完全可测量,设计了一个基于观测器的输出反馈电子节气门控制系统.该系统由一个估计不可测量状态的降阶观测器和一个非线性状态反馈控制器组成.同时在控制器中引入了跟踪误差的积分项以抑制跟踪静差.将建模误差和观测器误差等不确定性看作外部扰动,在输入到状态稳定性(Input to state stability,ISS)理论框架下分析了跟踪误差系统的鲁棒性,并据此给出了选择控制器参数的指导性原则.仿真及实验结果表明,基于观测器的输出反馈控制器能够很好地实现电子节气门的跟踪控制.
基金supported by the National Science Foundation under Grant No.ECCS-1501044the National Natural Science Foundation under Grant Nos.61374042,61522305,61633007 and 61533007the State Key Laboratory of Intelligent Control and Decision of Complex Systems at BIT
文摘This paper develops a large-scale small-gain result for dynamic networks composed of infinite-dimensional subsystems. It is assumed that the subsystems are input-to-output stable(IOS)and unboundedness observable(UO), and the large-scale infinite-dimensional system can be proved to be IOS and UO if the proposed small-gain condition is satisfied.