This paper develops the mean-square exponential input-to-state stability（exp-ISS） of the Euler-Maruyama（EM） method for stochastic delay control systems（SDCSs）.The definition of mean-square exp-ISS of numerical m...This paper develops the mean-square exponential input-to-state stability（exp-ISS） of the Euler-Maruyama（EM） method for stochastic delay control systems（SDCSs）.The definition of mean-square exp-ISS of numerical methods is established.The conditions of the exact and EM method for an SDCS with the property of mean-square exp-ISS are obtained without involving control Lyapunov functions or functional.Under the global Lipschitz coefficients and mean-square continuous measurable inputs,it is proved that the mean-square exp-ISS of an SDCS holds if and only if that of the EM method is preserved for a sufficiently small step size.The proposed results are evaluated by using numerical experiments to show their effectiveness.展开更多
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
针对一类具有执行器饱和的非线性控制系统,提出了一种双环路的动态抗饱和补偿方案,为执行器输出受限的非线性系统提供了新思路.与现有结果相比,所提方案能更好地改善闭环系统控制性能.考虑执行器饱和约束,通过优化执行器饱和发生前后控...针对一类具有执行器饱和的非线性控制系统,提出了一种双环路的动态抗饱和补偿方案,为执行器输出受限的非线性系统提供了新思路.与现有结果相比,所提方案能更好地改善闭环系统控制性能.考虑执行器饱和约束,通过优化执行器饱和发生前后控制器的状态误差的积分性能指标,综合设计一类同时包含传统抗饱和及延迟抗饱和补偿器两个环路的改进抗饱和补偿器,这类补偿器有效地抑制了饱和现象对控制器的影响,从而降低了执行器饱和对控制系统性能的影响.当系统存在高饱和度现象时,利用该双环路抗饱和补偿器,可以最大程度弱化饱和对系统性能的影响.最后,利用输入状态稳定(Input state stability,ISS)定理分析和证明了该闭环系统全局一致有界稳定.并通过舵机执行器受约束的舵减横摇系统的仿真试验,验证了该方案的有效性及优越性.展开更多
基金Supported by National Natural Science Foundation of China(10571036)the Key Discipline Development Program of Beijing Municipal Commission (XK100080537)
基金supported by the National Natural Science Foundation of China(6127312660904032)the Natural Science Foundation of Guangdong Province(10251064101000008)
文摘This paper develops the mean-square exponential input-to-state stability（exp-ISS） of the Euler-Maruyama（EM） method for stochastic delay control systems（SDCSs）.The definition of mean-square exp-ISS of numerical methods is established.The conditions of the exact and EM method for an SDCS with the property of mean-square exp-ISS are obtained without involving control Lyapunov functions or functional.Under the global Lipschitz coefficients and mean-square continuous measurable inputs,it is proved that the mean-square exp-ISS of an SDCS holds if and only if that of the EM method is preserved for a sufficiently small step size.The proposed results are evaluated by using numerical experiments to show their effectiveness.
基金Supported by National Natural Science Foundation of China （60872046） the Key Discipline Development Program of Beijing Municipal Commission （XK100080537）
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.
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.
文摘针对一类具有执行器饱和的非线性控制系统,提出了一种双环路的动态抗饱和补偿方案,为执行器输出受限的非线性系统提供了新思路.与现有结果相比,所提方案能更好地改善闭环系统控制性能.考虑执行器饱和约束,通过优化执行器饱和发生前后控制器的状态误差的积分性能指标,综合设计一类同时包含传统抗饱和及延迟抗饱和补偿器两个环路的改进抗饱和补偿器,这类补偿器有效地抑制了饱和现象对控制器的影响,从而降低了执行器饱和对控制系统性能的影响.当系统存在高饱和度现象时,利用该双环路抗饱和补偿器,可以最大程度弱化饱和对系统性能的影响.最后,利用输入状态稳定(Input state stability,ISS)定理分析和证明了该闭环系统全局一致有界稳定.并通过舵机执行器受约束的舵减横摇系统的仿真试验,验证了该方案的有效性及优越性.
