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
An adaptive controller of full state feedback for certain cascade nonlinear systems achieving input-to-state stability with respect to unknown bounded disturbance is designed using backstepping and control Lyapunov fu...An adaptive controller of full state feedback for certain cascade nonlinear systems achieving input-to-state stability with respect to unknown bounded disturbance is designed using backstepping and control Lyapunov function (CLF) techniques. We show that unknown bounded disturbance can be estimated by update laws, which requires less information on unknown disturbance, as a part of stabilizing control. The design method achieves the desired property: global robust stability. Our contribution is illustrated with the example of a disturbed pendulum.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
针对未知但有界扰动下约束非线性系统,提出一种新的鲁棒经济模型预测控制(Economic model predictive control,EMPC)策略,保证闭环系统对扰动输入具有输入到状态稳定性(Input-to-state stability,ISS).基于微分对策原理,分别优化经济目...针对未知但有界扰动下约束非线性系统,提出一种新的鲁棒经济模型预测控制(Economic model predictive control,EMPC)策略,保证闭环系统对扰动输入具有输入到状态稳定性(Input-to-state stability,ISS).基于微分对策原理,分别优化经济目标函数和关于最优经济平衡点的鲁棒稳定性目标函数,其中经济最优性与鲁棒稳定性是具有冲突的两个控制目标.利用鲁棒稳定性目标最优值函数构造EMPC优化的隐式收缩约束,建立鲁棒EMPC的递推可行性和闭环系统关于最优经济平衡点相对于有界扰动输入到状态稳定性结果.最后以连续搅拌反应器为例,对比仿真验证本文策略的有效性.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）
文摘An adaptive controller of full state feedback for certain cascade nonlinear systems achieving input-to-state stability with respect to unknown bounded disturbance is designed using backstepping and control Lyapunov function (CLF) techniques. We show that unknown bounded disturbance can be estimated by update laws, which requires less information on unknown disturbance, as a part of stabilizing control. The design method achieves the desired property: global robust stability. Our contribution is illustrated with the example of a disturbed pendulum.
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.
文摘针对未知但有界扰动下约束非线性系统,提出一种新的鲁棒经济模型预测控制(Economic model predictive control,EMPC)策略,保证闭环系统对扰动输入具有输入到状态稳定性(Input-to-state stability,ISS).基于微分对策原理,分别优化经济目标函数和关于最优经济平衡点的鲁棒稳定性目标函数,其中经济最优性与鲁棒稳定性是具有冲突的两个控制目标.利用鲁棒稳定性目标最优值函数构造EMPC优化的隐式收缩约束,建立鲁棒EMPC的递推可行性和闭环系统关于最优经济平衡点相对于有界扰动输入到状态稳定性结果.最后以连续搅拌反应器为例,对比仿真验证本文策略的有效性.
