This paper describes the synthesis of robust and non-fragile H∞ state feedback controllers for a class of uncertain jump linear systems with Markovian jumping parameters and state multiplicative noises. Under the ass...This paper describes the synthesis of robust and non-fragile H∞ state feedback controllers for a class of uncertain jump linear systems with Markovian jumping parameters and state multiplicative noises. Under the assumption of a complete access to the norm-bounds of the system uncertainties and controller gain variations, sufficient conditions on the existence of robust stochastic stability and γ-disturbance attenuation H∞ property are presented. A key feature of this scheme is that the gain matrices of controller are only based on It, the observed projection of the current regime rt.展开更多
针对一类马尔科夫网络控制系统(Net worked control system,NCS),研究了其均方指数镇定问题.首先将网络控制系统建模为离散时间切换系统,子系统间的切换过程由一个转移概率矩阵已知的马尔科夫链描述,并给出了子系统间切换频度的范围;进...针对一类马尔科夫网络控制系统(Net worked control system,NCS),研究了其均方指数镇定问题.首先将网络控制系统建模为离散时间切换系统,子系统间的切换过程由一个转移概率矩阵已知的马尔科夫链描述,并给出了子系统间切换频度的范围;进而基于随机过程理论和切换系统稳定性理论,利用状态反馈实现了网络控制系统均方指数镇定,状态反馈控制律可通过求解一组线性矩阵不等式获得.最后通过数值仿真例子验证了本文方法的有效性。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 National Natural Science Foundation of P. R. China (60274012)
文摘This paper describes the synthesis of robust and non-fragile H∞ state feedback controllers for a class of uncertain jump linear systems with Markovian jumping parameters and state multiplicative noises. Under the assumption of a complete access to the norm-bounds of the system uncertainties and controller gain variations, sufficient conditions on the existence of robust stochastic stability and γ-disturbance attenuation H∞ property are presented. A key feature of this scheme is that the gain matrices of controller are only based on It, the observed projection of the current regime rt.
文摘针对一类马尔科夫网络控制系统(Net worked control system,NCS),研究了其均方指数镇定问题.首先将网络控制系统建模为离散时间切换系统,子系统间的切换过程由一个转移概率矩阵已知的马尔科夫链描述,并给出了子系统间切换频度的范围;进而基于随机过程理论和切换系统稳定性理论,利用状态反馈实现了网络控制系统均方指数镇定,状态反馈控制律可通过求解一组线性矩阵不等式获得.最后通过数值仿真例子验证了本文方法的有效性。
文摘为验证滑模控制用于含随机干扰的车辆跟随系统的可行性,建立了车辆跟随系统模型和相应的随机车辆动力学模型.用滑模控制法设计了随机车辆跟随系统的控制器.用向量Lyapunov函数法研究了控制系统稳定性,并得到系统指数均方稳定的充分条件.仿真中设置的随机因素为车辆的阻力.仿真结果表明,在5 s内跟随车辆的加速度和速度已接近领头车辆,车间距误差小于0.05 m.
