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| 1 | 一类变时滞饱和不确定系统鲁棒H_∞滤波器设计显示文摘研究一类不确定时变时滞饱和系统的H∞滤波器设计问题.该类系统状态方程中含有时变时滞和有界不确定项,输出方程中含有饱和项,系统的噪声信号功率有界但统计特性未知.本文给出一种线性滤波器结构,提出一种新的设计方法.该方法主要应用Lyapunov-Krasovskii稳定性理论和线性矩阵不等式,来分析和设计滤波器;它能使得时变时滞项,饱和项以及不确定项在设计中得到有效处理,且所设计的滤波器能满足H∞性能指标,滤波器参数通过求解一种线性矩阵不等式来确定.例子的分析与仿真验证了本文方法的有效性. | 洪晓芳 王玉振 | 2012 | 控制理论与应用2012，29，10： | 3 |
| 2 | Robust H_2/H_∞ global linearization filter design for nonlinear stochastic time-varying delay systems显示文摘One can design a robust H_∞ filter for a general nonlinear stochastic system with external disturbance by solving a second-order nonlinear stochastic partial Hamilton-Jacobi inequality(HJI), which is difficult to be solved. In this paper, the robust mixed H_2/H_∞ globally linearized filter design problem is investigated for a general nonlinear stochastic time-varying delay system with external disturbance, where the state is governed by a stochastic It-type equation. Based on a globally linearized model, a stochastic bounded real lemma is established by the Lyapunov–Krasovskii functional theory, and the robust H_∞ globally linearized filter is designed by solving the simultaneous linear matrix inequalities instead of solving an HJI. For a given attenuation level,the H_2 globally linearized filtering problem with the worst case disturbance in the H_∞ filter case is known as the mixed H_2/H_∞ globally linearized filtering problem, which can be formulated as a linear programming problem with simultaneous LMI constraints. Therefore, this method is applicable for state estimation in nonlinear stochastic time-varying delay systems with unknown exogenous disturbance when state variables are unavailable.A simulation example is provided to illustrate the effectiveness of the proposed method. | Weihua MAO Feiqi DENG Anhua WAN | 2016 | Science China(Information Sciences)2016，59，3： | 1 |
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