残缺互补判断矩阵权的最小平方排序方法及改进

研究了积型残缺互补判断矩阵的排序方法,提出了残缺互补判断矩阵权的最小平方法,然后在此基础上提出了残缺互补判断矩阵排序的二次规划法,并且给出了残缺互补判断矩阵一致性检验的公式。提出的方法不仅可以用于残缺互补判断矩阵的排序,而且可以用于完全互补判断矩阵的排序,从而为解决残缺互补判断矩阵排序问题提供了新的途径。理论和数值结果均表明:这些排序方法具有简洁可行?易于计算机上实施等优点。     

跳变时滞随机系统的鲁棒保性能控制

研究了马尔可夫跳变参数时滞随机系统的鲁棒保性能控制问题。通过构造一个Lyapunov函数,并应用Ito微分公式沿系统对其求微分,再利用线性矩阵不等式(LMI)的性质和广义Ito公式,给出了此类系统保性能控制律存在的充分条件,估计了其保性能值,同时,控制器的设计归结为一族LMI的求解问题。最后,数值算例说明了方法的有效性。     

标定方程AX=ZB的两种新解法

提出了同时确定手眼关系以及机器人坐标系到世界坐标系关系的两种算法。和现有算法相比,给出的算法分别基于对偶四元数和矩阵直积理论,均可一次计算出标定方程的旋转部分和平移部分,不存在误差的传递问题。仿真结果表明了算法的有效性,这些结论对于类似问题的求解具有一定的参考价值。     

Research on consistency measurement and weight estimation approach of hybrid uncertain comparison matrix

The consistency measurement and weight estimation approach of the hybrid uncertain comparison matrix in the analytic hierarchy process （AHP） are studied. First, the decision-making satisfaction membership function is defined based on the decision making＇s allowable error. Then, the weight model based on the maximal satisfactory consistency idea is suggested, and the consistency index is put forward. Moreover, the weight distributing value model is developed to solve the decision making misleading problem since the multioptimization solutions in the former model. Finally, the weights are ranked based on the possibility degree approach to obtain the ultimate order.     

Robust model predictive control of continuous uncertain systems*

The authors concern robust model predictive control for linear continuous systems with polytopic uncertainties and input constraints. At each sampling time, a piecewise constant control sequence is obtained by solving a set of linear matrix inequalities. The sufficient conditions on the existence of the model predictive control are given, and the robust stability of the closed-loop systems is guaranteed. A simulation example illustrates the efficiency of the proposed method.     

二次D稳定约束下不确定T-S模糊系统的L∞鲁棒可靠控制

针对一类受持续有界扰动的T-S不确定模糊系统,提出了考虑执行器故障的鲁棒可靠控制器设计方法。引入基于L_∞范数理论的鲁棒性能指标及二次D稳定的概念,给出了鲁棒可靠控制器存在的充分条件。通过求解线性矩阵不等式完成可靠控制器的设计,从而使系统即使在发生执行器故障的情况下仍能满足给定的L_∞性能指标,并且闭环系统二次D稳定。仿真实例表明了本方法的有效性。     

冲击噪声背景下宽频段信号三维参数的估计

提出了一种基于协变异矩阵的宽频段信号频率和二维到达角联合估计的算法。在冲击噪声环境下,该算法能精确地估计宽频段信号的三维参数,无需多维谱峰搜索和参数配对过程。另外,利用L型阵列的分维特点和ESPRIT算法进一步处理,成功地实现了具有频率兼并现象的宽频段信号的三维参数估计。计算机仿真结果验证了算法的有效性。     

Controlling uncertain fuzzy neutral dynamic systems with Markov jumps

The robust H∞ control problems for stochastic fuzzy neutral Markov jump systems (MJSs) with parameters uncertainties and multiple time-delays are considered. The delays are respectively considered as constant and time varying, and the uncertain parameters are assumed to be norm bounded. By means of Takagi-Sugeno fuzzy models, the overall closed-loop fuzzy dynamics are constructed through selected membership functions. By selecting the appropriate Lyapunov-Krasovskii functions, the sufficient condition is given such that the uncertain fuzzy neutral MJSs are stochastically stability for all admissible uncertainties and satisfies the given H∞ control index. The stability and H∞ control criteria are formulated in the form of linear matrix inequalities, which can be easily checked in practice. Practical examples illustrate the effectiveness of the developed techniques.     

对称机动飞行时飞行员人体动态体表压力分布研究

论述了飞行员人体动态体表压力分布对于飞行过载动感仿真的重要性。给出坐姿人体体表压力模式及其等效压力分析方法。在对称机动飞行情形下,建立了飞行员人体动力学方程,该方程考虑了歼击机飞行员实际坐姿。导出了动态体表压力公式,动态体表压力与飞行员人体加速度之间的惯性传递矩阵。给出与动态体表压力相关的歼击机飞行员人体参数计算方法。以某飞机眼镜蛇机动为例,通过数值求解,得到该机动飞行时飞行员人体动态体表压力分布。研究结果可用于指导过载椅设计。     

具有时变扰动不确定系统的对偶自适应控制

对一类具有参数不确定性以及时变外部输入扰动的线性系统的控制方法进行了研究 :(1)提出了一种系统参数和扰动的联合辨识实时辨识方法 ,即在不需预先知道扰动模型的情况下 ,同时估计被控对象参数与外部输入扰动 ,并根据辨识结果对输入扰动进行实时补偿 ;(2 )设计了一对偶自适应控制器 ,该控制器具有控制与学习的双重作用 ,能够克服系统参数不确定性影响 ,且防止了传统自适应系统可能有的“关断” ,“终止”和“猝发”等不良现象 ,从而增强了自适应控制系统的鲁棒性。最后通过仿真例子验证了算法的有效性。