极点和方差约束在变结构控制中的应用策略

Application Strategy of Poles Indices and Vovariance Constraints to Variable Structure Control Systems

利用线性矩阵不等式方法,研究极点和方差约束在随机系统变结构控制设计中的应用策略.采用单位向量控制方法,给出由线性和非线性组成的控制器,线性部分控制器设计时采用同时满足闭环系统的极点和方差性能指标约束的方法,非线性部分保证系统能够在有限时间内从初始位置到达切换面.最后给出了该方法在车载火控系统中的应用实例.

A variable structure controller is designed for linear stochastic systems via linear matrix inequality method. The sliding surface is calculated to ensure that the poles of the closed-loop sub-system are allocated in specified sector region. The unit vector control is introduced to design the controller that consists of linear and nonlinear portion. The nonlinear portion guarantees the system to reach the sliding surface in finite time and the linear portion makes the system satisfy the constraints of multiple indices of the closed-loop system. A numeric example is given to show the effectiveness of the proposed approach.