跳变系统在给定时间内的有限频段H∞控制

摘要

To guarantee the state trajectories of different modes stay within the desired bound in given time interval and have better disturbance rejection level, the given time controller is designed for jump systems subject to external distur-bances with specific frequency. The proposed control scheme provides new thought for reducing engineering conservation of controller design for jump systems not only from the perspective of time, but also from frequency domain by introducing frequency information into controller design. Simulation example verifies the effectiveness and advantages of the proposed algorithm.%本文针对特定频段的干扰信号，为多模态跳变系统设计给定时间控制器，在给定时间内设法使各模态轨迹在期望范围受限运动，且具有更强的干扰抑制能力。所提控制方案不仅从时间角度为降低跳变系统控制器设计的保守性提供了思路，频段信息的引入也从频率角度降低了设计结果的保守性。仿真示例验证了所提算法的有效性以及优越性。