| 摘要: |
| 针对一类区间变时滞不确定系统的时滞相关鲁棒非脆弱H∞控制问题进行了研究。基于时滞中点分割法和互凸组合技术，构造了一个包含四重积分项的Lyapunov-Krasovskii泛函(LKF)，并利用新的积分不等式方法给出了LMI形式的时滞相关有界实判据；基于此给出了该系统非脆弱H∞控制器的设计方法，该方法不需要参数调节且易于实现。仿真结果表明，所推导的有界实判据和所设计的控制器具有很好的鲁棒性和非脆弱性。 |
| 关键词: 非脆弱 H∞控制 互凸组合技术 四重积分 Lyapunov-Krasovskii泛函(LKF) |
| DOI： |
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| 基金项目:国家自然科学基金（61374120） |
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| Non-fragile H∞ Robust Controller Design for Interval Time-Varying Delay Systems |
| SONG Rui,ZHANG He-xin,WU Yu-bin,ZHANG Xian-yu,CAO Jian |
| (Sergeancy School of Rocket Force, Weifang 262500, China;Department of Automatic Control Engineering, Rocket Force University of Engineering, Xi'an 710025, China;Unit 96713 of the Chinese people's Liberation Army, Shangrao 334102, China) |
| Abstract: |
| The problem of delay-dependent non-fragile H∞ control for linear system with interval time-varying delay is investigated. In order to develop a less conservative H∞ performance analysis criterion, a Lyapunov-Krasovskii functional comprising quadruple-integral term is introduced. Then, based on the delay-central-point (DCP) method, convex combination technique and integral inequality approach (IIA), the bounded real criterion and the non-fragile H∞ controller are formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by using standard numerical packages. At last, simulation results showed that the performance analysis criterion and the designed controller have good robustness and non-fragile performance. |
| Key words: Non-fragile H∞ control Reciprocally convex combination Quadruple-integral term Lyapunov-Krasovskii functional (LKF) |
