| 摘要: |
| 针对含有飞行时滞的垂直起降(VTOL)直升机系统设计了时滞相关鲁棒非脆弱H∞控制器。基于时滞中点值把时滞区间均分为两部分,针对每一分割区间构造新的Lyapunov-Krasovskii (L-K)泛函，并结合L-K稳定性定理、积分不等式方法和自由权矩阵技术，建立了新的基于线性矩阵不等式(LMI)形式的时滞相关有界实(BRL)条件。在此基础上设计了该系统的非脆弱H∞控制器，通过求解线性矩阵不等式的可行解得到控制器的参数化表达式。最后应用于VTOL直升机的飞行控制仿真表明，所设计的控制器具有更好的鲁棒性和非脆弱性。 |
| 关键词: 非脆弱 H∞控制 Lyapunov-Krasovskii泛函 时滞分解 线性矩阵不等式 |
| DOI： |
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| 基金项目: |
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| A Delay Decomposition Approach to Robust Ｎon-fragile H∞Control for VTOL Helicopter |
| HUI Jun-jun,ZHANG He-xin,CHEN Yi,LI Ming |
| (MailBox 150 Extension 11;The Rocket Force Engineering university) |
| Abstract: |
| The delay-dependent robust non-fragile H∞controller for a vertical taking-off and landing (VTOL) helicopter system with flight time-delays is investigated. Based on the delay decomposition method, the whole delay interval is divided into two equidistant subintervals at its central point and new Lyapunov-Krasovskii (L-K) functionals are introduced on these intervals. Then, by using L-K stability theorem , integral inequality method together with free weighting matrix approach, a new delay-dependent BRL is formulated in terms of linear matrix inequality. Based on this, non-fragile H∞controller is designed for this system. At last, simulation results show that the designed controller has good robust and non-fragile performance |
| Key words: Non-fragile H∞control Lyapunov-Krasovskii(L-K)functional Delay decomposition approach Linear matrix inequality |
