摘要: |
为了消除时滞和不确定性给实际系统造成的不良影响,采用鲁棒控制系统设计技术,进行鲁棒控制,对具有不确定性的系统,设计1个反馈增益控制器,使系统在不确定性的容许变化范围内满足设计要求,降低系统的灵敏度. 通过构造一种新的Lyapunov泛函方法,研究了一类带有时变时滞的不确定系统的鲁棒控制问题.通过细化不确定信息的结构,给出了基于线性矩阵不等式的控制器设计方法. |
关键词: Schur 补引理 状态反馈控制 不确定时滞系统 |
DOI:10.11918/j.issn.0367-6234.2012.11.028 |
分类号:TP2 |
基金项目:国家自然科学基金资助项目(61020106003). |
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Controller design for uncertain time-delay systems |
SUN Feng-qi
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Institute of Systems Science, Northeastern University, 110819 Shenyang, China
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Abstract: |
To eliminate time delay and uncertainty that cause some undesired effects in the actual system, using robust control system design techniques, a feedback gain controller is designed which allows the system to meet design requirements within the allowable range of uncertainty, and reduces the sensitivity of the system. A class of stability control problem for uncertain time-varying delay systems with state delay is investigated. By materializing uncertain structural information and constructing a new appropriate Lyapunov-Krasovskii functional based on LMIS, the controller design method is derived. |
Key words: schur complement lemma state feedback control uncertain time-delay systems |