| 引用本文: | 肖敏,史忠科.水雷运动变时滞区间系统保性能非脆弱H∞控制[J].控制理论与应用,2010,27(1):59~68.[点击复制] |
| XIAO Min,SHI Zhong-ke.Non-fragile guaranteed-cost H-infinity control for mine motion in an interval system with time-varying delay[J].Control Theory and Technology,2010,27(1):59~68.[点击复制] |
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| 水雷运动变时滞区间系统保性能非脆弱H∞控制 |
| Non-fragile guaranteed-cost H-infinity control for mine motion in an interval system with time-varying delay |
| 摘要点击 1958 全文点击 1431 投稿时间：2008-07-07 修订日期：2009-04-11 |
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| DOI编号 10.7641/j.issn.1000-8152.2010.1.CCTA080703 |
| 2010,27(1):59-68 |
| 中文关键词 变时滞区间系统 脆弱性 保性能控制 H∞控制 LMI 运动控制 |
| 英文关键词 interval system with time-varying delay fragility guaranteed cost control H-infinity control LMI motion control |
| 基金项目 国家自然科学基金资助项目(60134010); 国家航空科技基金资助项目(2007ZD53053). |
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| 中文摘要 |
| 针对水雷运动控制试验中模型存在不确定性和综合误差难以确定的问题, 给出矩阵分解区间系统描述, 避免求二次方根的保守性, 设计了一种变时滞区间系统非脆弱H∞保性能控制器, 基于LMI方法给出解决上述问题的凸优化解法, 设计的控制器对所有的不确定性、时变时滞和海流干扰, 保证闭环系统稳定性、二次型性能指标上界和干扰衰减水平. 并给出使性能函数上界最小的最优控制器设计算法和最小干扰衰减度, 用某型水雷不确定运动系统分析演示了该方法的有效性. |
| 英文摘要 |
| To deal with the uncertainties and modeling errors in the mine motion control test, the interval system with matrix factorization is provided. This leads to avoid the conservative conditions in finding a square root. The non-fragile
guaranteed-cost H-infinity controller for a dynamic interval system with time-varying delay is designed. A linear convex optimization algorithm is developed in terms of an effective LMI for solving the problem. This algorithm guarantees the closed-loop system stability, keeps the specified upper bound for the cost function, and realizes the desired disturbance attenuation for all admissible uncertainties and under all kinds of disturbing sea flow. The procedures for the controller design and the attainable disturbance reduction are also given. The effectiveness of this approach has been demonstrated in
the analysis of certain types of mine motion with uncertainties. |