| 一类含多面体不确定性多项式系统鲁棒镇定; Robust stabilization for a class of polynomial systems with polytopic uncertainties | |
| 黄文超 ; 孙洪飞 ; 曾建平 | |
| 2013-09-15 | |
| 关键词 | 多项式平方和 多面体不确定性 非线性 S-procedure sum of squares(SOS) polytopic uncertainties nonlinear S-procedure |
| 英文摘要 | 针对一类含多面体不确定性的多项式系统,研究其局部稳定鲁棒镇定问题.基于多项式平方和(SOS)技术,将该类非线性控制问题转换为凸的SOS规划问题,并通过引入S-PrOCEdurE技术,保证了所得结论在局部范围内是有效的.同时,结合参数依赖lyAPunOV函数方法,给出了该类系统鲁棒性分析与鲁棒镇定控制问题的充分条件,并将其描述为可由SOS规划技术直接求解的状态依赖线性矩阵不等式约束集.最后,通过数值仿真验证了该方法的有效性.; The sum of squares(SOS) and the S-procedure techniques are used to analyze the local robust stabilization problems for a class of polynomial systems with polytopic uncertainties.By using the SOS technique,the nonlinear control problems are converted into convex SOS programming ones.And the S-procedure technique guarantees that the result holds in a restricted region.Moreover,sufficient conditions are given for the robust stability analysis and robust stabilization control of the systems based on the parameter dependent Lyapunov function.All these solvability conditions are formulated as a constraint set of state dependent linear matrix inequalities,which can be solved by semidefinite programming relaxations based on SOS programming.Finally,a numerical example verifies the effectiveness of the proposed method.; 国家自然科学基金项目(61074004;61374037); 高等学校博士学科点专项科研基金项目(20110121110017); 教育部留学回国人员科研启动基金项目[2009] |
| 语种 | zh_CN |
| 内容类型 | 期刊论文 |
| 源URL | [http://dspace.xmu.edu.cn/handle/2288/123090]  |
| 专题 | 信息技术－已发表论文 |
| 推荐引用方式 GB/T 7714 | 黄文超,孙洪飞,曾建平. 一类含多面体不确定性多项式系统鲁棒镇定, Robust stabilization for a class of polynomial systems with polytopic uncertainties[J],2013. |
| APA | 黄文超,孙洪飞,&曾建平.(2013).一类含多面体不确定性多项式系统鲁棒镇定.. |
| MLA | 黄文超,et al."一类含多面体不确定性多项式系统鲁棒镇定".(2013). |
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