中文摘要：

提出一种基于平方和（SOS）优化的多项式模糊系统H∞状态反馈控制器设计方法。运用Lyapunov方法和多项式平方和分解技术，提出一种多项式模糊系统H∞性能准则，基于该性能准则，推导出多项式模糊系统H∞状态反馈控制器存在的充分条件；并进一步将控制器设计问题转化为具有平方和多项式约束的参数优化问题。理论分析和仿真结果表明了所提方法的有效性。

英文摘要：

The problem of H∞ state feedback controller design is investigated for polynomial fuzzy systems based on sum-of-squares （SOS） optimization.Firstly,an H∞ performance criteria of polynomial fuzzy systems was proposed by using Lyapunov approach and SOS decomposition .Then,the sufficient conditions for the existence of state feedback H∞ controller were derived in terms of SOS based on the proposed performance criteria.Furthermore,the optimal H∞ controller design problem was converted into a parameter optimization problem with SOS constraints.Both theoretical and numerical simulation demonstrated the effectiveness of the proposed design approach .