CAJ | 학술논문

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。
제출일충기우평방화（SOS）우화적다항식모호계통 H∞상태반궤공제기설계방법。운용 Lyapunov 방법화다항식평방화분해기술，제출일충다항식모호계통 H∞성능준칙，기우해성능준칙，추도출다항식모호계통 H∞상태반궤공제기존재적충분조건；병진일보장공제기설계문제전화위구유평방화다항식약속적삼수우화문제。이론분석화방진결과표명료소제방법적유효성。
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 .