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一类不确定系统的鲁棒D-稳定保守性研究
Research on Conservatism of Robust D-stability for a Class of Uncertain Systems
【摘要】 针对一类多面体不确定线性连续系统,研究了系统鲁棒D-稳定问题。为降低设计的保守性,引入参数相关Lyapunov函数,给出了系统鲁棒D-稳定的充分条件。通过求解一组线性矩阵不等式,得到了系统鲁棒D-稳定的状态反馈控制器,使得闭环系统鲁棒D-稳定。对某卫星姿态控制系统的仿真结果表明了该方法的有效性。
【Abstract】 The problem of robust D-stability control for polytopic continuous systems was considered.To reduce the design conservatism,a sufficient condition of robust D-stability was proposed by using a parameter-dependent Lyapunov functions. The state feedback robust D-stability controller was derived in terms of linear matrix inequalities,which guarantees the closed-loop to be robust D-stable.Simulation results of attitude control system for a certain satellite show the effectiveness of the proposed approach.
【关键词】 多面体不确定;
鲁棒D-稳定;
参数相关Lyapunov函数;
线性矩阵不等式;
保守性;
【Key words】 ploytopic type uncertainty; robust Dstability; parameter-dependent Lyapunov function; linear matrix inequality; conservatism;
【Key words】 ploytopic type uncertainty; robust Dstability; parameter-dependent Lyapunov function; linear matrix inequality; conservatism;
【基金】 安徽省高校自然科学研究重点项目(KJ2007A047、KJ2008A21ZC);安徽工程科技学院青年科研基金(2007YQ009zd)
- 【文献出处】 工业控制计算机 ,Industrial Control Computer , 编辑部邮箱 ,2008年11期
- 【分类号】TP13
- 【下载频次】65