一类不确定系统的鲁棒D-稳定保守性研究 |
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引用本文: | 孙新柱,江明,陈其工.一类不确定系统的鲁棒D-稳定保守性研究[J].工业控制计算机,2008,21(11). |
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作者姓名: | 孙新柱 江明 陈其工 |
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作者单位: | 安徽工程科技学院安徽省电气传动与控制重点实验室,安徽,芜湖,241000 |
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基金项目: | 安徽省高校自然科学研究重点项目,安徽工程科技学院青年科研基金 |
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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.
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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 |
Research on Conservatism of Robust D-stability for a Class of Uncertain Systems |
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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. |
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Keywords: | ploytopic type uncertainty robust Dstability parameter-dependent Lyapunov function linear matrix inequality conservatism |
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