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基于非线性方程组数值解法的严格正则系统同时镇定
Simultaneous Stabilization for Strictly Proper Systems via Numerical Algorithm of Nonlinear Equations
【摘要】 先运用多项式分解,将严格正则线性系统同时镇定问题化成一组相容非线性方程的求解,然后提出了一种求解相容非线性方程组的拟牛顿下山数值算法,并应用该方法求解同时镇定问题.算例表明本文方法的有效性.
【Abstract】 Based on the polynomial fractionization,the simultaneous stabilization problem for strictly proper linear systems is transformed into a solving problem of a set of consistent nonlinear equations. Then a quasi -Newton decent numeric algorithm for solving the consistent equations is presented and applied to solving the simultaneous simulation problem. Examples show the effectiveness of the method.
【关键词】 同时镇定;
鲁棒控制;
非线性方程组;
数值算法;
【Key words】 simultaneous stabilization; robust control; nonlinear equations; numeric algorithm;
【Key words】 simultaneous stabilization; robust control; nonlinear equations; numeric algorithm;
【基金】 湖北省自然科学基金
- 【文献出处】 科技通报 ,BULLETIN OF SCIENCE AND TECHNOLOGY , 编辑部邮箱 ,1996年06期
- 【分类号】O231
- 【下载频次】72