一类输入饱和系统带极点保证的半全局镇定  

Semi-global stabilization of a type of input systems with pole assurance

作　　者：付东旭[1] 刘惠康[1] 周彬[2] 

机构地区：[1]武汉科技大学,湖北武汉430081 [2]哈尔滨工业大学,黑龙江哈尔滨150001

出　　处：《武汉大学学报（工学版）》2008年第2期111-115,共5页Engineering Journal of Wuhan University

摘　　要：研究了一类输入饱和系统的半全局镇定问题.首先通过变换,将一类特殊的代数Riccati方程的求解等价成代数Lyapunov方程的求解,并研究了其解的性质.利用该方程的解构造出了一类输入饱和系统的半全局镇定的低-高增益反馈律.该方法只需求解一个线性代数Lyapunov方程,因而可以大大提高计算精度.更重要的是,相比现有结果,该方法可以配置闭环的特征多项式,改善系统的收敛性能.数值算例表明了方法的有效性.A kind of question of input saturation systemic semi-global stabilization is researched. First, the solution of a kind of special algebraic Riccati equation is transformed into the answer of the algebraic Lyapunov equation; and its characters are researched. With the answer of this equation, we work out the feedback rule of semi-global stabilization with low-high gain. We do thing only by working out an algebraic Lyapunov equation, which is a linear equation, so we can enhance its calculational precision to a great degree. What is more important, by using this method we can configure the characteristic polynomial of the closed loop, and change the convergence of the system, which is quite different from the character configuration method and the algebraic Riccati equation. Comparing with the existing results stic structure we also can configure the characteristic polynomial of the closed loop, and change the system convergence. The example of the numerical value can show that.

关 键 词：饱和系统 半全局镇定 渐近零能控 指数稳定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]