一类非线性系统的次优控制研究  

Suboptimal control study for a class of nonlinear systems

作　　者：杨智[1] 彭璐[1] 范正平[1] 

机构地区：[1]中山大学信息科学与技术学院,广州510275

出　　处：《控制与决策》2009年第12期1836-1840,1845,共6页Control and Decision

基　　金：国家自然科学基金项目(60704045)

摘　　要：考虑一类关系度不确定且零动态稳定的非线性系统的控制器设计问题.利用预测控制概念,通过选用较为全面的二次型性能指标,对输出进行高阶泰勒级数展开,推导出一种非切换的解析次优控制律,进而得出了在该控制律下闭环系统局部稳定的充分条件.仿真例子验证了该控制算法具有较好的动态性能,与已有的近似线性化方法相比,显示了该控制策略的优越性.The design of controller for a class of nonlinear systems with ill-defined relative degree and stable zero- dynamics is considered. By selecting the comprehensive quadratic performance index, the higher-order Taylor series expansion for the output is derived on the basis of predictive control concept. As a result, a non-switch analytic suboptimal control law and its sufficient condition for the local stability in the closed-loop system are obtained. The simulation examples show that the system has good dynamic performance under the proposed algorithm. Compared with the existing input-output linearization method, the superiority of the proposed control strategy is obvious.

关 键 词：非线性系统 关系度不确定 非线性模型预测控制 次优控制 鲁棒关系度 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]