一类高阶非线性系统的动态面控制

系统工程与电子技术

一类高阶非线性系统的动态面控制

杜军1，邓涛1，姚宏2，彭兴钊1

（1. 空军工程大学航空航天工程学院，陕西西安 710038；
2. 空军工程大学理学院，陕西西安 710051）

出版日期:2014-03-24 发布日期:2010-01-03

Dynamic surface control for a class of high-order nonlinear systems

DU Jun1， DENG Tao 1， YAO Hong2， PENG Xingzhao1

(1. Aeronautics and Astronautics Engineering College, Air Force Engineering University, Xi’an 710038, China;
2. Sciences College, Air Force Engineering University, Xi’an 710051, China)

Online:2014-03-24 Published:2010-01-03

摘要/Abstract

摘要：

针对一类含不可控不稳定线〖JP+2〗性化的高阶非线性系统的跟踪控制问题，给出了一种连续状态反馈动态面控制器设计方案。基于增加幂次积分方法，利用状态参考的思想，设计了可导的期望虚拟控制律。利用动态面技术，让期望虚拟控制律的函数通过一阶低通滤波器，避免了对期望虚拟控制律的函数进行微分。所提连续状态反馈动态面控制器能够保证跟踪误差半全局一致终结有界。数值仿真算例结果验证了所提控制方案的有效性。

Abstract:

The tracking control problems for a class of high-order nonlinear systems with uncontrollable and unsta〖JP+3〗bilizable linearization are studied，and a nonsmooth state feedback dynamic surface controller is proposed. Based on adding a power integrator method, the virtual derivable controllers are designed by referring to the idea of state reference. According to the dynamic surface control method, a low pass filter is introduced to overcome the differential for the function of the virtual controller in every step. The designed nonsmooth statefeedback dynamic surface controller guarantees that the tracking error is semi-global uniformly ultimately bounded. The results of the simulation example prove the effectiveness of the proposed control scheme.

杜军1，邓涛1，姚宏2，彭兴钊1. 一类高阶非线性系统的动态面控制[J]. 系统工程与电子技术.

DU Jun1， DENG Tao 1， YAO Hong2， PENG Xingzhao1. Dynamic surface control for a class of high-order nonlinear systems[J]. Systems Engineering and Electronics.