摘要
使用坐标变换 ,将双线性系统中的倍增控制项和叠加控制项重新组合成与线性系统有相同形式的非线性系统。采用等价控制和趋近律方法设计变结构控制律 .系统方程的函数在实数域内不连续 ,存在“状态深阱”。系统在“状态深阱”内将发散。通过切换面的选取可以研究“状态深阱”的性质 ,使象点在向原点运动时不落入“状态深阱”之内 ,仍然保持滑动模态的优良性能 ,给出了一个三阶系统数字例子的计算机仿真结果。
The nonlinear system as linear system in form is composed of multiplicative control and additive control items in bilinear system using coordinate transformations. The variables structure control law is designed using the method of equivalent control and tending law. The function of the system equations is not continuous in real number set because of the existence of the 'state deep trap'. The system is divergence in the 'state deep trap'. The properties of the 'state deep trap' are studied by choosing switching surface, so that the image point moving to the origin doesn't fall into the 'state deep trap' and keep the excellent properties of the sliding mode as usual. A 3 order system is discussed and the result of computer simulation for numerical examples is shown.
出处
《四川大学学报（工程科学版）》
EI
CAS
CSCD
2000年第6期96-99,共4页
Journal of Sichuan University (Engineering Science Edition)
基金
四川省教委重点科研课题资助项目
关键词
双线性系统
变结构控制系统
趋近律
状态深阱
bilinear system
variable structure control
tending law
state deep trap
