一类非线性系统的无超调控制

针对一类严格反馈非线性系统,利用后推法设计一种无超调跟踪控制律.对于阶数小于4的对象,给出了控制律参数应满足的充要条件;对于阶数更高的对象,给出了求解一个充分条件的方法.该控制律适用于零与非零初始条件,且参考输出不限制为阶跃信号.通过两个数值仿真例子验证了所提出控制律的有效性.

Non-overshooting control for a class of nonlinear systems

A non-overshooting control law for a class of strict-feedback nonlinear systems is developed by using the
backstepping method. For the systems with an order smaller than forth, a sufficient and necessary condition to assure no
overshoot is presented; while for those with a higher order, a method to derive sufficient conditions is proposed. The control
law is applied to both zero and non-zero initial conditions, and moreover does not require the reference to be a step signal.
Two simulation examples demonstrate the effectiveness of the control law.