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一类非线性系统的无超调控制
Non-overshooting control for a class of nonlinear systems
【摘要】 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.
【Abstract】 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.
【关键词】 无超调控制;
严格反馈非线性系统;
后推法;
【Key words】 non-overshooting control; strict-feedback nonlinear systems; backstepping;
【Key words】 non-overshooting control; strict-feedback nonlinear systems; backstepping;
【基金】 国家863计划项目(2009AA7060501)
- 【文献出处】 控制与决策 ,Control and Decision , 编辑部邮箱 ,2013年04期
- 【分类号】TP273.5
- 【被引频次】7
- 【下载频次】210