基于多变量ESA的反演控制方法在微喷十字梁系统中的应用

Application of Back-Stepping Control Based on Multi-Parameter ESA for Jet Cross Beam System

针对传统参数调节方法耗时长、盲目性大的不足,提出了基于多变量极值搜索算法（ESA）的反演控制器设计方法,并应用Lyapunov理论对其稳定性进行了分析。利用多变量ESA在线寻找代价函数极值而获得优化参数值,并通过多通道极值搜索渠道对各参数同时进行自适应寻优调节,克服了参数间的耦合作用,简化了参数调节过程,并缩短了系统收敛时间。仿真结果表明,该方法可以较快地找到优化参数值,有效缩短了系统收敛时间。

For the case that the traditional parameter adjustment consumes too much time,a method using the multi-parameter extremum seeking（ESA） to tune the back-stepping controller parameters was presented,and its stability was analyzed by Lyapunov theory.The multi-parameter ESA could obtain the optimized value of parameters by the multiple channels design.Therefore the utilization of the multi-parameter ESA could simplify the process of parameter adjustment and shorten the converging time of the system.The simulation results demonstrated that the back-stepping controller based on the multi-parameter ESA was effective in shortening the converging time of the system.