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针对一类目标函数受预设性能函数限定的严格反馈极值搜索系统的控制问题,将极值搜索控制、预设性能控制、反演控制相结合,提出一种预设性能反演控制器设计方法.针对极值搜索系统的目标函数构造新型的性能函数;利用性能函数对系统进行函数变换,构建等效简单变换模型;基于变换模型,利用反演控制方法逐步递推选取适当的Lyapunov函数进行控制器设计,以实现在对目标函数搜索到极值的同时保证预设性能指标.最后通过数值仿真验证了所提出方法的有效性.
Aiming at the control problem of a strict feedback extreme value search system whose objective function is limited by the preset performance function, this paper proposes a preset performance inversion controller design by combining the extreme value search control, the preset performance control and the inverse control. Aiming at the objective function of the extremum search system to construct a new type of performance function; using the function function to transform the function of the system to construct the equivalent simple transformation model; using the transformation model, using the inversion control method to recursively select the appropriate Lyapunov function The controller is designed to ensure that the performance index is guaranteed while searching the extremum of the objective function.Finally, the effectiveness of the proposed method is verified by numerical simulation.