MIMO仿射型非线性系统的滑模切换极值搜索控制

Sliding Mode Switching Extremum Seeking Control for MIMO Affine Nonlinear Systems

摘要:

针对 MIMO仿射型非线性系统设计了一种基于分数阶积分的滑模切换极值搜索控制方法,将系统分解为若干个子系统,对每个子系统采用输出跟踪误差以及该误差函数的分数阶积分值构造切换函数,构造滑模切换极值搜索控制律,证明了方法的稳定性。对比已有的方法进行仿真分析,验证了方法具有较好性能。

Abstract:

A sliding mode switching extremum seeking control method based on fractional-order integral was proposed formulti-input multi-output (MIMO) affine nonlinear systems. The original nonlinear system was decomposed into severalsubsystems and switching function was constructed by the output tracking error and the integral of the tracking error. Slid.ing mode switching extremum seeking control law was designed and method stability was proved strictly. Simulation re.sults were presented to illustrate the advantages of this method by comparing with the existing method.