多模型系统采用多个局部模型共同描述系统动态行为,局部模型依据设定的模糊规则进行切换。采用并行分布式补偿方法设计基于局部模型的局部控制器,局部控制器与局部模型共享相同的切换规则,全局系统开环及闭环Lyapunov稳定性条件表明,在保证该条件成立的对称正定矩阵存在时,能够获得全局稳定的切换序列。与滑模变结构控制的仿真对比实验表明,所提出的建模及控制方法具有更好的全局收敛速度。
Multi-model system employs multiple local models to describe system dynamic, local models switch according to the fuzzy switching rules. The parallel distributed compensation method is used to develop local controllers based on local models, local controllers and models share the same switching rules. The Lyapunov stability condition of open and closed- loop system indicates that stable switching sequence can be derived with the existence of symmetric positive definite matrix. The comparison simulations show that proposed algorithm has good global convergence speed than sliding modes control.