针对一类具有大工作区域和快时变特性的约束非线性系统,采用多个线性参数时变(LPV)模型近似描述原非线性系统.对于各LPV模型,设计基于参数独立Lyapunov函数的局部离线预测控制器.构造各局部控制器间的切换策略,在保证切换稳定性的同时,使相互重叠的稳定域覆盖期望的工作区域.仿真结果表明,相比于已有的调度预测控制方法,所提出的方法不仅能够保证控制输入在给定的约束范围内,而且在局部控制器切换次数少的情况下,获得良好的控制性能.
For a class of constrained nonlinear system with large operating regions and fast time-varying processes, a set of linear parameter-varying(LPV) models are designed as the approximate description of the original nonlinear system. For each LPV model, a local offline predictive controller with the stable region is designed according to the parameter dependent Lyapunov function. Then the overlapped stable regions cover the desired operating regions through the switching strategy in the set of local offline predictive controllers, and the stability of the scheduled controller is guaranteed. Simulation results show that, compared with the well-known scheduled predictive control algorithms, the proposed control strategy not only guarantees the control constraints, but also obtains good control performance with less switching times.