在实际被控过程中往往存在着很多约束条件,这使得预测控制的在线优化问题表现为非线性,难以获得控制律的具体表达式,为约束预测控制的分析造成困难。基于Newton控制框架,针对线性系统离散状态空间的动态模型,考虑具有输入、输出区间约束条件下,基于区间控制思想的预测控制律的解析表达式,分别得到无约束和有约束情况下状态反馈控制律的解析形式,从而分析约束条件对控制的影响。通过二阶系统的控制仿真实验证明了前面推导与分析的正确性。
There are many constraints exist in practical controlled system, which make the on-line optimization problem of constrainedmodel predictive control nonlinear. Thus, it' s difficult to obtain the explicit control law and analyze the properties of constrained model predictive control. Based on the Newton control framework, for linear discrete-time state-space system with the zone constraints of input and output variables, the expression of control law of constrained predictive control based on zone control is deducted. The control law is represented as the state feedback form for without and with constraints ease respectively, and then can be used to discuss the impact of constraints on control. The effectiveness of the derivation and analysis is demonstrated by simulations of the second-order linear system control problem.