Mixed Integer Programming Control Based on Hybrid Systems and Terminal Constraint by Invariant Sets
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摘要: 首先给出了混合系统的混合逻辑动态(Mixed logic dynamic, MLD)模型建模; 提出了基于终端不变集约束的混合整数规划优化控制, 通过建立Lyapunov函数证明了该方法的可行性; 利用混合整型二次规划(Mixed-integer quadratic programming, MIQP)的方法对终端不变集约束混合系统的优化控制进行求解; 最后通过一个实例进行建模、仿真, 证明了本方法的可行性与优越性.Abstract: This paper gives a hybrid system model based on mixed logic dynamic (MLD) at first, and proposes a mixed integer programming control based on terminal constraint by invariant set. The validity of the method is proved by Lyapunov function; then the problem is solved by the mixed-integer quadratic programming (MIQP) method. Finally, an example is modeled, and the result of the simulation shows the validity and superiority of the method.
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