基于混合系统模型的非线性系统最大可控不变集求解
首发时间:2008-01-09
摘要:针对非线性系统线性化在状态约束下最优鲁棒控制求解问题,本文提出了一种基于混合系统的混合逻辑动态模型(MLD)建模,通混合整型二次规划(MIQP)的求解系统的最大鲁棒控制不变集的方法,并求得不变集内的最优控制器,解决系统的状态约束问题。文中通过一个非线性系统实例进行建模、仿真,证明了本方法的可行性。
关键词: 混合系统 最大鲁棒控制不变集 混合逻辑动态模型 混合整数二次规划
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Maximal Robust Controlled Invariant Set of Nonlinear System Based on Hybrid Systems Model
Abstract:To solve the robust control optimization problem of nonlinear system by states constraint, this paper proposes a mehtod that obtains a maximal robust controlled invariant sets by mixed integer programming based on a mixed logic dynamic hybrid systems model. The optimization controller is computed to solve the problem of constraints. A nonlinear system example is modeled and simulated, the result proves the validity of the method.
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