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分析一类非线性离散奇异摄动系统的降阶组合优化控制器的合理性,即降阶组合控制器与原始高阶优化控制器之间的关系.基于快、慢子系统的解耦,分别对快、慢子系统设计子优化控制器,并进一步提出作用于原高阶系统的组合优化控制器.对原高阶系统设计传统高阶优化控制器,提出组合优化控制器近似等于传统高阶优化控制器的充分条件.最后通过仿真验证了所得到结论的正确性.
The rationality of the reduced order combined optimization controller for a class of nonlinear discrete singularly perturbed systems is analyzed, which is the relationship between the reduced order combined controller and the original higher order optimal controller. Based on the decoupling of the fast and slow sub-systems, The suboptimal controller is designed for fast and slow sub-systems, and the combinatorial optimization controller for the original higher-order systems is further proposed.For the original high-order system, the traditional high-order optimization controller is proposed, and the combinatorial optimization controller is approximately equal to the traditional higher order The sufficient condition of the optimal controller is obtained.Finally, the correctness of the conclusions obtained is verified through simulation.