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分析了切换线性系统的稳定性和优化问题,提出了一个Armijo步长优化的共轭梯度算法来寻找适当代价函数下的优化切换时间点集.为了确保优化切换路径是可压缩的,提出了代价函数需要满足的受限表达式.设计了几种优化分段状态反馈切换律来搜索聚合系统的最优切换路径,同时这些切换路径就是对应原始切换线性系统的次优化切换路径.最后,一个实例演示了不同切换律下的切换策略和优化代价.
The stability and optimization of switched linear systems are analyzed and an Armijo step size optimized conjugate gradient algorithm is proposed to find the optimal switching time point set under the appropriate cost function. In order to ensure that the optimal switching path is compressible, a price is proposed Function to satisfy the restricted expression.There are several optimal switched state feedback laws of subsection state are designed to search the optimal switching path of the aggregation system and these switching paths are the suboptimal switching paths corresponding to the original switched linear system.Finally, Demonstrates switching strategies and optimization costs under different handover laws.