LMI tools for eventually periodic systems
LMI tools for eventually periodic systems
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用于最终周期系统的 LMI 工具
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
G. Dullerud
中科院分区：
文献类型：
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作者：
M. Farhood;G. Dullerud
重点讨论最终周期线性离散时间系统的概念。我们推导出一个必要和充分的分析条件，检查开环稳定性和性能的系统，并使用此导出精确的控制器合成条件最终周期植物。所有的条件推导提供的半定规划问题。这项工作的动机是控制非线性系统沿着预先指定的轨迹，特别是那些最终解决到周期轨道和那些不确定的初始状态。
Focuses on the concept of an eventually periodic linear discrete-time system. We derive a necessary and sufficient analysis condition for checking open-loop stability and performance of such systems, and use this to derive exact controller synthesis conditions given eventually periodic plants. All the conditions derived are provided in terms of semi-definite programming problems. The motivation for this work is controlling nonlinear systems along prespecified trajectories, notably those which eventually settle down into periodic orbits and those with uncertain initial states.