Convexity of optimal control over networks with delays and arbitrary topology
Convexity of optimal control over networks with delays and arbitrary topology
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具有时滞和任意拓扑的网络最优控制的凸性
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
S. Lall
中科院分区：
文献类型：
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作者：
M. Rotkowitz;R. Cogill;S. Lall
我们考虑的最优控制器的设计网络系统（或时空系统），其中每个子系统的动态可能会影响其他子系统的一些传播延迟，和控制器可以与一些传输延迟彼此通信。我们表明，如果一个简单的条件成立，那么最优控制问题可能是一个凸优化问题重铸。这被证明是统一的，并广泛地概括了这类系统服从凸合成。当我们考虑空间不变系统的特殊情况时，这再次广泛地推广了已知的易处理问题。
We consider the design of optimal controllers for a networked system (or a spatio-temporal system), where the dynamics of each subsystem may affect those of other subsystems with some propagation delays, and the controllers may communicate with each other with some transmission delays. We show that if a simple condition holds, then the optimal control problem may be recast as a convex optimisation problem. This is shown to unify and broadly generalise the class of such systems amenable to convex synthesis. When we consider the special case of spatially invariant systems, this again broadly generalises the known class of tractable problems.