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arXiv 2001.09451eess.SYcs.SYmath.OC
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K-正线性系统的可缩放控制设计

Scalable Control Design for K-positive Linear Systems

Yu Kawano, Fulvio Forni

摘要:

变量被约束为正的系统允许计算有效的控制设计。我们将这些结果推广到保留锥不变的线性系统。这是比正系统更广泛的一类系统。我们重温经典的正线性系统的稳定性和耗散性的结果,并显示如何扩展线性规划的可扩展条件可以扩展到锥不变的线性系统。我们的结果说明了可扩展的质量弹簧系统的稳定控制器设计。

英文摘要:

Systems whose variable are constrained to be positive allow computationally efficient control design. We generalize these results to linear systems which leave a cone invariant. This is a wider class of systems than positive systems. We revisit classical results on stability and dissipativity of positive linear systems and show how scalable conditions on linear programming can be extended to cone invariant linear systems. Our results are illustrated by scalable stabilizing controller design for mass-spring systems.

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