论文标题
以$ \ Mathcal {H} _2 $ -gain-scheduling合成为$ \ mathcal升级到带有完整块尺度的消极性
Lifting to Passivity for $\mathcal{H}_2$-Gain-Scheduling Synthesis with Full Block Scalings
论文作者
论文摘要
我们专注于$ \ mathcal {h} _2 $ - 安排综合问题，用于带有比例的时变参数调度块。最近，我们通过保证$ \ Mathcal {h} _2 $ -Norm的闭环系统的$ \ Mathcal {h} _2 $ norm的有限性提出了一个解决方案，以及带有合适的线性分数工厂和控制器表示的$ \ Mathcal {H} _2 $ -Norm。为了减少保守主义，我们通过设计三角调度函数并引入一种新的提升技术来扩展到全块量表，以实现凸面化。
We focus on the $\mathcal{H}_2$-gain-scheduling synthesis problem for time-varying parametric scheduling blocks with scalings. Recently, we have presented a solution of this problem for $D$- and positive real scalings by guaranteeing finiteness of the $\mathcal{H}_2$-norm for the closed-loop system with suitable linear fractional plant and controller representations. In order to reduce conservatism, we extend these methods to full block scalings by designing a triangular scheduling function and by introducing a new lifting technique for gain-scheduled synthesis that enables convexification.
