论文标题
固定阶的强h-触发能力控制与时间延期的互连系统
Fixed-order strong H-infinity control of interconnected systems with time-delays
论文作者
论文摘要
我们为通用时间延迟系统设计固定顺序强的H-侵蚀控制器。设计人员选择控制器顺序，并可能在控制器中引入恒定的时间延期。我们代表植物的闭环系统和控制器作为延迟差异代数方程（DDAE）。该表示形式涉及系统与时间延期之间的任何互连，而无需任何消除技术。我们提出了一种数值算法，以计算DDAE的强h-触发性规范，这对任意小的延迟扰动是可靠的，这与标准的H-触发范围不同。我们使用该算法和相对于控制器参数的强h-荷兰标准的梯度来优化闭环系统的强h-界规范。我们通过规定的订单或结构调整控制器参数和设计H-侵点控制器。
We design fixed-order strong H-infinity controllers for general time-delay systems. The designer chooses the controller order and may introduce constant time-delays in the controller. We represent the closed-loop system of the plant and the controller as delay differential algebraic equations (DDAEs). This representation deals with any interconnection of systems with time-delays without any elimination techniques. We present a numerical algorithm to compute the strong H-infinity norm for DDAEs which is robust to arbitrarily small delay perturbations, unlike the standard H-infinity norm. We optimize the strong H-infinity norm of the closed-loop system based on non-smooth, non-convex optimization methods using this algorithm and the computation of the gradient of the strong H-infinity norm with respect to the controller parameters. We tune the controller parameters and design H-infinity controllers with a prescribed order or structure.
