Feedback control of parallel-flow heat exchanger equations using a forwardstepping method
Feedback control of parallel-flow heat exchanger equations using a forwardstepping method
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发表时间：
2009-12
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通讯作者：
H. Sano;S. Nakagiri
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作者：
H. Sano;S. Nakagiri
本文研究具有分布输入和边界输入的平行流热交换方程的反馈控制问题。作为系统的分布输入，首先在零边界输入下应用输出反馈控制。然后证明了描述闭环系统的C 0-半群满足谱决定增长条件。接下来，我们应用forwardstepping方法的边界输入的设计。我们的主要结果表明，对于任何初始数据属于一个线性空间，系统的解在有限时间内为零下的输出反馈控制和控制律forwardstepping方法。
In this paper, we treat feedback control of parallel-flow heat exchanger equations with distributed and boundary inputs. As the distributed inputs to the system, the output feedback control is first applied under zero boundary inputs. Then, it is shown that the C0-semigroup describing the closed-loop system satisfies the spectrum determined growth condition. Next, we apply a forwardstepping method to the design of the boundary inputs. Our main result shows that, for any initial data belonging to a linear space, the solution of the system becomes zero in finite time under both the output feedback control and the control law derived by the forwardstepping method.