基于有界实平衡的二维离散系统降阶

Proceedings of the 27th IEEE Conference on Decision and Control Pub Date : 1988-12-07 DOI:10.1109/CDC.1988.194503

W.-s. Lu

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引用次数: 1

摘要

提出了一种基于有界实数平衡的二维离散系统降阶方法。为了降低一维连续时间系统的阶数，首先引入了BR平衡的概念。结果表明，如果所考虑的二维离散系统满足二维李雅普诺夫条件，则BR平衡近似产生稳定的低阶二维系统，且近似误差相当小。

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Order reduction of 2-D discrete systems via bounded real balancing

A novel order-reduction method for 2-D discrete systems based on bounded real (BR) balancing is presented. The concept of BR balancing was first introduced to reduce the order of 1-D continuous-time systems. It is shown that if the 2-D discrete system considered satisfies the 2-D Lyapunov condition, the BR balanced approximation then yields a stable low-order 2-D system with a reasonably small approximation error.<>

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Proceedings of the 27th IEEE Conference on Decision and Control

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