Controller reduction by H ∞ balanced truncation for infinite-dimensional, discrete-time systems
Controller reduction by H ∞ balanced truncation for infinite-dimensional, discrete-time systems
复制标题
无限维离散时间系统的 H ∞ 平衡截断控制器简化
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
Tilman Selig
中科院分区：
文献类型：
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作者：
Tilman Selig
我们考虑了Lyapunov和H∞平衡以及无限维离散线性系统的平衡截断模型约简。提出了一种状态空间变换的泛函解析方法。进一步，我们证明了为H∞平衡截断系统设计的有限维H∞控制器在模型约简过程产生的误差足够小的情况下，可以使原无限维系统稳定。
We consider Lyapunov and H ∞ balancing as well as model reduction by balanced truncation for infinite-dimensional, discrete-time linear systems. A functional analytic approach to state space transformation leading to balanced realization is presented. Furthermore, we show that a finite-dimensional H ∞ controller designed for a H ∞ balanced and truncated system stabilizes the original infinite-dimensional system, provided the error made by this model reduction procedure is small enough.