线性离散系统控制设计中的极点放置LMI约束

2013 International Conference on Process Control (PC) Pub Date : 2013-06-18 DOI:10.1109/PC.2013.6581385

D. Krokavec, A. Filasová

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引用次数: 15

摘要

研究了离散线性系统的约束极点配置控制问题。用线性矩阵不等式的形式给出了复平面上d稳定圆区域的可行性的充分条件。此外，在状态空间控制的情况下，证明了用二次积分状态约束等效地表达了公式化的极点布置问题，并将其添加到Lyapunov函数中。最后，将该原理扩展到具有多面体不确定性的系统。

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On pole placement LMI constraints in control design for linear discrete-time systems

The paper addresses the problem of constrained pole placement control for discrete-time linear systems. Sufficient conditions for feasibility are outlined in terms of linear matrix inequalities for a D-stable circular region in the complex ś plain. In addition, in the case of state-space control, it is proven that by this way formulated pole placement problem is equivalently uttered using an quadratic integral state constraint, being added to Lyapunov function. Finally, the proposed principle is expanded for systems with polytopic uncertainties.

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2013 International Conference on Process Control (PC)

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