Constrained Nonlinear Polynomial Time-Delay Systems: A Sum-of-Squares Approach to Estimate the Domain of Attraction
Constrained Nonlinear Polynomial Time-Delay Systems: A Sum-of-Squares Approach to Estimate the Domain of Attraction
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DOI：
10.1109/tac.2012.2190189
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发表时间：
2012-03
影响因子：
6.8
通讯作者：
G. Franzé;D. Famularo;A. Casavola
中科院分区：
文献类型：
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作者：
G. Franzé;D. Famularo;A. Casavola
提出了一种基于平方和(SOS)的方法来估计具有输入约束的受控非线性多项式时滞系统的吸引域。结果表明，半代数几何方法和半定规划方法的结合为这类非线性时滞系统的基于Lyapunov的控制系统分析和设计提供了一个有效的工具。具体地说，提出了一种分两步进行的过程，首先推导出满足规定约束的Lyapunov-Krasovskii函数/控制器对，然后计算DOA的估计。
A sum-of-squares (SOS) approach is proposed to estimate the domain of attraction (DoA) of regulated nonlinear polynomial time-delay systems subject to input constraints. It will be shown that the joint use of semialgebraic geometric arguments and semidefinite programming methods provides an efficient tool for Lyapunov-based control system analysis and design for this class of nonlinear delayed systems. Specifically, a two-step procedure is presented which consists of deriving first a Lyapunov-Krasovskii functional/controller pair complying with the prescribed constraints and computing then an estimate of the DoA.