Conic-Sector-based control to circumvent passivity violations
Conic-Sector-based control to circumvent passivity violations
复制标题
基于圆锥扇区的控制以避免被动性违规
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
J. Forbes
中科院分区：
文献类型：
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作者：
L. Bridgeman;J. Forbes
本文探讨了圆锥扇形定理在稳定性分析和控制器设计中的应用。确保遭受被动性违规的工厂的输入输出稳定性是这项工作背后的动机。考虑到先前设计的控制器和设备经历了（部分未知的）无源性违规，提出了一种新颖的扇区边界选择程序。该过程可用于通过圆锥扇形定理评估违规对象和原始控制器的输入输出稳定性。如果不能保证输入输出稳定性，建议采用两种原始控制器合成方法：一种是模仿H2控制器而设计的，另一种是受到严格正实控制器合成的启发。两种方法都通过在适当的圆锥扇区内选择控制器来保证输入输出稳定性，并且仅涉及易于求解的线性矩阵不等式和代数 Riccati 不等式的评估。提供数值模拟作为概念证明。
This paper explores the use of the Conic Sector Theorem for both stability analysis and controller design. Ensuring input-output stability of plants experiencing passivity violations is the motivation behind this work. Given a previously designed controller and plant that has experienced a (partially unknown) passivity violation, a novel sector bound selection procedure is presented. This procedure can be used to assess input-output stability of the violated plant and original controller via the Conic Sector Theorem. Should input-output stability not be ensured, two original controller synthesis methods are suggested: one is designed to mimic the H2 controller, and the other is inspired by strictly positive real controller synthesis. Both methods guarantee input-output stability by selecting controllers within appropriate conic sectors, and involve only the evaluation of readily solvable linear matrix inequalities and algebraic Riccati inequalities. A numerical simulation is provided as a proof of concept.