Full‐block multipliers for repeated, slope‐restricted scalar nonlinearities
Full‐block multipliers for repeated, slope‐restricted scalar nonlinearities
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DOI：
10.1002/rnc.3751
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发表时间：
2017-11
影响因子：
3.9
通讯作者：
M. Fetzer;C. Scherer
中科院分区：
文献类型：
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作者：
M. Fetzer;C. Scherer
本文在积分二次约束框架内全面处理了全块乘子，用于包含重复、斜率受限标量非线性的反馈系统的稳定性分析。我们开发了一个新的稳定性结果，在其应用中提供了更大的灵活性，因为它允许包含一般的Popov和Yakubovich标准，结合积分二次约束理论中完善的Circle和Zames‐Falb稳定性测试。一个特别的重点在于制定的稳定性准则的满块乘数，其中一些是新的，因此通常涉及较少的保守性比目前的方法。此外，一个新的渐近精确参数化的全块Zames-Falb乘数，允许利用这个稳定性测试的完整潜力。版权所有© 2017约翰威利父子有限公司
This paper provides a comprehensive treatment of full‐block multipliers within the integral quadratic constraints framework for stability analysis of feedback systems containing repeated, slope‐restricted scalar nonlinearities. We develop a novel stability result that offers more flexibility in its application because it allows for the inclusion of general Popov and Yakubovich criteria in combination with the well‐established Circle and Zames‐Falb stability tests within integral quadratic constraint theory. A particular focus lies on the formulation of stability criteria in terms of full‐block multipliers, some of which are new, and thus typically involve less conservatism than current methods. Furthermore, a new asymptotically exact parametrization of full‐block Zames‐Falb multipliers is given that allows to exploit the complete potential of this stability test. Copyright © 2017 John Wiley & Sons, Ltd.