Robust stability and nonlinear loop-shaping design for hybrid integrator-gain-based control systems

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In this paper, the use of quasi-linear tools for the closed-loop design and analysis of Hybrid Integrator-Gain Systems (HIGS) is considered. A nonlinear motion control design procedure is proposed in which quasi-linear loop-shaping methods, based on describing functions, are combined with rigorous conditions for closed-loop stability. The latter are established by means of multiple piecewise quadratic Lyapunov functions. Admissible functions are found by solving a set of numerically tractable linear matrix inequalities (LMIs). The potential of the robust design method is illustrated by simulation results of a two-mass-spring-damper system.

Original languageEnglish
Title of host publication2019 American Control Conference, ACC 2019
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Number of pages6
ISBN (Electronic)978-1-5386-7926-5
Publication statusPublished - 1 Jul 2019
Event2019 American Control Conference (ACC 2019) - Philadelphia, United States
Duration: 10 Jul 201912 Jul 2019


Conference2019 American Control Conference (ACC 2019)
Abbreviated titleACC2019
Country/TerritoryUnited States
Internet address


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