Full-block multipliers for repeated, slope-restricted scalar nonlinearities. (English) Zbl 1386.93228
Summary: 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.
MSC:
| 93D10 | Popov-type stability of feedback systems |
| 93D20 | Asymptotic stability in control theory |
| 93D15 | Stabilization of systems by feedback |
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 93C05 | Linear systems in control theory |
| 93C10 | Nonlinear systems in control theory |
Keywords:
absolute stability analysis; integral quadratic constraints; slope-restricted nonlinearitiesReferences:
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