Application of a method of averaging to the study of dithers in non-linear systems

DOI10.1080/00207178308933094zbMath0522.93035OpenAlexW2019402518MaRDI QIDQ3674490

Shahkar Mossaheb

Publication date: 1983

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207178308933094

zbMATH Keywords

averaging methodditherunity feedback system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Averaging method for ordinary differential equations (34C29) Growth and boundedness of solutions to ordinary differential equations (34C11) Analytic circuit theory (94C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Control/observation systems governed by ordinary differential equations (93C15)

Related Items

A survey of models, analysis tools and compensation methods for the control of machines with friction ⋮ Stability of dithered non-linear systems with backlash or hysteresis† ⋮ Averaging of nonsmooth systems using dither ⋮ Optimal controller for dithered systems with backslash or hysteresis ⋮ Fuzzy control of dithered chaotic systems via neural-network-based approach ⋮ T-S fuzzy control for dithered nonlinear singularly perturbed systems with multiple time delays ⋮ Robust fuzzy controller design for nonlinear multiple time-delay systems by dithers ⋮ \(H_{\infty}\) neural-network-based discrete-time fuzzy control of continuous-time nonlinear systems with dither ⋮ Robust fuzzy stabilization of dithered chaotic systems using island-based random optimization algorithm ⋮ Robustness design of fuzzy controllers for nonlinear multiple time-delay singularly perturbed systems: using dither as auxiliary ⋮ Optimal \(H^\infty\) fuzzy control for nonlinear multiple time-delay interconnected systems: using dithers as auxiliaries ⋮ Asymptotic analysis of the dither effect in systems with friction ⋮ Sensorless position estimation and control of permanent-magnet synchronous motors using a saturation model ⋮ Bifurcations from nondegenerate families of periodic solutions in Lipschitz systems ⋮ Robust controller synthesis in non–linear multivariable systems: using dither as auxiliary

Cites Work

• On Existence of Periodic Motions in Nonlinear Control Systems with Periodic Inputs
• The Circle Criterion and the $L^p$ Stability of Feedback Systems
• Describing functions revisited
• Dither in nonlinear systems
• Spurious predictions of limit cycles in a non-linear feedback system by the describing function method
• Small Parameter Theory: The Method of Averaging
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