On the design and synthesis of limit cycles using switching linear systems

DOI10.1080/00207170903490672zbMath1197.93094OpenAlexW2024482801MaRDI QIDQ4932805

Colaneri, Patrizio, I. Boniolo, Martin Corless, Paolo Bolzern, Robert N. Shorten

Publication date: 7 October 2010

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

Full work available at URL: https://doi.org/10.1080/00207170903490672

zbMATH Keywords

limit cyclesswitched systemsLur'e systemselectrical networksdescribing functions

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Pole and zero placement problems (93B55) Synthesis problems (93B50) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (4)

An extension of the KYP-lemma for the design of state-dependent switching systems with uncertainty ⋮ Existence and stability of limit cycles in the model of a planar passive biped walking down a slope ⋮ Generating oscillations in inertia wheel pendulum via two‐relay controller ⋮ Bifurcation of limit cycles from a switched equilibrium in planar switched systems

Cites Work

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• Digital optimal reduced-order control of pulse-width-modulated switched linear systems.
• Stability and Stabilization of Continuous‐Time Switched Linear Systems
• Describing functions revisited
• On limit cycles and the describing function method in periodically switched circuits
• Basic problems in stability and design of switched systems
• On common quadratic lyapunov functions for pairs of stable lti systems whose system matrices are in companion form
• Stability Criteria for Switched and Hybrid Systems
• Justification of the Describing Function Method

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