Slow periodic motions with internal sliding modes in variable structure systems

DOI10.1080/00207170110120026zbMath1009.93055OpenAlexW2158983032MaRDI QIDQ3151652

Leonid M. Fridman

Publication date: 16 October 2002

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

Full work available at URL: https://doi.org/10.1080/00207170110120026

zbMATH Keywords

boundary layersasymptotic representationsliding modesboundary functionsexistence and stability of periodic solutions.singularly perturbed relay system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20) Variable structure systems (93B12)

Related Items (7)

Accurate and efficient simulations of Hamiltonian mechanical systems with discontinuous potentials ⋮ Piecewise-smooth slow-fast systems ⋮ Persistence of periodic orbits with sliding or sewing by singular perturbation ⋮ Small-scale instabilities in dynamical systems with sliding ⋮ Variable structure control of synchronous generator: singularly perturbed analysis ⋮ Robust stabilization approach and \(H_{\infty}\) performance via static output feedback for a class of nonlinear systems ⋮ Boundary-equilibrium bifurcations in piecewise-smooth slow-fast systems

Cites Work

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• Sliding modes in control and optimization. Transl. from the Russian
• Fast switches in relay feedback systems
• Periodic sliding motions
• Sliding-mode control for singularly perturbed systems
• Sliding mode control in dynamic systems
• Sliding surface design for singularly perturbed systems
• An averaging approach to chattering
• Robust Throttle Control of Automotive Engines: Theory and Experiment

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