Modes with switchings of increasing frequency in the problem of controlling a robot

DOI10.1016/0021-8928(88)90008-1zbMath0711.70037OpenAlexW2081207185MaRDI QIDQ922767

M. I. Zelikin, V. F. Borisov

Publication date: 1988

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(88)90008-1

zbMATH Keywords

optimal controlhigh-speed responsepiecewise-smooth manifoldtwo-component manipulator

Mathematics Subject Classification ID

Control of mechanical systems (70Q05) Kinematics of mechanisms and robots (70B15)

Related Items (7)

The time-optimal control of the bending of a plane two-link mechanism ⋮ Synthesis in problems of optimal control containing trajectories with participating switchings and singular trajectories of the second order ⋮ Optimal control. Transl. from the Russian ⋮ Global properties of the triangular systems in the singular case ⋮ Accumulation of switchings in distributed parameter problems ⋮ Fuller's phenomenon: review ⋮ Singular optimal regimes in problems of mathematical economics

Cites Work

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• The problem of the optimum rapid braking of an axisymmetric solid rotating around its centre of mass
• Structural stability in the design of optimal trajectories in Fuller's problem
• Chattering arcs and chattering controls
• A three-dimensional problem of diffraction of an elastic wave at a sharp edge
• Switchings of optimal controls and the equation $y^{(4)}+\vert y\vert^{\alpha}\,sign\,y=0$, $0<\alpha <1$
• Time-optimal motions of robots in assembly tasks
• Singular optimal controls for second-order saturating systems
• Necessary conditions for singular extremals

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