On practical stabilization of systems with delayed relay control

Authors:
A. E. Polyakov
Affiliations:
Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
Venue:
Automation and Remote Control
Year:
2010

Citing 5
Cited 0

Nonlinear Control Systems

Nonlinear Control Systems
Time-Delay Systems: Analysis, Optimization and Applications

Time-Delay Systems: Analysis, Optimization and Applications
Robust Semiglobal Stabilization of the Second Order System by Relay Feedback with an Uncertain Variable Time Delay

SIAM Journal on Control and Optimization
Technical Communique: Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation

Automatica (Journal of IFAC)
Correspondence: Comments on "Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation"

Automatica (Journal of IFAC)

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Abstract

Consideration was given to the problems of local and semiglobal practical stabilization of the linear plants under uncertainty using the relay control with indeterminate delay. The necessary and sufficient existence conditions, as well as the algorithms to design the stabilizing control, were given. The problem of stabilization of the wheel-controlled flipped pendulum was considered by way of a numerical example.