论文信息 - On practical stabilization of systems with delayed relay control

On practical stabilization of systems with delayed relay control

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.

A. Polyakov | A. E. Polyakov | Andrey Polyakov

[1] Young-Hoon Roh,et al. Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation , 1999, Autom..

[2] M. Malek-Zavarei,et al. Time-Delay Systems: Analysis, Optimization and Applications , 1987 .

[3] Young-Hoon Roh,et al. Sliding Mode Control for Robust Stabilization of Uncertain Input-Delay Systems , 2000 .

[4] Leonid Fridman,et al. Nonlocal stabilization via delayed relay control rejecting uncertainty in a time delay , 2004 .

[5] Leonid Fridman,et al. Robust eigenvalue assignment for uncertain delay control systems , 2001 .

[6] J. K. Hedrick,et al. Robust Throttle Control of Automotive Engines: Theory and Experiment , 1996 .

[7] A. Isidori. Nonlinear Control Systems , 1985 .

[8] A.G. Loukianov,et al. Integral Sliding Mode Control for Systems with Time Delay , 2006, International Workshop on Variable Structure Systems, 2006. VSS'06..

[9] Sing Kiong Nguang,et al. Comments on "Robust stabilization of uncertain input-delay systems by sliding mode control with delay compensation" , 2001, Autom..

[10] Jean-Pierre Richard,et al. Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[11] Leonid M. Fridman,et al. Robust Semiglobal Stabilization of the Second Order System by Relay Feedback with an Uncertain Variable Time Delay , 2008, SIAM J. Control. Optim..