TY - GEN

T1 - Control design of linear systems with variable time-delay based on hysteresis-based switching algorithms and semi-discretization

AU - Sheng, Jie

AU - Li, Haitao

AU - Shao, Chenhui

AU - Han, Keyong

AU - Chne, Zonghai

PY - 2010/12/22

Y1 - 2010/12/22

N2 - We put forward a new control method combined with semi-discretization and the hysteresis-based switching algorithms for linear system with time-varying delay. Semi-discretization method proposes to discretize the time-delay and consider it to be a constant in a switching period, and treat the rest of the variables as continuous, so the system equation can be described by an ordinary differential equation. Using semi-discretization method, we can design an optimal controller for the system at a specific time. Obviously, optimal controllers vary at different time-delays. Since the time-delay varies with time going, we need to switch among different controllers in order to keep the system stable. As to how to switch, we introduce the hysteresis-based switching algorithm. Moreover, a series of simulation results have proved that this new method is able to give a fine performance in controlling such systems.

AB - We put forward a new control method combined with semi-discretization and the hysteresis-based switching algorithms for linear system with time-varying delay. Semi-discretization method proposes to discretize the time-delay and consider it to be a constant in a switching period, and treat the rest of the variables as continuous, so the system equation can be described by an ordinary differential equation. Using semi-discretization method, we can design an optimal controller for the system at a specific time. Obviously, optimal controllers vary at different time-delays. Since the time-delay varies with time going, we need to switch among different controllers in order to keep the system stable. As to how to switch, we introduce the hysteresis-based switching algorithm. Moreover, a series of simulation results have proved that this new method is able to give a fine performance in controlling such systems.

KW - Hysteresis-based switching algorithms

KW - Linear system with time-varying delay

KW - Nonlinear control

KW - Semi-discretization

UR - http://www.scopus.com/inward/record.url?scp=78650252163&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650252163&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:78650252163

SN - 9787894631046

T3 - Proceedings of the 29th Chinese Control Conference, CCC'10

SP - 363

EP - 368

BT - Proceedings of the 29th Chinese Control Conference, CCC'10

T2 - 29th Chinese Control Conference, CCC'10

Y2 - 29 July 2010 through 31 July 2010

ER -