| Title |
[ H_∞ ] Control of Time-Delayed Linear Systems with Limited Actuator Capacities |
| Authors |
이연규(Yi, Yearn-Gui) ; 김진훈(Kim, Jin-Hoon) |
| Keywords |
Time-delay ; Actuator Saturation ; Lyapunov-Krasovskii Function ; LMI |
| Abstract |
In this paper, we consider the design of H_∞ high-gain state feedback control for time-delayed linear systems with limited actuator capacities. The high-gain control means that the control permits the predetermined degree of saturation. Based on new Lyapunov-Krasovskii functional, we derive a result in the form of matrix inequalities. The matrix inequalities are consisted of LMIs those confirm the positive definiteness of Lyapunov- Krasovskii functional, satisfaction of predetermined degree of saturation, reachable set and L_2 gain constraint. The result is dependent on the bound of time-delay and its rate, predetermined degree of saturation, actuator capacity, and the allowed size of disturbances. Finally, we give a numerical example to show the effectiveness and usefulness of our result. |