제어입력 크기제한을 갖는 시스템에서 이득 스케쥴 상태되먹임-외란앞먹임 제어 - 이론

다국어 초록 (Multilingual Abstract)

A new optimal state feedback and disturbance feedforward control design in the sense of minimizing L₂-gain from disturbance to control output is proposed for disturbance attenuation of systems with bounded control input and measurable disturbance. The controller is derived in the framework of linear matrix inequality(LMI) optimization. A gain scheduled state feedback and disturbance feedforward control design is also suggested to improve disturbance attenuation performance. The control gains are scheduled according to the proximity to the origin of the state of the plant and the magnitude of disturbance. This procedure yields a stable linear time varying control structure that allows higher gain and hence higher performance controller as the state and the disturbance move closer to the origin. The main results give sufficient conditions for the satisfaction of a parameter-dependent performance measure, without violating the bounded control input condition.

참고문헌 (Reference)

1 Stoorvogel, "The Challenge of Constraint Int" 14 (14): 1085-, 2004

2 Leith, "Survey of Gain-scheduling Analysis and Design Int" 73 (73): 1001-1025, 2000

3 Lin, "Simultaneous Lp-stabilization and Internal Stabilization of Linear Systems Subject to Input Saturation - State Space Feedback Case" 25 (25): 219-226, 1995

4 Kose, "Scheduled Controllers for Linear Systems with Bounded Actuators" 39 (39): 1377-1387, 2003

5 Srivastava, "Scheduled Controllers for Disturbance Attenuation of Systems with Bounded Inputs" 2 : 735-739, 2000

6 Boyd, "Linear Matrix Inequalities in System and Control Theory" 1-35, 1994

7 Kang, "Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Theory" 23 (23): 81-87, 2006

8 Kang, "Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Application to Stabilization Control" 23 (23): 88-95, 2006

9 Nguyen, "Disturbance Attenuation for Systems with Input Saturation: An LMI Approach" 44 (44): 852-857, 1999

10 Nguyen, "Disturbance Attenuation for LPV Systems with Bounded Inputs" 1543-1547, 1998

11 of the American Control Conference, "An LMI Approach to Peak-Peak Gain Minimization" 742-746, 1994

12 Lin, "A Semi-global Low-and-High Gain Design Technique for Linear Systems with Input Saturation - Stabilization and Disturbance Rejection Int" 5 (5): 381-398, 1995

13 Bernstein, "A Chronological Bibliography on Saturating Actuators Int" 5 (5): 375-380, 1995