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Gain Scheduled Control for Disturbance Attenuation of Systems with Bounded Control Input - Theory  

Kang Min-Sig (경원대학교 기계공학과)
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Abstract
A new gain-scheduled control design is proposed to improve disturbance attenuation for systems with bounded control input. The state feedback controller is scheduled according to the proximity to the origin of the state of the plant. The controllers is derived in the framework of linear matrix inequality(LMI) optimization. This procedure yields a linear time varying control structure that allows higher gain and hence higher performance controllers as the state 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.
Keywords
Input saturation; Disturbance; Gain schedule-control; Linear Matrix Inequality (LMI); $L_2-gain$;
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Times Cited By KSCI : 3  (Citation Analysis)
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1 Leith, D. J. and Le ithe ad, W. E., 'Survey of Gain-scheduling Analysis and Design,' Int. J. of Control, Vol. 73, No. 11, pp. 1001-1025, 2000   DOI
2 Boyd, S., El Ghaoui, L., Feron, E. and Balakrishnan, V., 'Linear Matrix Inequalities in System and Control Theory,' SIAM Books, Philadelphia, 1994
3 Kim, Y. B. and Byeon, J. H., 'Robust Decoupling Control of Ship Propulsion System with CPP,' J. of KSPE, Vol. 15, No.9, pp. 33-42, 1998   과학기술학회마을
4 Keh, J. E. and Lee, M. H., 'Robust Controller Design for a Stabilized Head Mirror,' Int. J. of Precision and Manufacturing, Vol. 3, No.4, pp. 78-86, 2002
5 Srivastava, S. and Jabbari, F., 'Scheduled Controllers for Disturbance Attenuation of Systems with Bounded Inputs,' Proc. of the American Control Conference, pp. 735-739, 2000   DOI
6 Kose, J. E. and Jabbari, F., 'Scheduled Controllers for Linear Systems with Bounded Actuators,' Automatica, Vol. 39, No.8, pp. 1377-1387, 2003   DOI   ScienceOn
7 Bernstein, D. S. and Michel, A. N., 'A Chronological Bibliography on Saturating Actuators,' Int. J. of Robust and Nonlinear Control, Vol. 5, pp. 375-380, 1995   DOI
8 Stoorvogel, A. A. and Saberi, A. (Eds.), Special Issue on 'Control Problems with Constraint,' Int. J. of Robust and Nonlinear Control, Vol. 9, pp. 583-734, 1999   DOI   ScienceOn
9 Lin, Z. and Saberi, A., 'A Semi-global Low-and-High Gain Design Technique for Linear Systems with Input Saturation - Stabilization and Disturbance Rejection,' Int. J. of Robust and Nonlinear Control, Vol. 5, pp. 381-398, 1995   DOI
10 Lin, Z., Saberi, A. and Teel, A. R., 'Simultaneous Lp-stabilization and Internal Stabilization of Linear Systems Subject to Input Saturation - State Space Feedback Case,' Systems and Control Letters, Vol. 25, pp. 219-226, 1995   DOI   ScienceOn
11 Nguyen, T. and Jabbari, F., 'Disturbance Attenuation for LPV Systems with Bounded Inputs,' Proc. of the American Control Conference, pp. 1543-1547, 1998
12 Nguyen, T. and Jabbari, F., 'Disturbance Attenuation for Systems with Input Saturation: An LMI Approach,' IEEE Trans. on Automatic Control, Vol. 44, No.4, pp. 852-857, 1999   DOI   ScienceOn
13 Nagpal, K., Abedor, J. and Poolla, K., 'An LMI Approach to Peak-Peak Gain Minimization: Filtering and Control,' Proc. of the American Control Conference, pp. 742-746, 1994