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http://dx.doi.org/10.5302/J.ICROS.2007.13.10.1000

[ H2 ] Control of Uncertain Systems with Actuator Saturation  

Choi, Hyoun-Chul (아주대학교 전자공학부)
Hong, Suk-Kyo (아주대학교 전자공학부)
Chwa, Dong-Kyoung (아주대학교 전자공학부)
Publication Information
Journal of Institute of Control, Robotics and Systems / v.13, no.10, 2007 , pp. 1000-1006 More about this Journal
Abstract
This paper presents an LMI-based method to design a saturated state-feedback $H_2$ controller for uncertain systems with actuator saturation. Specifically, the paper proposes a sufficient condition such that the system under norm-bounded uncertainties and actuator saturation is asymptotically stable and the $H_2$-norm of the system has an upper-bound. The resulting condition is further utilized to solve a convex optimization problem specified in the context of $H_2$-norm minimization, whose solution yields a saturated $H_2$ controller. A numerical example is presented to show the effectiveness of the proposed method.
Keywords
actuator saturation; $H_2$ control; uncertain system; convex optimization; linear matrix inequality;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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1 C. E. de Souza, A. Trofino, and J. de Oliveira, 'Parametric Lyapunov function approach to $H_2$ analysis and control of linear parameter-dependent systems,' IEE Proc.-Control Theory Appl., vol. 150, no. 5, pp. 501-508, 2003
2 R. Yang, L. Lu, and L. Xie, 'Robust $H_2$ and $H_{\infty}$, control of discrete-time systems with polytopic uncertainties via dynamic output feedback,' Int. J. Control, vol. 78, no. 16, pp. 1285-1294, 2005   DOI   ScienceOn
3 D. Banjerdpongchai and J. P. How, 'Parametric robust $H_2$ control design with generalized multipliers via LMI synthesis,' Int. J. Control, vol. 70, no. 3, pp. 481-503, 1998   DOI
4 A. Saberi, P. Sannuti, and B. M Chen, $H_2$ Optimal Control, Prentice Hall International, London, 1995
5 S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia, 1994
6 H. Fang, Z. Lin, and T. Hu, 'Analysis of linear systems in the presence of actuator saturation and L2-disturbances,' Automatica, vol. 40, pp. 1229-1238, 2004   DOI   ScienceOn
7 P. Ghahinet, A. Nemirovskii, A. J. Laub, and M Chillali, MATLAB LMI Control Toolbox User's Guide, The Mathworks, Natick, 1995
8 H.-C. Choi, S. Jang, D. Chwa, and S.-K. Hong, 'Guaranteed cost control of uncertain systems subject to actuator saturation,' Proc. SICE-ICASE Int. Joint Conference, pp. 994-999, 2006
9 A. A. Stoorvogel, 'The robust $H_2$ control problem: a worst-case design,' IEEE Trans. Automat. Contr., vol. 38, no. 9, 1993
10 J. M. Gomes da Silva Jr., C. Paim, and E. B. Castelan, 'LMI-based framework for the synthesis of saturating control laws,' Revista Controle & Automacao, vol. 12, no. 3, pp. 171-177, 2001
11 H. Hindi and S. Boyd, 'Analysis of linear systems with saturation using convex optimization,' Proc. IEEE Conf. Decision and Control (CDC), pp. 903-908, 1998
12 J.-H. Kim and Z. Bien, 'Robust stability of uncertain linear systems with saturating actuators,' IEEE Trans. Automat. Contr., vol. 39, no. 1, pp. 202-207, 1994   DOI   ScienceOn
13 T. Nguyen and F. Jabbari, 'Output feedback controllers for disturbance attenuation with actuator amplitude and rate saturation,' Automatica, vol. 36, pp. 1339-1346, 2000   DOI   ScienceOn
14 G. Feng and D. Sun, 'Generalized $H_2$ controller synthesis of fuzzy dynamic systems based on piecewise Lyapunov functions,' IEEE Trans. Circuits and Systems-I: Fundamemtal Theory and Applications, vol. 49, no. 12, pp. 1843-1850, 2002   DOI   ScienceOn
15 T. Hu, Z. Lin, and B. M. Chen, 'An analysis and design method for linear systems subject to actuator saturation and disturbance,' Automatica, vol. 38, pp. 351-359, 2002   DOI   ScienceOn
16 T. Hu, Z. Lin, and B. M. Chen, 'Analysis and design for discrete-time linear systems subject to actuator saturation,' Syst. Contr. Lett., vol. 45, pp. 97-112, 2002   DOI   ScienceOn
17 Y. Y. Cao, Z. Lin, and Y. Shamash, 'Set invariance analysis and gain-scheduling control for LPV systems subject to actuator saturation,' Syst. Contr. Lett., vol. 46, pp. 137-151, 2002   DOI   ScienceOn
18 L. Yu, Q.-L. Han, and M-X. Sun, 'Optimal guaranteed cost control of linear uncertain systems with input constraints,' Int. J. Control, Automation, and Systems, vol. 3, no. 3, pp. 397-402, 2005   과학기술학회마을