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TECHNICAL BRIEFS

A Computational Issue and Modified Formulas for Nonlinear Dissipative Controllers

[+] Author and Article Information
Shr-Shiung Hu

The 202nd Arsenal, C.L.C., P.O. Box 90582, Nankang, Taipei 115, Taiwan e-mail: sean9012@ms45.hinet.net

Pao-Hwa Yang

Department of Mechanical Engineering, Hsiuping Institute of Technology, Dah-Li City, Taichung County 412, Taiwan e-mail: paulyang@mail.hit.edu.tw

B. C. Chang

Department of Mechanical Engineering and Mechanics, Drexel University, Philadelphia, PA 19104 e-mail: bchang@cbis.ece.drexel.edu

J. Dyn. Sys., Meas., Control 125(3), 475-480 (Sep 18, 2003) (6 pages) doi:10.1115/1.1590686 History: Revised November 16, 2000; Revised November 25, 2002; Online September 18, 2003
Copyright © 2003 by ASME
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References

Doyle,  J. C., Glover,  K., Khargonekar,  P. P., and Francis,  B. A., 1989, “State Space Solutions to Standard H2 and H Control Problems,” IEEE Trans. Autom. Control, 34, pp. 831–846.
Van der Schaft,  A. J., 1992, “L2-Gain Analysis of Nonlinear Systems and Nonlinear H Control,” IEEE Trans. Autom. Control, 37, pp. 770–784.
Van der Schaft, A. J., 1996, L2-Gain and Passivity Techniques in Nonlinear Control, Springer, London.
Isidori,  A., and Astolfi,  A., 1992, “Disturbance Attenuation and H-Control Via Measurement Feedback in Nonlinear Systems,” IEEE Trans. Autom. Control, 37(9), pp. 1283–1293.
Ball,  J. A., Helton,  J. W., and Walker,  M. L., 1993, “H Control for Nonlinear Systems with Output Feedback,” IEEE Trans. Autom. Control, 38, pp. 546–559.
Wise, K. A., and Sedwick J. L., 1994, “Successive Approximation Solution of the HJI Equation,” Proceedings of the 33rd IEEE Conference on Decision and Control, Lake Buena Vista, Florida, U.S.A., pp. 1387–1391.
Hu, S. S., Yang, P. H., and Chang, B. C., 1999, “A Successive Algorithm for Solving the Hamilton-Jacobi Equations,” Proceedings of the 1999 American Control Conference, San Diego, California, U.S.A., pp. 2842–2846.
Hu, S. S., Yang, P. H., and Chang, B. C., 1998, “A Computational Issue in Nonlinear H Control,” Proceedings of the 1998 American Control Conference, Philadelphia, Pennsylvania, U.S.A., pp. 3744–3745.
Hu,  S. S., Chang,  B. C., Yeh,  H. H., and Kwatny,  H. G., 2000, “Robust Nonlinear Controller Design for a Longitudinal Flight Control Problem,” the Asian Journal of Control, 2(2), pp. 111–121.
Petersen,  I. R., Anderson,  B. D. O., and Jonckheere,  E. A., 1991, “A First Principles Solution to the Non-singular H Control Problem,” Int. J. Robust Nonlinear Control, 1, pp. 171–185.
Postlethwaite,  I., Gu,  D.-W., and O’Young,  S. D., 1988, “Some Computational Results on Size Reduction in H Design,” IEEE Trans. Autom. Control, 33, pp. 177–185.
Boyd, S., Ghaoui, L. E., Feron, E., and Balakrishnan, V., 1994, Linear Matrix Inequalities in System and Control Theory, SIAM, Philadelphia.
Gahinet, P., Nemirovski, A., Laub, A. J., and Chilali, M., 1995, LMI Control Toolbox User’s Guide for MATLAB, the MathWoks, Inc.
Hu, Shr-Shiung, 1998, Computational Issues in the Design of Robust Nonlinear Controllers, Ph.D. dissertation, Department of Mechanical Engineering and Mechanics, Drexel University, U.S.A.
Helton, J. W., and James, M. R., 1999, ExtendingHControl to Nonlinear Systems: Control of Nonlinear Systems to Achieve Performance Objective, SIAM, Philadelphia.

Figures

Grahic Jump Location
The output responses of the closed-loop system due to 0.5 square pulse inputs
Grahic Jump Location
The output responses of the closed-loop system due to 1.1 square pulse inputs
Grahic Jump Location
The output responses of the closed-loop system due to 1.3 square pulse inputs

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