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Sensitivity based trajectory following control damping methods
1. | McCoy School of Engineering, Midwestern State University, 3410 Taft Blvd., Wichita Falls, TX 76308, United States |
References:
[1] |
M. Ahmad and J. Osman, Robust sliding mode control for robot manipulator tracking problem using a proportional-integral switching surface, Proc. of the Student Conference on Research and Development, Putrajaya, Malaysia, (2003), 29-35. |
[2] |
M. Chen, Y. Hwang and M. Tomizuka, A state dependent boundary layer design for sliding mode control, IEEE Trans. Aut. Cont., 47 (2002), 1677-1681.
doi: 10.1109/TAC.2002.803534. |
[3] |
M. Corless and G. Leitmann, Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems, IEEE Trans. Aut., ac-26 (1981), 1139-1134. |
[4] |
R. Figliola and D. Beasely, "Theory and Design for Mechanical Measurements," 4th Edition, Wiley, New York, 2006. |
[5] |
B. Goh, Algorithms for unconstrained optimization via control theory , Journal of Optimization Theory and Applications, 92 (1997), 581-604.
doi: 10.1023/A:1022607507153. |
[6] |
W. Grantham and T. Vincent, "Modern Control Systems Analysis and Design," Wiley, New York, 1993. |
[7] |
W. Grantham, Trajectory following optimization by gradient transformation differential equations, Proc. 42nd IEEE Conf. on Decision and Control, Maui, HI, Dec. 9-12, 003. |
[8] |
W. Grantham, Some necessary conditions for steepest descent controllability, Proceedings of the 1st American Controls Conference, Alexandria, VA, 1982. |
[9] |
D. McDonald and W. Grantham, Singular perturbation trajectory following methods for min-max differential games, in "Advances in Dynamic Game Theory and Applications" (eds. S. Jorgensen, T. Vincent, and M. Quincampoix), Birkhauser, Boston, 2006, 659-678. |
[10] |
T. Vincent and W. Grantham, Trajectory following methods in control system design, Journal of Global Optimization, 23 (2002), 267-282.
doi: 10.1023/A:1016530713343. |
[11] |
T. Vincent, B. Goh and K. Teo, Trajectory-following algorithms for min-max optimization problems, Journal of Optimization Theory and Application, 75 (1992), 501-519.
doi: 10.1007/BF00940489. |
[12] |
T. Vincent and W. Grantham, "Nonlinear and Optimal Control Systems," Wiley, New York, 1997. |
show all references
References:
[1] |
M. Ahmad and J. Osman, Robust sliding mode control for robot manipulator tracking problem using a proportional-integral switching surface, Proc. of the Student Conference on Research and Development, Putrajaya, Malaysia, (2003), 29-35. |
[2] |
M. Chen, Y. Hwang and M. Tomizuka, A state dependent boundary layer design for sliding mode control, IEEE Trans. Aut. Cont., 47 (2002), 1677-1681.
doi: 10.1109/TAC.2002.803534. |
[3] |
M. Corless and G. Leitmann, Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems, IEEE Trans. Aut., ac-26 (1981), 1139-1134. |
[4] |
R. Figliola and D. Beasely, "Theory and Design for Mechanical Measurements," 4th Edition, Wiley, New York, 2006. |
[5] |
B. Goh, Algorithms for unconstrained optimization via control theory , Journal of Optimization Theory and Applications, 92 (1997), 581-604.
doi: 10.1023/A:1022607507153. |
[6] |
W. Grantham and T. Vincent, "Modern Control Systems Analysis and Design," Wiley, New York, 1993. |
[7] |
W. Grantham, Trajectory following optimization by gradient transformation differential equations, Proc. 42nd IEEE Conf. on Decision and Control, Maui, HI, Dec. 9-12, 003. |
[8] |
W. Grantham, Some necessary conditions for steepest descent controllability, Proceedings of the 1st American Controls Conference, Alexandria, VA, 1982. |
[9] |
D. McDonald and W. Grantham, Singular perturbation trajectory following methods for min-max differential games, in "Advances in Dynamic Game Theory and Applications" (eds. S. Jorgensen, T. Vincent, and M. Quincampoix), Birkhauser, Boston, 2006, 659-678. |
[10] |
T. Vincent and W. Grantham, Trajectory following methods in control system design, Journal of Global Optimization, 23 (2002), 267-282.
doi: 10.1023/A:1016530713343. |
[11] |
T. Vincent, B. Goh and K. Teo, Trajectory-following algorithms for min-max optimization problems, Journal of Optimization Theory and Application, 75 (1992), 501-519.
doi: 10.1007/BF00940489. |
[12] |
T. Vincent and W. Grantham, "Nonlinear and Optimal Control Systems," Wiley, New York, 1997. |
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