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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 
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D. McDonald and W. Grantham, Singular perturbation trajectory following methods for minmax differential games,, in, (2006), 659. Google Scholar 
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T. Vincent and W. Grantham, Trajectory following methods in control system design,, Journal of Global Optimization, 23 (2002), 267. doi: 10.1023/A:1016530713343. Google Scholar 
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show all references
References:
[1] 
M. Ahmad and J. Osman, Robust sliding mode control for robot manipulator tracking problem using a proportionalintegral switching surface,, Proc. of the Student Conference on Research and Development, (2003), 29. Google Scholar 
[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. doi: 10.1109/TAC.2002.803534. Google Scholar 
[3] 
M. Corless and G. Leitmann, Continuous state feedback guaranteeing uniform ultimate boundedness for uncertain dynamic systems,, IEEE Trans. Aut., ac26 (1981), 1139. Google Scholar 
[4] 
R. Figliola and D. Beasely, "Theory and Design for Mechanical Measurements,", 4^{th} Edition, (2006). Google Scholar 
[5] 
B. Goh, Algorithms for unconstrained optimization via control theory ,, Journal of Optimization Theory and Applications, 92 (1997), 581. doi: 10.1023/A:1022607507153. Google Scholar 
[6] 
W. Grantham and T. Vincent, "Modern Control Systems Analysis and Design,", Wiley, (1993). Google Scholar 
[7] 
W. Grantham, Trajectory following optimization by gradient transformation differential equations,, Proc. 42^{nd} IEEE Conf. on Decision and Control, (): 9. Google Scholar 
[8] 
W. Grantham, Some necessary conditions for steepest descent controllability,, Proceedings of the 1^{st} American Controls Conference, (1982). Google Scholar 
[9] 
D. McDonald and W. Grantham, Singular perturbation trajectory following methods for minmax differential games,, in, (2006), 659. Google Scholar 
[10] 
T. Vincent and W. Grantham, Trajectory following methods in control system design,, Journal of Global Optimization, 23 (2002), 267. doi: 10.1023/A:1016530713343. Google Scholar 
[11] 
T. Vincent, B. Goh and K. Teo, Trajectoryfollowing algorithms for minmax optimization problems,, Journal of Optimization Theory and Application, 75 (1992), 501. doi: 10.1007/BF00940489. Google Scholar 
[12] 
T. Vincent and W. Grantham, "Nonlinear and Optimal Control Systems,", Wiley, (1997). Google Scholar 
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