Optimal sliding mode design for motion control

Motion control has been a fruitful ground for applying variable structure systems (VSS) theory. This paper provides an assessment of the state of the art of the relevant theoretical results for motion control, and through a number of control design problems (namely classical, discrete-time, observer based discrete-time and frequency shaped discrete-time sliding mode control) demonstrates the practical use of sliding mode in solving a number of critical design problems which are universal to both motion control and robotic manipulator control. Experimental results of a transputer-controlled single-degree-of-freedom motion-control system are presented.

[1]  Peter Korondi,et al.  Discrete-time sliding mode based feedback compensation for motion control , 1996, Proceedings. 1996 IEEE International Workshop on Variable Structure Systems. - VSS'96 -.

[2]  A. Zinober Variable Structure and Lyapunov Control , 1994 .

[3]  Hideki Hashimoto,et al.  On Design of VSS Observer for Nonlinear Systems , 1989 .

[4]  Hideki Hashimoto,et al.  MOSFET Converter-Fed Position Servo System with Sliding Mode Control , 1985, IEEE Transactions on Industrial Electronics.

[5]  Kar-Keung D. Young Controller Design for a Manipulator Using Theory of Variable Structure Systems , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[6]  Umit Ozguner,et al.  Frequency shaping compensator design for sliding mode , 1993 .

[7]  V. Utkin,et al.  VSS observer for linear time varying system , 1990, [Proceedings] IECON '90: 16th Annual Conference of IEEE Industrial Electronics Society.

[8]  N. Gupta Frequency-shaped cost functionals - Extension of linear-quadratic-Gaussian design methods , 1980 .

[9]  V. Utkin,et al.  Sliding mode control in dynamic systems , 1992 .

[10]  K. Furuta Sliding mode control of a discrete system , 1990 .

[11]  Y. P. Chen,et al.  A new controller design for manipulators using the theory of variable structure systems , 1988 .

[12]  Asif Sabanovic,et al.  Application of Sliding Modes to Induction Motor Control , 1981, IEEE Transactions on Industry Applications.

[13]  K. D. Young,et al.  Frequency shaped sliding mode synthesis , 1990 .

[14]  Vadim I. Utkin,et al.  A singular perturbation analysis of high-gain feedback systems , 1977 .