Discrete sliding control of a coupled-drives apparatus with optimal sliding surface and switching gain

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Discrete sliding control of a coupled-drives apparatus with optimal sliding surface and switching gain

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The paper details the design and experimental implementation of a practical discrete-time version of a sliding-mode controller. The controller is derived and proven robustly stable to bounded plant modelling errors and exogenous disturbances. Sliding-surface design is treated as an energy minimisation problem where state energy during sliding on the surface is minimised according to a linear quadratic measure. Analysis of the properties of the control system lead to static and dynamic optimal switching gains. Application of the controller to simulated and experimental versions of a coupled-drives apparatus provide evidence of the robust performance and stability of the controller with classical linear quadratic optimal control. Also demonstrated is the compared effectiveness of the dynamic optimal switching gain.

Inspec keywords: variable structure systems; discrete time systems; stability; optimal control

Other keywords: optimal sliding surface; bounded plant modelling errors; stability; classical linear quadratic optimal control; optimal switching gains; linear quadratic measure; switching gain; energy minimisation problem; discrete-time version; exogenous disturbances; coupled-drives apparatus

Subjects: Optimal control; Discrete control systems; Stability in control theory; Multivariable control systems

References

    1. 1)
      • Pieper, J.K., Surgenor, B.W.: `Optimal surface design for discrete sliding control with application', Submitted to the IEEE Conference on Control Applications, September 1992, Dayton.
    2. 2)
      • J-J.E.E. Slotine , S.S. Sastry . Tracking control of nonlinear systems using sliding surfaces with application to robot manipulators. Int. J. Control , 2 , 465 - 492
    3. 3)
      • Pieper, J.K.: `Discrete time sliding mode control', , PhD thesis, Queen's University, Kingston, Canada.
    4. 4)
      • K.J. ASTROM , B. WITTENMARK . (1984) , Computer controlled systems theory and design.
    5. 5)
      • V.I. Utkin , K.D. Yang . Methods for constructing discontinuity planes in multidimensional variable structure systems. Autom. Remote Control , 1466 - 1470
    6. 6)
      • K. Furuta . Sliding mode control of a discrete system. Syst. Control Lett. , 145 - 152
    7. 7)
      • V. Utkin . Variable structure systems with sliding modes. IEEE Trans. Autom. Control , 212 - 222
    8. 8)
      • S.Z. Sarpturk , Y. Istefanopulos , O. Kaynak . On the stability of discrete time sliding mode control systems. IEEE Trans. Autom. Control , 10 , 930 - 932
    9. 9)
      • C. Milosavljevic . General conditions for the existence of a quasisliding mode on the switching hyperplane in discrete variable structure systems. Autom. Remote Control , 307 - 314
    10. 10)
      • U. Kotta . Comments on the stability of discrete time sliding mode control systems. IEEE Trans. Autom. Control , 9 , 1021 - 1022
    11. 11)
      • B. Drazenovic . Invariance conditions in variable structure systems. Automatica , 287 - 295
    12. 12)
      • S. Spurgeon . (1991) On the development of discrete time sliding mode control systems, IEE Control 91.
    13. 13)
      • R.A. Decarlo . Variable structure control of nonlinear multivariable systems: a tutorial. Proc. IEEE , 3 , 212 - 232
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