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Stability and dynamic boundary condition decoupling analysis for a class of 2-D discrete linear systems

Stability and dynamic boundary condition decoupling analysis for a class of 2-D discrete linear systems

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  • Author(s): K. Galkowski 1 ; E. Rogers 2 ; A. Gramacki 3 ; J. Gramacki 3 ; D.H. Owens 4
    • View affiliations
    • Affiliations: 1: Institute of Control and Computation Engineering, Technical University of Zielona Gora, Zielona Gora, Poland
      2: Department of Electronics and Computer Science, University of Southampton, Southampton, United Kingdom
      3: Institute of Informatics and Electronics, Technical University of Zielona Gora, Zielona Gora, Poland
      4: Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, United Kingdom
  • Source: Volume 148, Issue 3, June 2001, p. 126 – 134
    DOI:  10.1049/ip-cds:20010341 , Print ISSN 1350-2409, Online ISSN 1359-7000
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Repetitive processes are a distinct class of 2-D systems of both practical and algorithmic interest. The paper gives some important new results on the analysis and control of the sub-class known as discrete linear repetitive processes in the presence of a general set of pass initial conditions, which are termed boundary conditions here. These results consist of stability tests which can be implemented by direct application of standard (or 1-D) linear systems tests and the use of control action to decouple the effects of the boundary conditions.

Inspec keywords: discrete systems; stability; multidimensional systems; linear systems

Other keywords: repetitive process; algorithm; pass initial condition; stability; control action; decoupling analysis; dynamic boundary condition; 2D discrete linear system

Subjects: Stability in control theory; Distributed parameter control systems; Discrete control systems

References

    1. 1)
      • G Peters , J.H. Wilkinson . The least squares problem and pseudo-inverses. Comput. J. , 13 , 309 - 316
    2. 2)
      • Smyth, K.J.: `Computer aided analysis for linear repetitive processes', 1992, PhD , University of Strathclyde, Department of Mechanical Engineering.
    3. 3)
      • D.H. Owens . Stability of linear multipass processes. Proc. Inst. Electr. Eng. , 11 , 1079 - 1082
    4. 4)
      • P.D. Roberts . Stability analysis of iterative optimal control algorithms modelled aslinearrepetitive processes. IEE Proc. Control Theory Appl. , 3 , 229 - 238
    5. 5)
      • K. Galkowski , A. Gramacki , J. Gramacki , S.G. Tzafestas , G. Schmidt . (1998) Analysis of properties of multitime scale systems in 2-D approach, Progress in system and robotic analysis and control design.
    6. 6)
      • Rogers, E., Gramacki, J., Galkowski, K., Owens, D.H.: `Stability theory for a class of 2-D linear systems with dynamic boundaryconditions', Proceedings of 37th IEEE International Conference on Decision and Control, December 1998, p. 2800–2805.
    7. 7)
      • E. Rogers , D.H. Owens . (1992) Stability analysis for linear repetitive processes, Lecture Notes in Control and Information Sciences Series.
    8. 8)
      • N. Amann , D.H. Owwens , E. Rogers . Iterative learning control using optimal feedback and feedforward actions. Int. J. Control , 2 , 277 - 293
    9. 9)
      • M. Araki , K. Yamamoto . Multivariable multirate sampled-data systems: state-space description,transfer characteristics, and Nyquist criterion. IEEE Trans. Autom. Control , 2 , 145 - 154
    10. 10)
      • Roberts, P.D.: `Unit memory repetitive processes and iterative optimal control algorithms', Proceedings of International Conference Control 94, Warwick, UK, p. 454–459.
    11. 11)
      • E. Fornasini , G. Marchesini . Doubly-indexed dynamical systems: state space models andstructural properties. Math. Syst. Theory , 59 - 72
    12. 12)
      • R.P. Roesser . A discrete state space model for linear image processing. IEEE Trans. Autom. Contr. , 1 , 1 - 10
    13. 13)
      • K. Galkowski , E. Rogers , D.H. Owens . Matrix rank based conditions for reachability/controllabilityof discrete linear repetitive processes. Lin. Algebr. Appl. , 201 - 224
    14. 14)
      • J.B. Edwards . Stability problems in the control of multipass processes. Proc. Inst. Electr. Eng. , 11 , 1425 - 1431
    15. 15)
      • J.L. Aravena , M. Shaflee , W.A. Porter . State models and stability for 2-D filters. IEEE Trans. Circuits Syst. , 12 , 1509 - 1519
    16. 16)
      • N. Amann , D.H. Owens , E. Rogers . Predictive optimal iterative learning control. Int. J. Control , 2 , 203 - 206
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