Polyhedral robust asymptotic stability regions of discrete-time linear systems with saturating controls

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Date
2003
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Abstract
The estimation of the region of robust local asymptotic stability of uncertain discrete-time linear systems with saturating control inputs is performed constructing piecewise-affine Lyapunov functions. New necessary and sufficient conditions for piecewise-affine functions be Lyapunov functions are derived. Based on linear programming formulation of these conditions, an effective non homothetic expansion procedure is proposed for construction of such Lyapunov functions for estimation of the region of robust local asymptotic stability of closed-loop saturating systems. The results obtained are strictly less conservative than those obtained via construction of contractive polyhedral sets associated to Minkowski Lyapunov functions. © 2003 IFAC.
  1. Discrete-time
  2. Linear programming
  3. Lyapunov function
  4. Robust stability
  5. Saturation
  6. Uncertain linear system
  7. Asymptotic stability
  8. Control system stability
  9. Linear programming
  10. Linear systems
  11. Lyapunov functions
  12. Robust control
  13. Saturation (materials composition)
  14. Discrete time
  15. Discrete time linear systems
  16. Linear programming formulation
  17. Local asymptotic stability
  18. Piecewise affine functions
  19. Robust asymptotic stability
  20. Robust stability
  21. Uncertain linear system
  22. Discrete time control systems
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85064449255&doi=10.1016%2fS1474-6670%2817%2935643-4&partnerID=40&md5=e0b886e6198d4c423f72c199d1145a8a
https://repositorio.maua.br/handle/MAUA/1072
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