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Observers and minimum-energy controls for nonlinear systems

Observers and minimum-energy controls for nonlinear systems

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Using generalised inverses and their relationship to least-squares problems, controls and state estimators are derived for linear systems. These results are then extended to nonlinear systems using a fixed-point theorem.

References

    1. 1)
      • M.Z. Nashed , L.B. Rall . (1971) Generalised inverses, normal solvability, and iteration for singular operator equations, Non-linear functional analysis and its applications.
    2. 2)
      • L. Collatz . (1966) , Functional analysis and numerical methods.
    3. 3)
      • Magnusson, K., Pritchard, A.J., Quinn, M.D.: `The application of fixed point theorems to global nonlinear controlability problems', report 87, , submitted to SIAM J. Control.
    4. 4)
      • Carmichael, N., Pritchard, A.J., Quinn, M.D.: `State and parameter estimation problems for nonlinear systems', report 89, , submitted to J. App. Math &Optimisation.
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