Formulas for linear optimal control over a finite or infinite interval

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Formulas for linear optimal control over a finite or infinite interval

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Algebraic expressions are given for the solution of the optimal-linear-regulator problem for a constant plant and quadratic performance index. They enable the time-varying or constant feedback gains and the resulting plant trajectories to be found.

Inspec keywords: optimal control

Subjects: Optimal control

References

    1. 1)
      • D.R. Vaughan . A negative exponential solution for the matrix Riccati equation. IEEE Trans. , 72 - 75
    2. 2)
      • Walter, O.H.D.: 1970, Ph.D. thesis, University of Manchester Institute of Science & Technology, to be submitted to the.
    3. 3)
      • Vaughan, D.R.: `A negative exponential solution for the linear optimal regulator', Proceedings of the joint automatic control conference, June 1968, University of Michigan, p. 717–725.
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