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Infinite-horizon periodic minimax control problem

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Abstract

This note analyzes a minimax optimal control problem involving a periodic discrete-time system. The functional to be minimized is the maximum value of the sum over a period of the costs incurred by the system. A dynamic programming algorithm is proposed for the solution.

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References

  1. Schweppe, F. C.,Recursive State Estimation: Unknown but Bounded Errors and System Inputs, IEEE Transactions on Automatic Control, Vol. 13, pp. 22–28, 1968.

    Google Scholar 

  2. Witsenhausen, H. S.,Sets of Possible States of Linear Systems Given Perturbed Observations, IEEE Transactions on Automatic Control, Vol. 13, pp. 556–558, 1968.

    Google Scholar 

  3. Glover, J. D., andSchweppe, F. C.,Control of Linear Dynamic Systems with Set Constrained Disturbances, IEEE Transactions on Automatic Control, Vol. 16, pp. 411–423, 1971.

    Google Scholar 

  4. Bertsekas, D. P., andRhodes, I. B.,On the Minimax Reachability of Target Sets and Target Tubes, Automatica, Vol. 7, pp. 233–247, 1971.

    Google Scholar 

  5. Milanese, M., andVicino, A.,Optimal Estimation Theory for Dynamic Systems with Set Membership Uncertainty: An Overview, Automatica, Vol. 27, pp. 997–1009, 1991.

    Google Scholar 

  6. Piccardi, C.,Infinite-Horizon Minimax Control with Pointwise Cost Functional, Journal of Optimization Theory and Applications, Vol. 78, pp. 317–336, 1993.

    Google Scholar 

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Communicated by L. D. Berkovitz

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Piccardi, C. Infinite-horizon periodic minimax control problem. J Optim Theory Appl 79, 397–404 (1993). https://doi.org/10.1007/BF00940588

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  • DOI: https://doi.org/10.1007/BF00940588

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