Automation and Remote Control

, Volume 62, Issue 4, pp 597–606 | Cite as

Minimization of Overshoot in Linear Discrete-Time Systems via Low-Order Controllers

  • O. N. Kiselev
  • B. T. Polyak


For the SISO linear discrete-time control systems, a technique of response optimization was proposed. It is based on introducing a performance function which is the upper bound of the maximum of error magnitude. Its minimization leads to a linear programming problem in the controller coefficients. Importantly, a low-order controller can be designed in this manner. Various generalizations of the problem, including the robust variant, were considered.


Control System Mechanical Engineer System Theory Programming Problem Performance Function 
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Copyright information

© MAIK “Nauka/Interperiodica” 2001

Authors and Affiliations

  • O. N. Kiselev
    • 1
  • B. T. Polyak
    • 1
  1. 1.Trapeznikov Institute of Control SciencesRussian Academy of SciencesMoscowRussia

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