Abstract
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.
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Kiselev, O.N., Polyak, B.T. Minimization of Overshoot in Linear Discrete-Time Systems via Low-Order Controllers. Automation and Remote Control 62, 597–606 (2001). https://doi.org/10.1023/A:1010285629098
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DOI: https://doi.org/10.1023/A:1010285629098