Anticipation in discrete-time LQ control. I: Open-loop control. (English) Zbl 0864.93072

An open-loop SISO discrete-time LQ control problem is considered. A process output should track a reference signal under existence of a possible load disturbance and some nonzero initial conditions. The case is considered when it is known some time in advance when and how the input signals will turn in the future. Then a control action need not wait for such a determined change but can anticipate it. It is noted that the idea of anticipation may be simply realized in a computer-controlled process using a polynomial system and signal description. The considerations are illustrated in an example.


93C55 Discrete-time control/observation systems
49N10 Linear-quadratic optimal control problems
93C05 Linear systems in control theory
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