The paper is devoted to the problem of the construction of a control which transfers a control system from any point to a given non-equilibrium point in a finite time. The construction of the control is based on the method of controllability function. The ambiguity of the solution of the equation that determines the controllability function is found, which leads to a number of interesting cases. The problem is solved for a linear system. The obtained results are illustrated on a model example.
The Peculiarity of Solving the Synthesis Problem for Linear Systems to a Non-Equilibrium Point
Stiepanova, Kateryna;
2021-01-01
Abstract
The paper is devoted to the problem of the construction of a control which transfers a control system from any point to a given non-equilibrium point in a finite time. The construction of the control is based on the method of controllability function. The ambiguity of the solution of the equation that determines the controllability function is found, which leads to a number of interesting cases. The problem is solved for a linear system. The obtained results are illustrated on a model example.File in questo prodotto:
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