Returning to the same point through bounded controls in finite time

ABDON E. CHOQUE-RIVERO; GRACIELA A. GONZÁLEZ; EFRAIN CRUZ MULLISACA

Ixtapa

Congreso; IEEE International Autumn Meeting on Power, Electronics and Computing (ROPEC 2022).; 2022

IEEE Sección Centro Occidente

For the Brunovsky system, given an initial point x^0 in R^2, we consider the problem of finding a set of bounded controls that allows to return to the state x^0 in finite time T(x^0). We use the Korobov’s controllability function method Θ(x), in particular, the case where Θ(x^0) represents the motiontime from x^0 to the same point. We present the solution of the aforementioned problem with the additional condition that the objective is achieved in the optimal time.