TY - JOUR
ID - 44718
TI - Optimal control of switched systems by a modified pseudo spectral method
JO - Iranian Journal of Mathematical Chemistry
JA - IJMC
LA - en
SN - 2228-6489
AU - Tabrizidooz, H. R.
AU - Pourbabaee, M.
AU - Hedayati, M.
AD - Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan
Y1 - 2017
PY - 2017
VL - 8
IS - 2
SP - 161
EP - 173
KW - Optimal control
KW - switched systems
KW - Legendre pseudospectral method
DO - 10.22052/ijmc.2017.44718
N2 - In the present paper, we develop a modified pseudospectral scheme for solving an optimal control problem which is governed by a switched dynamical system. Many real-world processes such as chemical processes, automotive systems and manufacturing processes can be modeled as such systems. For this purpose, we replace the problem with an alternative optimal control problem in which the switching times appear as unknown parameters. Using the Legendre-Gauss-Lobatto quadrature and the corresponding differentiation matrix, the alternative problem is discretized to a nonlinear programming problem. At last, we examine three examples in order to illustrate the efficiency of the proposed method.
UR - http://ijmc.kashanu.ac.ir/article_44718.html
L1 - http://ijmc.kashanu.ac.ir/article_44718_efb6ede976ef88ccb0b884be36f110ab.pdf
ER -