LQ optimal control of uncertain fractional differential systems

This paper mainly emphasizes the linear quadratic optimal control problem of fractional differential systems based on uncertainty theory, which is an important tool for modeling belief degrees. First, a class of linear uncertain fractional differential equations is solved analytically by solving auxiliary linear uncertain differential equations. Then an equivalent uncertain optimal control model of the uncertain fractional LQ optimal control model is obtained, and the feedback form of its optimal control is deduced by dynamic programming. Finally, a numerical example is analyzed based on the obtained results.