Time Optimal Control Laws for Bilinear Systems

Abstract EN

The aim of this paper is to determine the feedforward and state feedback suboptimal time control for a subset of bilinear systems, namely, the control sequence and reaching time.

This paper proposes a method that uses Block pulse functions as an orthogonal base.

The bilinear system is projected along that base.

The mathematical integration is transformed into a product of matrices.

An algebraic system of equations is obtained.

This system together with specified constraints is treated as an optimization problem.

The parameters to determine are the final time, the control sequence, and the states trajectories.

The obtained results via the newly proposed method are compared to known analytical solutions.