Finite-time stabilization for a class of nonlinear systems via optimal control

In general, finite-time stabilization techniques can always stabilize a system if control cost is not considered. Considering the fact that control cost is a very important factor in control area, we investigate finite-time stabilization problem for a class of nonlinear systems in this paper, where the control cost can also be reduced. We formulate this problem into an optimal control problem, where the control functions are optimized such that the system can be stabilized with minimum control cost. Then, the control parameterization enhancing transform and the control parameterization method are applied to solve this problem. Two numerical examples are illustrated to show the effectiveness of the proposed method.