In control system synthesis, it is interesting to use orthogonal basis functions such as various polynomials and series.However, there are still no examples of applying spectral methods to closed-loop control systems and poor applications to nonlinear plants.In this paper, we proposed a control method of allowing the state of the plant to pass through the desired points that the user suggests subjectively in case a model of the control plant is given and the boundary values at a given time point are given.In other words, to generate the optimal response curve of the Volza problem, we used the standard Chebyshev pseudo-spectral (PS) method, which deals with the state and control of the plant with Chebyshev polynomial approximation, based on which the optimization problem is considered to be a nonlinear programming problem. At that time we obtained the desired control quantity u with the polynomial coefficients and thus implemented the control.In this paper, we demonstrated the practical applicability of this method by showing not only examples of linear plants but also applications of nonlinear plants.