Gain scheduled control of nonlinear systems based on the linear-model-sets identification method

We present a total method of modeling, identification and gain scheduling for nonlinear plants. To construct a gain scheduled control system, we will expect to model the nonlinear plant as a set of the linearized models at all the operating points. In this paper, we show that the linear-model-sets identification (LM-sets ID) method is a suitable method of modeling and identification of nonlinear plants for constructing gain scheduled control systems. For this purpose, we design and theoretically analyze a gain scheduled control system based on a collection of model sets obtained by the LM-sets ID method.