This article addresses the decoupling control design for cascaded power electronic transformer (PET) in input-series–output-parallel connection. Due to coupling and interaction between submodules substages, essence it is a complex nonlinear system. A strategy based on feedback exact linearization (FEL) developed decouple all objectives so as realize dc-link output voltages fast stabilizing subm...

In this paper, we will construct the solution of Landau-Ginzburg equation by Adomian decomposition method. This method avoids linearization space and discretization time, it often gives a good approximation exact solution.

As one of the seven open problems in the addendum to their 1989 book Computability in Analysis and Physics [21], Pour-El and Richards asked, “What is the connection between the computability of the original nonlinear operator and the linear operator which results from it?” Yet at present, systematic studies of the issues raised by this question seem to be missing from the literature. In this pa...

this paper concerns a study on the optimal control for nonlinear systems. an appropriate alternative in order to alleviate the nonlinearity of a system is the exact linearization approach. in this fashion, the nonlinear system has been linearized using input-output feedback linearization (iofl). then, by utilizing the well developed optimal control theory of linear systems, the compensated nonl...

In this paper, output tracking control of a helicopter model is investigated. The model is derived from Newton-Euler equations by assuming that the helicopter body is rigid. First, we show that for several choices of output variables exact input-output linearization fails to linearize the whole state space and results in having unstable zero dynamics. By neglecting the couplings between moments...