Finite Difference Output Feedback Control of a Class of Distributed Parameter Processes

Abstract

Low-dimensional nonlinear feedback control schemes for distributed parameter processes are addressed. The main design procedure involves the use of a feasible numerical method to establish a finite difference-based differential equation system and to utilize the pure nonlinear feedback design for achieving uniform output regulation. When the almost uniform input distribution at steady-state conditions can be planed, the controller reduction can be involved in the proposed control design guidelines. Based on the nonlinear inverse design procedure, the low-dimensional and approximate feedback control law is developed such that the stable and bounded output tracking can be guaranteed. With the aid of internal model control strategy, the low-dimensional output feedback control scheme can ensure the asymptotic output regulation. Finally, those control methodologies are shown to be robust and effective in controlling a nonisothermal tubular reactor at possibly realistic situations.