Boundary output feedback stabilization for a class of coupled parabolic systems

Abstract

In this paper, the boundary output feedback stabilization problem is addressed for a class of coupled nonlinear parabolic systems. An output feedback controller is presented by introducing a Luenberger-type observer based on the measured outputs.To determine observer gains, a backstepping transform is introduced by choosing a suitable target system with nonlinearity. Furthermore, based on the state observer, a backstepping boundary control scheme is presented. With rigorous analysis, it is proved that the states of nonlinear closed-loop system including state estimation and estimation error of plant system are locally exponentially stable in the L 2 norm. Finally, a numerical example is proposed to illustrate the effectiveness of the presented scheme. KEYWORDSbackstepping, boundary control, locally exponentially stable, output feedback 6510

A differential‐free output feedback control for stabilization of continuous‐time LTI systems with Euler's approximation method

“…Then, the controller order (ie, complexity) is increased by adding the observer dynamic. Hence, a simple output feedback control may be interested in comparing with the observer‐based control system in some applications …”

“…Hence, a simple output feedback control may be interested in comparing with the observer-based control system in some applications. 5,6 In the robot manipulators, the velocity and position are related with a first-order differential equation. Then, some control techniques equipped with time delay as well as discrete-time sliding-mode control, 7 robust control, 8 and adaptive integral sliding-mode control 9 have been suggested in the robot manipulator control.…”