A sliding mode controller for a model of flow separation in boundary layers

Abstract

In this paper we propose a sliding mode controller for a MIMO model of flow separation in boundary layers. The model consists in a bilinear system with constant delays in both the state and the input. The main motivation to consider such a class of systems is that, it has shown to be suitable for input-output modelling and control design of some turbulent flow control systems. Stability and robustness properties of the control scheme are studied by means of Volterra equations theory, which provides easily verifiable stability conditions.

Radial basis function neural network based second-order sliding mode control for robotic manipulator

“…Motivated by the above discussion, considering the model error and external disturbance, a new adaptive second-order terminal sliding mode control method based on RBF neural network is proposed. The main contributions of this paper are as follows: (1) Compared with references, [11][12][13][14][15] the proposed control law is continuous without discontinuous high-frequency switching term, which effectively weakens the chattering and ensuring the robustness of the system. And compared with references [16][17][18][19] , the control method is not affected by the relative order of the system, which can greatly improve the practicability of the method.…”

“…This problem is also tried to be solved by the boundary layer method. [13][14][15] Using the saturation function instead of the switching function can weaken the chattering phenomenon, but the selection of the boundary layer thickness is difficult and may affect the system performance and robustness. At present, the most effective method to weaken the chattering problem is the super-twisting algorithm (STA) in high-order sliding mode control, which can produce continuous control signals and has attracted the attention of many scholars.…”