Tracking control for switched nonlinear systems subject to output hysteresis via adaptive multi-dimensional Taylor network approach

For switched nonlinear systems with output hysteresis, by working on multi-dimensional Taylor network (MTN), an adaptive control strategy is put forward, which can effectively solve the tracking control problem. Firstly, the modified Bouc-Wen hysteresis model is employed to cope with the nonlinear problem caused by output hysteresis. Secondly, the Nussbaum function is introduced into the control design process, and MTN is used to approach nonlinear structures. Thirdly, a novel network adaptive control strategy is constructed with the help of a common Lyapunov function, which can realize the tracking control and stability of the system simultaneously. It is worth noting that as a new type of neural network, MTN is first used for control of switched systems with output hysteresis. Finally, two simulation examples show that the proposed control strategy is effective.

Automated summary

This paper proposes an adaptive control strategy based on MTN for solving the tracking control problem of switched nonlinear systems with output hysteresis. By employing the modified hysteresis model and Nussbaum function, and using MTN to approximate nonlinear structures, a novel network adaptive control strategy is constructed to achieve both tracking control and stability of the system simultaneously.