In this paper, the problem of sliding mode control (SMC) for uncertain T-S (Tagaki-Sugeno) fuzzy systems with input and state delays is investigated, in which the nonlinear uncertain terms are unknown, and also unmatched. For the T-S fuzzy model of the controlled object, a method based on sliding mode compensator is designed, and the system is controlled by sliding mode. Based on solving linear matrix inequalities (LMI), we obtain the design method of sliding mode and controller. The sufficient conditions for the asymptotical stability of the sliding mode dynamics are given by using LMI technique and the Lyapunov stability theory, and it has been shown that the state trajectories can be driven onto the sliding surface in a finite time. Finally, a numerical example is provided to illustrate the effectiveness of the proposed theories.
Aiming at gantry-moving machining centre, a suggestion to suspend large-scale movable component, namely movable bridging beam, has been put forward firstly to realize high accurate orientation without friction in this paper. Then wezed in engineering conveniently and its close-loop system also can be constituted easily. The simulatio designed a H∞ robust controller to improve the rigidity of electromagnetic suspension air-gap. This control method can be reali n result shows that this control method has better dynamic and static performance and robustness, and meets the requirement on high accurate rigidity of electromagnetic suspension height.
Permanent magnets have inherent magnetism. Power consumption of suspension system can be reduced and large air-gap can be reached when permanent magnets are applied to maglev system. But permanent magnets cannot be well controlled and the load of the electromagnetic suspension system (hereafter, EMSS) is not constant, so electromagnets should be added. Therefore a hybrid structure made of permanent magnets and electromagnets is adopted. In addition, EMSS is a typical non-linear and hysteresis system, so itpsilas difficult to obtain its precise mathematic model and itpsilas also difficult to cater to its requirement of rapidity, stability and robustness by applying general PID or other control algorithms separately. Aimed at the characteristics of EMSS, the paper discusses the possibility of applying artificial neural network PID controller (hereafter, NN-PID) to maglev suspension system based on the induced mathematic model, and a composite control model, NN-PID, is introduced by applying P part to improve the systempsilas rapidity, applying NN part to improve the systempsilas dynamic characteristics and applying PI part which can erase the systempsilas static error to improve the systempsilas steady characteristics. The simulation proves that this composite controller can make the system have an excellent stability and control accuracy.