Abstract

A direct adaptive sliding mode controller (SMC) based on radial basis function neural network (RBFNN) approximation is proposed for a high-speed, ultratall building elevator system using genetic algorithm (GA) to optimise the control parameters. The nonlinear dynamic model of the elevator system is described, with the RBFNN used to approximate the elevator system functions and external disturbance uncertainties. The RBFNN parameters are optimised using GA. The RBFNN-SMC was compared with a traditional sliding mode controller, nonlinear pseudo-derivative feedback (NPDF) controller and a nonlinear proportional-integral-derivative controller. The Lyapunov stability theorem is applied to develop the adaptive law, thereby guaranteeing the system stability. Performance of the proposed RBFNN-SMC has been evaluated using numerical simulations. The RBFNN-SMC achieved effective control of the elevator system. Although the RBFNN-SMC system achieved comparable pre-re-levelling control to its competitors, problematic chattering was observed due to sensor noise, suggesting that the system must be coupled with a noise-attenuating filter to avoid actuator damage. Following arrival of the cabins, an adaptive re-levelling operation was applied to reduce the distance between the cabins and the arrival floor. Although both SMC variants accomplished successful re-levelling, the NPDF-based controller achieved the best performance—adjusting the final cabin position to within 1 mm of the target floor in both considered displacement overshoot cases.

Highlights

  • For the case of tall elevator systems, the dynamic behaviour of the lifting cables during operation is an issue that has yet to be satisfactorily resolved

  • This can be overcome by implementing a radial basis function neural network (RBFNN), which can effectively approximate the unknown nonlinearities through real-time adjustment of the connection weights [7, 8]

  • As shown in the obtained results, effective RBFNN-sliding mode control (SMC) performance was observed, despite the system dynamics being approximated in the control law

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Summary

Introduction

For the case of tall elevator systems, the dynamic behaviour of the lifting cables during operation is an issue that has yet to be satisfactorily resolved. The highly nonlinear progression of the cable parameters has been shown to cause problematic oscillations in the acceleration and jerk responses of supertall (500 m tall) elevators [1, 2] These fluctuations were said to have been exacerbated by increased lifting heights and velocities [1]. Regarding traditional SMC (TSMC), the need to explicitly define the model within the control law is potentially problematic in practice, as many of the dynamics are often unknown [6] This can be overcome by implementing a radial basis function neural network (RBFNN), which can effectively approximate the unknown nonlinearities through real-time adjustment of the connection weights [7, 8]. The fluctuations of the stock price were noted as being highly nonlinear and difficult to model, with the system being sensitive to external factors This was a significant result due to the simpler structure of the RBFNN, with the network consisting of just one hidden layer [10].

Mathematical model
Performance specifications
Controllers’ architectures
Genetic algorithm optimisation
Results and discussion
Conclusions and future work
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