Study on Linear Quadratic Regulator of High-Speed Elevator Car Horizontal Vibration Based on Genetic Algorithm Optimization

In purpose of reducing the severe horizontal vibration of the high-speed elevator car system which is caused by the excitation of the guide rail, an adaptive sliding mode controller with fuzzy switching gain (FGASMC) is designed in this paper. At first, a 4-DOF active control dynamics model of the horizontal vibration of the elevator car is designed, on which the actuators are symmetrically distributed around the cabin center, and the accuracy of which is demonstrated by experiments. Considering the uncertainty caused by the load conditions, structural mass of the elevator, and the output gain of actuators, a Takagi-Sugeno (TS) model for controlling horizontal vibration of the car system is derived based on the designed 4-DOF dynamics model. Then, based on the TS model mentioned above, an adaptive sliding mode controller (ASMC) for suppressing the horizontal vibration of the car system is designed by a quadratic index method. To ensure the reachability of the sliding mode and keep the chattering smaller, the fuzzy method is utilized to adjust the switching gain of the ASMC. For that, an FGASMC is proposed. Finally, the effectiveness of the proposed controller is verified by MATLAB simulation. The results illustrate that the designed FGASMC can effectively suppress horizontal vibration of the high-speed elevator car system, and the control effect of which is obviously superior than the linear quadratic regulator optimized by genetic algorithm, which provides a new idea for active vibration reduction of high-speed elevator car.

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“…Method 2. The linear quadratic regulator of which the coefficient matrix was optimized by genetic algorithm (GA-LQR) 23,24 with ideal actuators.…”

Section: Methods 1 the Proposed Fgasmc With Output Limited Actuatorsmentioning

confidence: 99%

Adaptive sliding mode control with fuzzy adjustment of switching term based on the Takagi-Sugeno model for horizontal vibration of the high-speed elevator cabin system

Jia

Zhang

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…To further verify the effectiveness of the designed controller for active vibration damping, this subsection will apply the GA-LQR controller used in the literature 23 and the controller designed in this paper (IM-SMC) to actively control the acceleration time and frequency domain response at the center of mass of the car system together and compare the control effects.…”

Section: Numerical Simulation Of Controlled Performance With Differen...mentioning

confidence: 99%

Adaptive Sliding Mode Control Strategy for Horizontal Vibration of High-speed Elevator Based on Model Identification

Li,

Jia

et al. 2023

The International Journal of Acoustics and Vibration

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The transverse vibration equation of a high-speed elevator car system is established to address the problem of passenger comfort due to transverse vibration caused by the unevenness of guide rails. The Hankel-Toeplitz model of transverse vibration is derived by considering the excitation-response hysteresis phenomenon. The least-squares method is used to identify the model parameters of the car system by combining the measured vibration acceleration data of the high-speed elevator. Then, the model's accuracy is verified by comparing the modeled response with the measured vibration response. Further, based on the theory of sliding mode variable structure control, an adaptive sliding mode active damping control strategy is designed for instantaneous power, and the comparative analysis of vibration acceleration and displacement of the car system under sliding mode control under light and heavy load conditions and different control strategies is carried out by MATLAB to verify the feasibility and effectiveness of the proposed control strategy parameter identification model.

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“…To prove the superiority of the proposed controller, this paper uses the GA-LQR controller presented in Jia et al 32 as the contrast object. It compares the car system's horizontal vibration acceleration and vibration displacement response in the same elevator model state.…”

Section: Control Effect Of Jwpso-tdlqr Jwpso-lqr and Ga-lqr Controlle...mentioning

confidence: 99%

Study on the LQR Control of High-speed Elevator Car Horizontal Vibration Based on the Jumping Inertia Weight Particle Swarm Optimization

He¹,

Li²,

Zhang³

et al. 2022

The International Journal of Acoustics and Vibration

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To reduce the horizontal vibration of a high-speed elevator car caused by the excitation of a guide rail more effectively, a differential magnetic suspension active guide shoe based on the principle of the differential magnetic suspension actuator is designed. Then the dynamic model of the active vibration damping system of the elevator car is established and an LQR controller is designed to reduce the horizontal vibration of the car. To search the weighting coefficient matrix of the LQR controller more efficiently, an algorithm named Jumping inertia Weight Particle Swarm Optimization (JWPSO) algorithm is proposed, and the frequently used fitness function verifies the optimization effect of the JWPSO algorithm. The weighting coefficient matrix of the LQR controller is optimized using the JWPSO algorithm. Finally, the impact of the JWPSO algorithm-optimized LQR controller is verified by MATLAB. The simulation result shows that the designed active vibration controller can effectively attenuate the horizontal vibration of the elevator car, and the control effect is significantly better than the LQR controller optimized by the GA algorithm and the H-inf controller optimized by LMI. This paper provided a new method for horizontal vibration reduction of the high-speed elevator car.

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Study on Linear Quadratic Regulator of High-Speed Elevator Car Horizontal Vibration Based on Genetic Algorithm Optimization

Cited by 7 publications

References 5 publications

Adaptive sliding mode control with fuzzy adjustment of switching term based on the Takagi-Sugeno model for horizontal vibration of the high-speed elevator cabin system

Adaptive sliding mode control with fuzzy adjustment of switching term based on the Takagi-Sugeno model for horizontal vibration of the high-speed elevator cabin system

Adaptive Sliding Mode Control Strategy for Horizontal Vibration of High-speed Elevator Based on Model Identification

Study on the LQR Control of High-speed Elevator Car Horizontal Vibration Based on the Jumping Inertia Weight Particle Swarm Optimization

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