Abstract
This paper presents an adaptive fuzzy sliding mode control design for a class of uncertain horizontal platform systems (HPSs). Firstly, a nonsingular terminal sliding surface is proposed for HPSs. Then, a fuzzy logic system is introduced to estimate the system uncertainties. The adaptive fuzzy sliding mode controller can guarantee the stability of the closed-loop system. The corresponding numerical simulations are demonstrated to verify the effectiveness of the proposed method.
Highlights
Over the past two decades, many mechanical systems with chaotic phenomena have been developed [1, 2]
The horizontal platform system (HPS) is a mechanical device composed of a platform and an accelerometer located on the platform
The accelerometer produces an output signal to the actuator, subsequently generating a torque to inverse the rotation of the platform to balance the HPS, when the platform deviates from horizon
Summary
Over the past two decades, many mechanical systems with chaotic phenomena have been developed [1, 2]. Wu et al [13] proposed a sufficient criterion for global chaos synchronization between two identical HPSs coupled by using linear state error feedback controller. They achieved the robust synchronization of the chaotic HPS with phase difference and parameter mismatches in [14]. P. Aghababa [19] proposed adaptive controllers to achieve finite time synchronization of two nonautonomous chaotic HPSs. the bounds of uncertainties of HPSs are assumed to be known.
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