Chattering-Free Fuzzy Sliding Mode Control Strategy for Uncertain Discrete Systems with Input Saturation

Author(s):  
Linsheng Li ◽  
Jianning Li
Author(s):  
Liming Dai ◽  
Lin Sun

An active control strategy is developed for nonlinear vibration control of an axially translating beam applied in engineering field. The control strategy is established on the basis of Fuzzy Sliding Mode Control. The nonlinear model governing the beam system is described with a six-degree nonlinear dynamic system. Corresponding to the multi-degree nonlinear system, the active control strategy is developed. The proposed control strategy is proven to be effective in controlling and stabilizing the nonlinear motions especially chaotic motion of the beam.


Electronics ◽  
2020 ◽  
Vol 9 (10) ◽  
pp. 1731
Author(s):  
Xi Zhang ◽  
Hui Lin

This paper proposes a backstepping fuzzy sliding mode control method for the antiskid braking system (ABS) of unmanned aerial vehicles (UAVs). First, the longitudinal dynamic model of the UAV braking system is established and combined with the model of the electromechanical actuator (EMA), based on reasonable simplification. Subsequently, to overcome the higher-order nonlinearity of the braking system and ensure the lateral stability of the UAV during the braking process, an ABS controller is designed using the barrier Lyapunov function to ensure that the slip ratio can track the reference value without exceeding the preset range. Then, a power fast terminal sliding mode control algorithm is adopted to realize high-performance braking pressure control, which is required in the ABS controller, and a fuzzy corrector is established to improve the dynamic adaptation of the EMA controller in different braking pressure ranges. The experimental results show that the proposed braking pressure control strategy can improve the servo performance of the EMA, and the hardware in loop (HIL) experimental results indicate that the proposed slip ratio control strategy demonstrates a satisfactory performance in terms of stability under various runway conditions.


2015 ◽  
Vol 51 (1) ◽  
pp. 692-701 ◽  
Author(s):  
Ali Saghafinia ◽  
Hew Wooi Ping ◽  
Mohammad Nasir Uddin ◽  
Khalaf Salloum Gaeid

Author(s):  
Shengjian Bai ◽  
Pinhas Ben-Tzvi ◽  
Qingkun Zhou ◽  
Xinsheng Huang

This paper presents the dynamic modeling and fuzzy sliding mode control (FSMC) for a spacecraft with flexible appendages. A first-order approximate model (FOAM) of the flexible spacecraft system is formulated by using Hamilton’s principles and assumed mode method (AMM), taking into account the second-order term of the coupling deformation field. The use of classical Sliding Mode Control (SMC) presents a major problem that appears in the form of chattering. For highly flexible structural models, ideal sliding surface producing pure rigid body motion may not be achievable. In this paper, the discontinuity in the sliding mode controller is smoothened inside a thin boundary layer by using fuzzy logic (FL) techniques so that the chattering phenomenon is effectively reduced. The robustness of SMC only holds in the sliding mode domain (SMD). However, when the amplitude of the actuators is limited, SMD will be restricted to some local domain near zero on the switching surface. Control input saturation is also explicitly considered in the FSMC approach. The new features and advantages of the proposed approach are the use of new dynamic equations of motion of flexible spacecraft systems, and the design of FSMC by taking into account the control input saturation. To study the effectiveness of the corresponding control scheme, the classical SMC case is also developed for the control system. Numerical simulations are performed to show that rotational maneuvers and vibration suppression are accomplished in spite of the presence of disturbance torques, model uncertainty and control saturation nonlinearity.


Author(s):  
Pinhas Ben-Tzvi ◽  
Shengjian Bai ◽  
Qingkun Zhou ◽  
Xinsheng Huang

This paper presents the dynamic modeling and fuzzy sliding mode control for rigid-flexible multibody systems. To investigate the dynamic stiffening of rigid-flexible systems, a first-order approximate model of a flexible spacecraft system is formulated by using Hamilton’s principles and assumed mode method, taking into account the second-order term of the coupling deformation field. For highly flexible structural models, ideal surface sliding that produces pure rigid body motion may not be achievable. In this paper, the discontinuity in the sliding mode controller is smoothed inside a thin boundary layer using fuzzy logic technique to reduce the chattering phenomenon efficiently. Sliding mode control is insensitive to parameter variations and provides complete rejection of disturbances, but these advantages only hold in the sliding mode domain. However, when the actuators’ amplitude is limited by their physical constraints, the sliding mode domain will be restricted to some local domain near zero on the switching surface. Control input saturation is also considered in the fuzzy sliding mode control approach. The new features and advantages of the proposed approach are the use of new dynamic equations for the motion of flexible spacecraft systems and the design of fuzzy sliding mode control by taking into account the control input saturation. The classical sliding mode control case is also developed for comparison. Numerical simulations are performed to validate the proposed methods and to demonstrate that rotational maneuvers and vibration suppression are accomplished in spite of the presence of model uncertainty and control saturation nonlinearity.


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