Multiple Sliding Surface Controller for a Quadrotor for Improved Robustness Against Wind Disturbances

2020 ◽  
Author(s):  
Madhavan Sudakar ◽  
Siddharth Sridhar ◽  
Manish Kumar
Keyword(s):  
Pid Controller ◽  
Control Method ◽  
Controller Design ◽  
Sliding Mode ◽  
Sliding Mode Controller ◽  
Control Input ◽  
Wind Disturbance ◽  
Lyapunov Stability Analysis ◽  
Rapid Switching ◽  
Actual Control

Abstract In this paper, we present a controller design for a quadrotor by obtaining the derivative of the actual control input using the concept of multiple sliding surfaces and Lyapunov stability analysis. The conventional sliding mode controller is highly robust. The discontinuous part of the control input suppresses disturbances well. Theoretically, however, this discontinuity causes rapid switching of the control input (chattering) which results in large energy consumption and inefficiency. The proposed control method formulates the derivative of control input (having the discontinuity) which upon integrating provides a smoother control input when compared to the classical sliding mode control. The quadrotor with our proposed controller is subjected to varying wind disturbance scenarios and its performance is bench-marked against a PID controller and a conventional sliding mode controller. A saturation function sat is used instead of the sign for the classical sliding mode controller as well as the the proposed novel controller design in all sections from 4.2. The reasoning behind this is discussed in the results section of the paper.

ADAPTIVE BACKSTEPPING SLIDING MODE CONTROLLER FOR FLIGHT SIMULATOR BASED ON RBFNN

2013 ◽  
Vol 04 (04) ◽  
pp. 1342007 ◽  
Author(s):  
YUNJIE WU ◽  
BAITING LIU ◽  
WULONG ZHANG ◽  
XIAODONG LIU
Keyword(s):  
Controller Design ◽  
Sliding Mode ◽  
Flight Simulator ◽  
Sliding Mode Controller ◽  
Control Input ◽  
Adaptive Backstepping ◽  
External Disturbances ◽  
Base Function ◽  
System A ◽  
Radial Base Function

For flight simulator system, a kind of Adaptive Backstepping Sliding Mode Controller (ABSMC) based on Radial Base Function Neural Network (RBFNN) observer is presented. The sliding mode control theory is famous by its characteristic that it is insensitive to the external disturbances and parameters uncertainties. Combining this characteristic with Backstepping method can simplifies the controller design. And the addition of the terminal attractor can make the arrival time shorten greatly. However, too large external disturbances and parameters uncertainties are still not allowed to the system, and the design process of ABSMC does not have the upper bound information of disturbance until a RBFNN observer is designed to solve the problems. The simulation results show that the proposed scheme can improve the tracking precision and reduce the chattering of the control input, and the system has a higher robustness.

scholarly journals A non-integer sliding mode controller to stabilize fractional-order nonlinear systems

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Ahmadreza Haghighi ◽  
Roveida Ziaratban
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Control Method ◽  
Controller Design ◽  
Nonlinear Dynamical Systems ◽  
Sliding Mode ◽  
Slip Surface ◽  
Direct Method ◽  
Distributed Model ◽  
Sliding Mode Controller

Abstract In this study, we examine the stabilization of fractional-order chaotic nonlinear dynamical systems with model uncertainties and external disturbances. We used the sliding mode controller by a new approach for controlling and stabilization of these systems. In this research, we replaced a continuous function with the sign function in the controller design and the sliding surface to suppress chattering and undesirable vibration effects. The advantages of the proposed control method are rapid convergence to the equilibrium point, the absence of chattering and unwanted oscillations, high resistance to uncertainties, and the possibility of applying this method to most fractional order chaotic systems. We applied the direct method of Lyapunov stability theory and the frequency distributed model to prove the stability of the slip surface and closed loop system. Finally, we simulated this method on two commonly used and practical chaotic systems and presented the results.

Fuzzy Adaptive Nonsingular Terminal Sliding Mode Control for a Three-Links Spatial Robot

2013 ◽  
Vol 655-657 ◽  
pp. 1048-1052
Author(s):  
Sheng Bin Hu ◽  
Wen Hua Lu ◽  
Xing Yuan Zhang ◽  
Hai Rong Xu ◽  
Da Min Cao
Keyword(s):  
Sliding Mode Control ◽  
Control Method ◽  
Sliding Mode ◽  
Lyapunov Theory ◽  
Sliding Mode Controller ◽  
Control Input ◽  
Terminal Sliding Mode ◽  
Mode Control ◽  
Nonsingular Terminal Sliding Mode ◽  
Control Scheme

To achieve high performance tracing control of the three-links spatial robot, a nonsingular terminal fuzzy sliding mode control method is proposed in this paper. Firstly, the control method can efficiently avoid the singularity of the generally terminal sliding mode controller through designing nonsingular terminal sliding mode surface. Secondly, to diminish the chattering in the control input, a fuzzy controller is designed to adjust the gain of nonsingular terminal sliding mode controller according to the normal of nonsingular terminal sliding mode surface. The stability of the control scheme is verified by using Lyapunov theory. The proposed controller is then applied to the control of a three-links spatial robot. Simulation results show the validity of the proposed control scheme.

scholarly journals Adaptive Sliding Mode Controller Design for Projective Synchronization of Different Chaotic Systems with Uncertain Terms and External Bounded Disturbances

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Shijian Cang ◽  
Zenghui Wang ◽  
Zengqiang Chen
Keyword(s):  
Control Method ◽  
Controller Design ◽  
Sliding Mode ◽  
Projective Synchronization ◽  
Sliding Mode Controller ◽  
Unknown Parameters ◽  
External Disturbances ◽  
Adaptive Sliding Mode ◽  
Response System ◽  
Adaptive Sliding Mode Controller

Synchronization is very useful in many science and engineering areas. In practical application, it is general that there are unknown parameters, uncertain terms, and bounded external disturbances in the response system. In this paper, an adaptive sliding mode controller is proposed to realize the projective synchronization of two different dynamical systems with fully unknown parameters, uncertain terms, and bounded external disturbances. Based on the Lyapunov stability theory, it is proven that the proposed control scheme can make two different systems (driving system and response system) be globally asymptotically synchronized. The adaptive global projective synchronization of the Lorenz system and the Lü system is taken as an illustrative example to show the effectiveness of this proposed control method.

A novel robust finite-time tracking control of uncertain robotic manipulators with disturbances

2020 ◽  
pp. 107754632098244
Author(s):  
Hamid Razmjooei ◽  
Mohammad Hossein Shafiei ◽  
Elahe Abdi ◽  
Chenguang Yang
Keyword(s):  
Finite Time ◽  
Control Method ◽  
Sliding Mode ◽  
Robotic Manipulators ◽  
Sliding Mode Controller ◽  
Time Varying ◽  
State Variables ◽  
Terminal Sliding Mode ◽  
Control Laws ◽  
Finite Time Boundedness

In this article, an innovative technique to design a robust finite-time state feedback controller for a class of uncertain robotic manipulators is proposed. This controller aims to converge the state variables of the system to a small bound around the origin in a finite time. The main innovation of this article is transforming the model of an uncertain robotic manipulator into a new time-varying form to achieve the finite-time boundedness criteria using asymptotic stability methods. First, based on prior knowledge about the upper bound of uncertainties and disturbances, an innovative finite-time sliding mode controller is designed. Then, the innovative finite-time sliding mode controller is developed for finite-time tracking of time-varying reference signals by the outputs of the system. Finally, the efficiency of the proposed control laws is illustrated for serial robotic manipulators with any number of links through numerical simulations, and it is compared with the nonsingular terminal sliding mode control method as one of the most powerful finite-time techniques.

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