Adaptive tracking control for a class of plants with uncertain parameters and non-linearities

1988 ◽  
Vol 2 (1) ◽  
pp. 49-71 ◽  
Author(s):  
Ljubomir T. Grujić
Keyword(s):  
Tracking Control ◽  
Uncertain Parameters ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking

scholarly journals Adaptive Control Design for Arneodo Chaotic System with Uncertain Parameters and Input Saturation

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Chunhua Cheng ◽  
Fengjuan Gao ◽  
Jingshuo Xu ◽  
Yuanxin Wang ◽  
Tao Yuan
Keyword(s):  
Chaotic System ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Tracking Control ◽  
Input Saturation ◽  
Lyapunov Stability Theory ◽  
Control Law ◽  
Uncertain Parameters ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking

In this paper, tracking controller and synchronization controller of the Arneodo chaotic system with uncertain parameters and input saturation are considered. An adaptive tracking control law and an adaptive synchronization control law are proposed based on backstepping and Lyapunov stability theory. The adaptive laws of the unknown parameters are derived by using the Lyapunov stability theory. To handle the effect caused by the input saturation, an auxiliary system is used to compensate the tracking error and synchronization error. The proposed adaptive tracking control and synchronization schemes ensure the effects of tracking and synchronization. Several examples have been detailed to illuminate the design procedure.

scholarly journals Designing the Adaptive Tracking Controller for Uncertain Fully Actuated Dynamical Systems with Additive Disturbances Based on Sliding Mode

2016 ◽  
Vol 2016 ◽  
pp. 1-11
Author(s):  
Chi Nguyen Van
Keyword(s):  
Dynamical Systems ◽  
Tracking Control ◽  
Control Method ◽  
Sliding Mode ◽  
Control Law ◽  
Uncertain Parameters ◽  
Transient Time ◽  
Vertical Movements ◽  
Adaptive Tracking Control ◽  
Adaptive Tracking

This paper addresses the problem of adaptive tracking control for uncertain fully actuated dynamical systems with additive disturbance (FDSA) based on the sliding mode. We use the adaptive mechanism to adjust the uncertain parameters in sliding mode control law which can be switched to two modes depending on the sliding surface. By choosing appropriately the parameters in control law, the desired transient time can be obtained without effects of uncertain parameters and additive disturbances. The chattering phenomenon can be minimized by a chosen constant. This control method is applied to the angles tracking control of the twin rotor multi-input multi-output system (TRMS) which have nonlinear characteristics, the input torque disturbances and the coupling between the horizontal and vertical movements. The simulation and experimental results are presented that validate the proposed solution.

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