Predictive Descriptor Observer Design for a Class of LTI systems with Applications to Quadrotor Trajectory Tracking

2020 ◽  
pp. 1-1 ◽  
Author(s):  
Chunyan Wang ◽  
Wei Dong ◽  
Jianan Wang ◽  
Zhengtao Ding
Keyword(s):  
Trajectory Tracking ◽  
Observer Design ◽  
Descriptor Observer

On the Linear Control of Underactuated Nonlinear Systems Via Tangent Flatness and Active Disturbance Rejection Control: The Case of the Ball and Beam System

2016 ◽  
Vol 138 (10) ◽  
Author(s):  
Mario Ramírez-Neria ◽  
Hebertt Sira-Ramírez ◽  
Rubén Garrido-Moctezuma ◽  
Alberto Luviano-Juárez
Keyword(s):  
Equilibrium Point ◽  
Trajectory Tracking ◽  
Disturbance Rejection ◽  
Observer Design ◽  
Active Disturbance Rejection Control ◽  
Tracking Tasks ◽  
Active Disturbance Rejection ◽  
Beam System ◽  
Disturbance Rejection Control ◽  
Ball And Beam System

In this paper, a systematic procedure for controller design is proposed for a class of nonlinear underactuated systems (UAS), which are non-feedback linearizable but exhibit a controllable (flat) tangent linearization around an equilibrium point. Linear extended state observer (LESO)-based active disturbance rejection control (ADRC) is shown to allow for trajectory tracking tasks involving significantly far excursions from the equilibrium point. This is due to local approximate estimation and compensation of the nonlinearities neglected by the linearization process. The approach is typically robust with respect to other endogenous and exogenous uncertainties and disturbances. The flatness of the tangent model provides a unique structural property that results in an advantageous low-order cascade decomposition of the LESO design, vastly improving the attenuation of noisy and peaking components found in the traditional full order, high gain, observer design. The popular ball and beam system (BBS) is taken as an application example. Experimental results show the effectiveness of the proposed approach in stabilization, as well as in perturbed trajectory tracking tasks.

scholarly journals Performance Evaluation of Different Control Methods for an Underactuated Quadrotor Unmanned Aerial Vehicle (QUAV) with Position Estimator and Disturbance Observer

2021 ◽  
Vol 2021 ◽  
pp. 1-22
Author(s):  
Ghulam E. Mustafa Abro ◽  
Zain Anwar Ali ◽  
Saiful A. Zulkifli ◽  
Vijanth Sagayan Asirvadam
Keyword(s):  
Steady State ◽  
Sliding Mode Control ◽  
Trajectory Tracking ◽  
Disturbance Observer ◽  
Sliding Mode ◽  
Observer Design ◽  
Control Technique ◽  
Mode Control ◽  
Dynamic Factors ◽  
Transient And Steady State

The main aim of this manuscript is to design and demonstrate the performance of different control algorithms with position estimator and disturbance observer to track the helical trajectory by an underactuated quadrotor craft under the influence of unmodelled dynamic factors and external disturbances. The manuscript consists of the derivations related to the kinematics and dynamics of quadrotor dully derived using the Newton Euler approach. It is one of the strenuous tasks to stabilize and control the quadrotor for helical trajectory tracking since it is an underactuated mechatronic system. In addition to this, with inclusion of unmodelled dynamic factors, it faces some of the serious transient and steady-state issues including Zeno noise. In this research manuscript, dual-loop single-dimension fuzzy sliding mode control (DLSDF-SMC) is proposed to improve the helical trajectory tracking performance, and to tackle the unmodelled dynamic factors, a state feedback controller is proposed consisting of a position estimator and disturbance observer design. The entire system is distributed into two subsystems such that within the angular subsystem, the attitude control is proposed using DLSDF-SMC, and for the translational subsystem, the paper proposes the position control design based on the hyperbolic function to avoid the gimbal lock issue. The overall stability of the proposed closed-loop control scheme is also proved. The simulation work for the proposed algorithm is performed using MATLAB and Simulink software and compared with the conventional sliding mode control (SMC) and fuzzy-based SMC control designs. This work demonstrates that the DLSDF-SMC control technique with position estimator and disturbance observer design in feedback not only improves the aggressive maneuvers while tracking the helical trajectory but also tackles the transient and steady-state issues.

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