Feedback Control of the Locomotion of a Tailed Quadruped Robot

2021 ◽  
Author(s):  
Yujiong Liu ◽  
Pinhas Ben-Tzvi

Abstract The traditional locomotion paradigm of quadruped robots is to use dexterous (multi degrees of freedom) legs and dynamically optimized footholds to balance the body and achieve stable locomotion. With the introduction of a robotic tail, a new locomotion paradigm becomes possible as the balancing is achieved by the tail and the legs are only responsible for propulsion. Since the burden on the leg is reduced, leg complexity can be also reduced. This paper explores this new paradigm by tackling the dynamic locomotion control problem of a reduced complexity quadruped (RCQ) with a pendulum tail. For this specific control task, a new control strategy is proposed in a manner that the legs are planned to execute the open-loop gait motion in advance, while the tail is controlled in a closed-loop to prepare the quadruped body in the desired orientation. With these two parts working cooperatively, the quadruped achieves dynamic locomotion. Partial feedback linearization (PFL) controller is used for the closed-loop tail control. Pronking, bounding, and maneuvering are tested to evaluate the controller’s performance. The results validate the proposed controller and demonstrate the feasibility and potential of the new locomotion paradigm.


2021 ◽  
Vol 11 (16) ◽  
pp. 7615
Author(s):  
Paweł Parulski ◽  
Patryk Bartkowiak ◽  
Dariusz Pazderski

The aim of this paper is to test the usefulness of a new approach based on partial feedback linearization to control the Pendubot. The control problem stated in the article is to stabilize the Pendubot in the upright position. In particular, properties of the closed-loop system and the zero dynamics are investigated and illustrated by results of simulations. Next, the performance of a hybrid-like controller in the case of input saturation is evaluated by conduction extensive simulation trails. The experimental results suggest that the considered control methodology can be successfully applied for a real system.



Author(s):  
Yannick Aoustin ◽  
Yuri Martynenko

The design of remotely controlled and autonomous Unmanned Aerial Vehicles (UAVs) is an actual direction in modern aircraft development. A promising aircraft of this type is a powered paraglider (PPG). In this paper, a new mathematical model is suggested for the paraglider’s longitudinal motion aimed at the study of PPG dynamics and the synthesis of its automatic control. PPG under consideration is composed of a wing (canopy) and a load (gondola) with propelling unit. The PPG mechanical model is constructed as the system of two rigid bodies connected by an elastic joint with four degrees of freedom that executes a 2D motion in a vertical plane. The details of PPG’s motion characteristics including steady-states regimes and its stability have been studied. A nonlinear control law, based on the partial feedback linearization, has been designed for the thrust of PPG. Simulation results are analyzed. Simulation tests show that the internal dynamics are stable near the steady-state flight regime.







Author(s):  
Fatih Adıgüzel ◽  
Yaprak Yalçın

A discrete-time backstepping controller with an active disturbance attenuation property for the Inverted-Pendulum system is constructed in this paper. The main purpose of this study is to show that Immersion and Invariance (I & I) approach can be used to design a nonlinear observer for disturbance estimation and demonstrate its effectiveness considering a nonlinear system with an unstable equilibrium point, namely Inverted-Pendulum system, by utilizing the estimated values in backstepping control design. All designs are directly performed in discrete-time domain to obtain directly implementable observer and controller in discrete processors with superior performance compared to emulators. The Inverted-Pendulum system is not in strict feedback form therefore backstepping procedure cannot be directly applied. In order to enable backstepping construction, firstly a partial feedback linearization is performed and afterwards a novel discrete-time coordinate transformation is proposed. Prior to the construction of partial feedback linearizing and backstepping controller, a nonlinear disturbance estimator design is proposed with Immersion and Invariance approach. The estimated disturbance values used in the partial feedback linearization and construction of the backstepping controller. The global asymptotic stability of the estimator and local asymptotic stability of overall closed loop system are proved in the sense of Lyapunov. Performance of proposed direct discrete-time backstepping control with discrete I & I observer is compared with a backstepping sliding mode controller with another nonlinear disturbance observer (NDO) by simulations.



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