Planning and control of under-actuated mobile manipulators using differential flatness

2010 ◽  
Vol 29 (1) ◽  
pp. 35-52 ◽  
Author(s):  
Ji-Chul Ryu ◽  
Sunil K. Agrawal
Author(s):  
Ji-Chul Ryu ◽  
Sunil K. Agrawal

In this paper, we present two robust trajectory-tracking controllers for a differentially driven two-wheeled mobile robot using its kinematic and dynamic model in the presence of slip. The structure of the differential flatness-based controller, which is an integrated framework for planning and control, is extended in this paper to account for slip disturbances by adding a corrective control term. Simulation results for both kinematic and dynamic controllers are presented to demonstrate the effectiveness of the robust controllers. Experiments with the kinematic controller were conducted to validate the performance of the robust controller. The simulation and experimental results show that the robust controllers are very effective in the presence of slip.


2011 ◽  
Vol 16 (4) ◽  
pp. 768-773 ◽  
Author(s):  
Chin Pei Tang ◽  
Patrick T. Miller ◽  
Venkat N. Krovi ◽  
Ji-Chul Ryu ◽  
Sunil K. Agrawal

2017 ◽  
Vol 2017 ◽  
pp. 1-17 ◽  
Author(s):  
Bibhya Sharma ◽  
Jito Vanualailai ◽  
Avinesh Prasad

This paper describes the design of new centralized acceleration-based controllers for the multitask problem of motion planning and control of a coordinated lead-carrier team fixed in a dual-formation within an obstacle-ridden environment. A dϕ-strategy, where d and ϕ are Euclidean measures with respect to the lead robot, is developed to ensure virtual connectivity of the carrier robots to the lead robot. This connectivity, built into the system itself, inherently ensures globally rigid formation between each lead-carrier pair of the team. Moreover, a combination of target configuration, dϕ-strategy, orientation consensus, and avoidance of end-effector of robots results in a second, locally rigid formation (not infinitesimally rigid). Therefore, for the first time, a dual-formation control problem of a lead-carrier team of mobile manipulators is considered. This and other kinodynamic constraints have been treated simultaneously via the overarching Lyapunov-based control scheme, essentially a potential field method favored in the field of robotics. The formulation of this new scheme, demonstrated effectively via computer simulations, is timely, given that the current proposed engineering solutions, allowing autonomous vehicles on public roads, include the development of special lanes imbued with special sensors and wireless technologies.


Author(s):  
Ji-Chul Ryu ◽  
Sunil K. Agrawal ◽  
Jaume Franch

This paper presents a methodology for trajectory planning and tracking control of a tractor with a steerable trailer based on the system’s dynamic model. The theory of differential flatness is used as the basic approach in these developments. Flat outputs are found that linearize the system’s dynamic model using dynamic feedback linearization, a subclass of differential flatness. It is demonstrated that this property considerably simplifies motion planning and the development of controller. Simulation results are presented in the paper, which show that the developed controller has the desirable performance with exponential stability.


Author(s):  
Ji-Chul Ryu ◽  
Sunil K. Agrawal ◽  
Jaume Franch

This paper presents a methodology for trajectory planning and tracking control of a tractor with a steerable trailer based on the system’s dynamic model. The theory of differential flatness is used as the basic approach in these developments. Flat outputs are found that linearize the system’s dynamic model using dynamic feedback linearization, a subclass of differential flatness. It is demonstrated that this property considerably simplifies motion planning and the development of controller. Simulation results are presented in the paper, which show that the developed controller has the desirable performance with exponential stability.


2003 ◽  
Vol 22 (5) ◽  
pp. 337-354 ◽  
Author(s):  
Jindong Tan ◽  
Ning Xi ◽  
Yuechao Wang

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