Sampling-based nonholonomic motion planning in belief space via Dynamic Feedback Linearization-based FIRM

2012 ◽  
Author(s):  
Ali-akbar Agha-mohammadi ◽  
Suman Chakravorty ◽  
Nancy M. Amato
Keyword(s):  
Motion Planning ◽  
Feedback Linearization ◽  
Dynamic Feedback ◽  
Nonholonomic Motion Planning

Motion Planning and Control of a Tractor With a Steerable Trailer Using Differential Flatness

2008 ◽  
Vol 3 (3) ◽  
Author(s):  
Ji-Chul Ryu ◽  
Sunil K. Agrawal ◽  
Jaume Franch
Keyword(s):  
Motion Planning ◽  
Dynamic Model ◽  
Tracking Control ◽  
Feedback Linearization ◽  
Differential Flatness ◽  
Dynamic Feedback ◽  
Basic Approach ◽  
Planning And Control ◽  
Simulation Results ◽  
And Control

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.

Motion Planning and Control of a Tractor With a Steerable Trailer Using Differential Flatness

2007 ◽  
Author(s):  
Ji-Chul Ryu ◽  
Sunil K. Agrawal ◽  
Jaume Franch
Keyword(s):  
Motion Planning ◽  
Dynamic Model ◽  
Tracking Control ◽  
Feedback Linearization ◽  
Differential Flatness ◽  
Dynamic Feedback ◽  
Basic Approach ◽  
Planning And Control ◽  
Simulation Results ◽  
And Control

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.

Motion Planning of a Nonholonomic Multibody System Using Genetic Algorithm

2003 ◽  
Author(s):  
Xin-Sheng Ge ◽  
Li-Qun Chen
Keyword(s):  
Genetic Algorithm ◽  
Motion Planning ◽  
Nonholonomic System ◽  
Multibody System ◽  
Planning Problem ◽  
Control Approach ◽  
Velocity Constraints ◽  
Nonholonomic Motion Planning ◽  
Optimal Control Approach ◽  
Motion Planning Problem

The motion planning problem of a nonholonomic multibody system is investigated. Nonholonomicity arises in many mechanical systems subject to nonintegrable velocity constraints or nonintegrable conservation laws. When the total angular momentum is zero, the control problem of system can be converted to the motion planning problem for a driftless control system. In this paper, we propose an optimal control approach for nonholonomic motion planning. The genetic algorithm is used to optimize the performance of motion planning to connect the initial and final configurations and to generate a feasible trajectory for a nonholonomic system. The feasible trajectory and its control inputs are searched through a genetic algorithm. The effectiveness of the genetic algorithm is demonstrated by numerical simulation.

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