A stable analytical solution method for car-like robot trajectory tracking and optimization
Autor: | Keyvan Majd, Mohammad Razeghi-Jahromi, Abdollah Homaifar |
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Rok vydání: | 2020 |
Předmět: |
0209 industrial biotechnology
Computer science 02 engineering and technology Kinematics Tracking (particle physics) Tracking error Nonlinear system 020901 industrial engineering & automation Quadratic equation Exponential stability Artificial Intelligence Control and Systems Engineering Control theory Linearization 0202 electrical engineering electronic engineering information engineering Trajectory 020201 artificial intelligence & image processing Information Systems |
Zdroj: | IEEE/CAA Journal of Automatica Sinica. 7:39-47 |
ISSN: | 2329-9274 2329-9266 |
DOI: | 10.1109/jas.2019.1911816 |
Popis: | In this paper, the car-like robot kinematic model trajectory tracking and control problem is revisited by exploring an optimal analytical solution which guarantees the global exponential stability of the tracking error. The problem is formulated in the form of tracking error optimization in which the quadratic errors of the position, velocity, and acceleration are minimized subject to the rear-wheel car-like robot kinematic model. The input-output linearization technique is employed to transform the nonlinear problem into a linear formulation. By using the variational approach, the analytical solution is obtained, which is guaranteed to be globally exponentially stable and is also appropriate for real-time applications. The simulation results demonstrate the validity of the proposed mechanism in generating an optimal trajectory and control inputs by evaluating the proposed method in an eight-shape tracking scenario. |
Databáze: | OpenAIRE |
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