Time-Optimal Path Tracking via Reachability Analysis
Hung Pham,Quang-Cuong Pham +1 more
- pp 3007-3012
TLDR
A new path controller is proposed that is guaranteed to find feasible reference trajectories by accounting for possible future perturbations and outperforms existing methods.Abstract:
Given a geometric path, the Time-Optimal Path Tracking problem consists in finding the control strategy to traverse the path time-optimally while regulating tracking errors. A simple yet effective approach to this problem is to decompose the controller into two components: (i) a path controller, which modulates the parameterization of the desired path in an online manner, yielding a reference trajectory; and (ii) a tracking controller, which takes the reference trajectory and outputs joint torques for tracking. However, there is one major difficulty: the path controller might not find any feasible reference trajectory that can be tracked by the tracking controller because of torque bounds. In turn, this results in degraded tracking performances. Here, we propose a new path controller that is guaranteed to find feasible reference trajectories by accounting for possible future perturbations. The main technical tool underlying the proposed controller is Reachability Analysis, a new method for analyzing path parameterization problems. Simulations show that the proposed controller outperforms existing methods.read more
Citations
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DissertationDOI
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References
More filters
Journal ArticleDOI
Survey Constrained model predictive control: Stability and optimality
TL;DR: This review focuses on model predictive control of constrained systems, both linear and nonlinear, and distill from an extensive literature essential principles that ensure stability to present a concise characterization of most of the model predictive controllers that have been proposed in the literature.
Book
Robot dynamics and control
TL;DR: This self-contained introduction to practical robot kinematics and dynamics includes a comprehensive treatment of robot control, providing background material on terminology and linear transformations and examples illustrating all aspects of the theory and problems.
MonographDOI
Lectures on modern convex optimization: analysis, algorithms, and engineering applications
TL;DR: The authors present the basic theory of state-of-the-art polynomial time interior point methods for linear, conic quadratic, and semidefinite programming as well as their numerous applications in engineering.
Journal ArticleDOI
Time-Optimal Control of Robotic Manipulators Along Specified Paths:
TL;DR: In this paper, the minimum-time manipulator control problem is solved for the case when the path is specified and the actuator torque limitations are known, and the optimal open-loop torques are found, and a method is given for implementing these torques with a conventional linear feedback control system.
Proceedings ArticleDOI
ECOS: An SOCP solver for embedded systems
TL;DR: This paper describes the embedded conic solver (ECOS), an interior-point solver for second-order cone programming (SOCP) designed specifically for embedded applications, written in low footprint, single-threaded, library-free ANSI-C and so runs on most embedded platforms.
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