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Implicit Trajectory Planning for Feedback Linearizable Systems: A Time-varying Optimization Approach | IEEE Conference Publication | IEEE Xplore

Implicit Trajectory Planning for Feedback Linearizable Systems: A Time-varying Optimization Approach


Abstract:

We develop an optimization-based framework for joint real-time trajectory planning and feedback control of feedback-linearizable systems. To achieve this goal, we define ...Show More

Abstract:

We develop an optimization-based framework for joint real-time trajectory planning and feedback control of feedback-linearizable systems. To achieve this goal, we define a target trajectory as the optimal solution of a time-varying optimization problem. In general, however, such trajectory may not be feasible due to, e.g., nonholonomic constraints. To solve this problem, we design a control law that generates feasible trajectories that asymptotically converge to the target trajectory. More precisely, for systems that are (dynamic) full-state linearizable, the proposed control law implicitly transforms the nonlinear system into an optimization algorithm of sufficiently high order. We prove global exponential convergence to the target trajectory for both the optimization algorithm and the original system. We illustrate the effectiveness of our proposed method on multi-object or multi-agent tracking problems with constraints.
Date of Conference: 01-03 July 2020
Date Added to IEEE Xplore: 27 July 2020
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Conference Location: Denver, CO, USA

References

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