Model Predictive Control for Systems with Partially Unknown Dynamics under Signal Temporal Logic Specifications

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作者
Dai, Zhao Feng [1 ]
Pant, Yash Vardhan [1 ]
Smith, Stephen L. [1 ]
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[1] University of Waterloo, Department of Electrical and Computer Engineering, Waterloo,ON,N2L 3G1, Canada
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In this letter; we design a model predictive controller (MPC) for systems to satisfy Signal Temporal Logic (STL) specifications when the system dynamics are partially unknown; and only a nominal model and past runtime data are available. Our approach uses Gaussian process regression to learn a stochastic; data-driven model of the unknown dynamics; and manages uncertainty in the STL specification resulting from the stochastic model using Probabilistic Signal Temporal Logic (PrSTL). The learned model and PrSTL specification are then used to formulate a chance-constrained MPC. For systems with high control rates; we discuss a modification for improving the solution speed of the control optimization. In simulation case studies; our controller increases the frequency of satisfying the STL specification compared to controllers that use only the nominal dynamics model. © 2017 IEEE;
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10.1109/LCSYS.2024.3519034
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页码:2931 / 2936
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