The accuracy of a data-driven model directly affects the control performance of model-free predictive control (MFPC). To take into account the affine motion of the plant, a model-free predictive current control (MF-PC...
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We address in this letter the learning of unknown rigid body motions in the Special Euclidian Group SE(3) based on Gaussian Processes. A new covariance kernel for SE(3) is presented and proven to be a valid kernel for...
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We address in this letter the learning of unknown rigid body motions in the Special Euclidian Group SE(3) based on Gaussian Processes. A new covariance kernel for SE(3) is presented and proven to be a valid kernel for Gaussian Process Regression. The learning error of the proposed Gaussian Process model is extended to a high-probability statement on SE(3). We employ it in a visual pursuit scenario of a moving target with unknown velocity in 3D space. Our approach is validated in a simulated 3D environment in Unity, and shows significant better prediction accuracy than the most commonly used Gaussian kernel. When compared to other covariance kernels proposed on SE(3), its advantages are a natural extension of covering numbers to SE(3), that it is computationally more efficient, and that stability of target pursuit can be guaranteed without limiting the target rotational space to SO(2).
Invariant sets are essential when establishing safety of nonlinear systems. However, certifying the existence of a positive invariant set for a nonlinear model is difficult and often requires knowledge of the system...
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Invariant sets are essential when establishing safety of nonlinear systems. However, certifying the existence of a positive invariant set for a nonlinear model is difficult and often requires knowledge of the system's dynamic model. This paper presents a datadriven method to certify a positive invariant set for an unknown, discrete, nonlinear system. A triangulation of a subset of the state space is used to query data points. Then, a convex optimization problem is used to create a continuous piecewise affine (CPA) function that fulfills the criteria of the Extended Invariant Set Principle by leveraging an inequality error bound that uses the system's Lipschitz constant. Numerical results demonstrate the program's ability to certify positive invariant sets from sampled data.
The adoption of Electric Vehicles (EVs) and solar Photovoltaic (PV) generation by households is rapidly and significantly increasing. Utilities are facing the challenge of efficiently managing EV and PV resources to h...
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The adoption of Electric Vehicles (EVs) and solar Photovoltaic (PV) generation by households is rapidly and significantly increasing. Utilities are facing the challenge of efficiently managing EV and PV resources to help mitigate the undesirable effects on grid operation. Existing approaches to solve these issues depend on accurate but hard to predict behavior of EVs and PVs, detailed knowledge of customers, and grid infrastructure, all of which complicate the effective deployment of these resources. Motivated by these practical challenges and in collaboration with industry partners working on addressing these issues, this paper proposes a two-level data-driven smart controller for EV charging in distribution systems. The controller is modeled as a Deep Reinforcement learning (DRL) agent, which coordinates the charging rates of multiple EVs connected to a realistic residential feeder with high penetration of PV generation. The first level coordinates the aggregated EV load at distribution Medium Voltage (MV) level to provide Demand Response (DR) services;at the Low Voltage (LV) level it aims to maximize the EVs' state of charge at departure while avoiding the overloading of the MV/LV distribution transformers. The controller is verified through simulations on an actual utility grid facing the aforementioned challenges, demonstrating the effectiveness and practicality of the proposed DRL-based smart charging approach.
This paper considers the prescribed performance tracking problem for nonlinear systems with uncertain control input gain. A novel prescribed performance active disturbance rejection control design featured with low co...
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Recent advances in learning-based control leverage deep function approximators, such as neural networks, to model the evolution of controlled dynamical systems over time. However, the problem of learning a dynamics mo...
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(纸本)9798350301243
Recent advances in learning-based control leverage deep function approximators, such as neural networks, to model the evolution of controlled dynamical systems over time. However, the problem of learning a dynamics model and a stabilizing controller persists, since the synthesis of a stabilizing feedback law for known nonlinear systems is a difficult task, let alone for complex parametric representations that must be fit to data. To this end, we propose control with Inherent Lyapunov Stability (CoILS), a method for jointly learning parametric representations of a nonlinear dynamics model and a stabilizing controller from data. To do this, our approach simultaneously learns a parametric Lyapunov function which intrinsically constrains the dynamics model to be stabilizable by the learned controller. In addition to the stabilizability of the learned dynamics guaranteed by our novel construction, we show that the learned controller stabilizes the true dynamics under certain assumptions on the fidelity of the learned dynamics. Finally, we demonstrate the efficacy of CoILS on a variety of simulated nonlinear dynamical systems.
The number of smart inverters in active distribution networks is growing rapidly, making it challenging to realize a fast, distributed Volt/Var control (VVC). This work proposes a machine learning-assisted distributed...
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The number of smart inverters in active distribution networks is growing rapidly, making it challenging to realize a fast, distributed Volt/Var control (VVC). This work proposes a machine learning-assisted distributed algorithm to accelerate the solution of the VVC strategy. We first observe the convergence process of the Alternating Direction Method of Multipliers (ADMM)-based VVC problem and explore the potential relationships between the convergence and time-series regression. Then, the long short-term memory (LSTM) technique is applied to learn the convergence process and regress the converged values of the dual and global variables with previous ADMM observations. After that, the LSTM-assisted ADMM algorithm is proposed, where the regressions are used for ADMM parameter updates. In this algorithm, the inputs of the LSTM-model are carefully designed since the complementary conditions implied in the conventional ADMM should be considered. Unlike existing methods, the proposed method does not use the LSTM to determine the VVC strategy directly, indicating that it is non-intrusive and can satisfy all safety constraints during operations. The proof of its optimality and convergence is also given. The numerical simulations on the 33-bus distribution system demonstrate the effectiveness and efficiency of the proposed method.
The integration of Renewable Energy Resources (RERs) into electrical grids introduces significant challenges concerning the reliability and stability of the grid. This paper focuses on these challenges, particularly t...
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The integration of Renewable Energy Resources (RERs) into electrical grids introduces significant challenges concerning the reliability and stability of the grid. This paper focuses on these challenges, particularly the issues of real-time load forecasting and adaptive inertia control in renewable integrated grids. A data-driven, deep learning-based approach is proposed to dynamically forecast real-time load and renewable energy generation, using the New England ieee 39-Bus Power System as a case study. To enhance the dynamic performance of the microgrid, the paper introduces an enhanced fractional extended state observer-based linear active disturbance rejection control mechanism coupled with a feedback architecture. This control scheme aims to provide adaptive inertia to the system, thus improving its ability to handle fluctuations and intermittencies inherent in RERs. The effectiveness of the proposed controller is rigorously compared with existing approaches through simulation studies, validating its superior performance for the ieee 39-Bus Power System under examination. To further substantiate the findings, a hardware-in-loop real-time experimental analysis is conducted using OPAL-RT hardware. This hardware-based analysis serves as a functional validation of the proposed data-driven forecasting algorithm confirming its viability to improve the grid reliability.
To facilitate human-robot interaction (HRI), we aim for robot behavior that is efficient, transparent, and closely resembles human actions. Signal Temporal Logic (STL) is a formal language that enables the specificati...
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To facilitate human-robot interaction (HRI), we aim for robot behavior that is efficient, transparent, and closely resembles human actions. Signal Temporal Logic (STL) is a formal language that enables the specification and verification of complex temporal properties in robotic systems, helping to ensure their correctness. STL can be used to generate explainable robot behaviour, the degree of satisfaction of which can be quantified by checking its STL robustness. In this letter, we use data-driven STL inference techniques to model human behavior in human-human interactions, on a handover dataset. We then use the learned model to generate robot behavior in human-robot interactions. We present a handover planner based on inferred STL specifications to command robotic motion in human-robot handovers. We also validate our method in a human-to-robot handover experiment.
This paper proposes an interval observer based fault diagnosis method for the biological growth process in wastewater treatment. First, the nonlinear microbial growth model is transformed into a Takagi-Sugeno (T-S) fu...
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