Data-based optimal control

Optimal Control

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Robotics: Control, Sensing, Vision, and Intelligence

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Iterative feedback tuning: theory and applications

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The unfalsified control concept and learning

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Model-free control of nonlinear stochastic systems with discrete-time measurements

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Virtual reference feedback tuning for two degree of freedom controllers

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Modeling and Identification for High-Performance Robot Control: An RRR-Robotic Arm Case Study

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Markov Data-Based LQG Control1

Shi, G., & Skelton, R. E. (1998) · Journal of Dynamic Systems Measurement and Control · doi:10.1115/1.1286868 · Cited by 49 · see citing works

Closed-form solutions to discrete-time LQ optimal control and disturbance attenuation

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State-Space System Identification with Identified Hankel Matrix

Lim, R. K., Phan, M. Q., & Longman, R. W. (1998) · Cited by 28 · see citing works

Identification of a Multistep-Ahead Observer and Its Application to Predictive Control

Lim, R. K., & Phan, M. Q. (1997) · Journal of Guidance Control and Dynamics · doi:10.2514/2.4177 · Cited by 20 · see citing works

RRR-robot design: basic outlines, servo sizing, and control

van Beek, B., & de Jager, B. (2002) · The proceedings of the IEEE Conference on Control Applications/The proceedings of the ... IEEE Conference on Control Applications · doi:10.1109/cca.1997.627460 · Cited by 18 · see citing works

State Estimation with ARMarkov Models

Lim, R. K., Phan, M. Q., & Longman, R. W. (1998) · Cited by 17 · see citing works

Suppressing non-periodically repeating disturbances in mechanical servo systems

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An experimental facility for nonlinear robot control

Beek, B. V., & de Jager, B. (2003) · The proceedings of the IEEE Conference on Control Applications/The proceedings of the ... IEEE Conference on Control Applications · doi:10.1109/cca.1999.806732 · Cited by 15 · see citing works

Minimum time pulse response based control of flexible structures

Bennighof, J. K., Chang, S.-H. M., & Subramaniam, M. (1993) · Journal of Guidance Control and Dynamics · doi:10.2514/3.21095 · Cited by 14 · see citing works

Data-Driven Robust Approximate Optimal Tracking Control for Unknown General Nonlinear Systems Using Adaptive Dynamic Programming Method

Zhang, H., Cui, L., Zhang, X., & Luo, Y. (2011) · IEEE Transactions on Neural Networks · doi:10.1109/tnn.2011.2168538 · Cited by 645 · see citing works

Reinforcement Learning for Partially Observable Dynamic Processes: Adaptive Dynamic Programming Using Measured Output Data

Lewis, F. L., & Vamvoudakis, K. G. (2011) · IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) · doi:10.1109/tsmcb.2010.2043839 · Cited by 544 · see citing works

Data Informativity: A New Perspective on Data-Driven Analysis and Control

van Waarde, H. J., Eising, J., Trentelman, H. L., & Camlibel, M. K. (2020) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2020.2966717 · Cited by 517 · see citing works

From Noisy Data to Feedback Controllers: Nonconservative Design via a Matrix S-Lemma

van Waarde, H. J., Camlibel, M. K., & Mesbahi, M. (2020) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2020.3047577 · Cited by 385 · see citing works

Output-feedback adaptive optimal control of interconnected systems based on robust adaptive dynamic programming

Gao, W., Jiang, Y., Jiang, Z.-P., & Chai, T. (2016) · Automatica · doi:10.1016/j.automatica.2016.05.008 · Cited by 234 · see citing works

Data-driven realizations of kernel and image representations and their application to fault detection and control system design

Ding, S. X., Yang, Y. Z., Zhang, Y., & Li, L. (2014) · Automatica · doi:10.1016/j.automatica.2014.08.022 · Cited by 187 · see citing works

Fault-tolerant control of a hydraulic servo actuator via adaptive dynamic programming

Stojanović, V. (2023) · Mathematical Modelling and Control · doi:10.3934/mmc.2023016 · Cited by 136 · see citing works

Output Feedback Q-Learning Control for the Discrete-Time Linear Quadratic Regulator Problem

Rizvi, S. A. A., & Lin, Z. (2018) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2018.2870075 · Cited by 124 · see citing works

Data-driven control of hydraulic servo actuator: An event-triggered adaptive dynamic programming approach

Djordjevic, V., Tao, H., Song, X., He, S., Gao, W., & Stojanovic, V. (2023) · Mathematical Biosciences and Engineering · doi:10.3934/mbe.2023376 · Cited by 107 · see citing works

Data-driven control of hydraulic servo actuator based on adaptive dynamic programming

Djordjevic, V., Stojanović, V., Tao, H., Song, X., He, S., & Gao, W. (2022) · Discrete and Continuous Dynamical Systems - S · doi:10.3934/dcdss.2021145 · Cited by 93 · see citing works

Data-Driven LQR Control Design

da Silva, G. R. G., Bazanella, A. S., Lorenzini, C., & Campestrini, L. (2018) · IEEE Control Systems Letters · doi:10.1109/lcsys.2018.2868183 · Cited by 88 · see citing works

Data-Driven Minimum-Energy Controls for Linear Systems

Baggio, G., Katewa, V., & Pasqualetti, F. (2019) · IEEE Control Systems Letters · doi:10.1109/lcsys.2019.2914090 · Cited by 86 · see citing works

Event-Triggered Adaptive Optimal Control With Output Feedback: An Adaptive Dynamic Programming Approach

Zhao, F., Gao, W., Jiang, Z., & Liu, T. (2020) · IEEE Transactions on Neural Networks and Learning Systems · doi:10.1109/tnnls.2020.3027301 · Cited by 72 · see citing works

The Informativity Approach: To Data-Driven Analysis and Control

van Waarde, H. J., Eising, J., Camlibel, M. K., & Trentelman, H. L. (2023) · IEEE Control Systems · doi:10.1109/mcs.2023.3310305 · Cited by 69 · see citing works

Sampled‐data‐based adaptive optimal output‐feedback control of a 2‐degree‐of‐freedom helicopter

Gao, W., Huang, M., Jiang, Z., & Chai, T. (2016) · IET Control Theory and Applications · doi:10.1049/iet-cta.2015.0977 · Cited by 49 · see citing works

Adaptive optimal output regulation of linear discrete-time systems based on event-triggered output-feedback

Zhao, F., Gao, W., Liu, T., & Jiang, Z. (2021) · Automatica · doi:10.1016/j.automatica.2021.110103 · Cited by 46 · see citing works

Data-Driven Design and Optimization of Feedback Control Systems for Industrial Applications

Zhang, Y., Yang, Y. Z., Ding, S. X., & Li, L. (2014) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2014.2301757 · Cited by 39 · see citing works

Event-Triggered Robust Adaptive Dynamic Programming With Output Feedback for Large-Scale Systems

Zhao, F., Gao, W., Liu, T., & Jiang, Z. (2022) · IEEE Transactions on Control of Network Systems · doi:10.1109/tcns.2022.3186623 · Cited by 40 · see citing works

Optimal adaptive control for unknown systems using output feedback by reinforcement learning methods

Lewis, F. L., & Vamvoudakis, K. G. (2010) · International Conference on Control and Automation · doi:10.1109/icca.2010.5524211 · Cited by 22 · see citing works

A data-driven fault tolerant model predictive control with fault identification

Izadi, H. A., Gordon, B. W., & Zhang, Y. M. (2010) · Conference on Control and Fault-Tolerant Systems · doi:10.1109/systol.2010.5675981 · Cited by 21 · see citing works

Event-Triggered Cooperative Adaptive Optimal Output Regulation for Multiagent Systems Under Switching Network: An Adaptive Dynamic Programming Approach

Zhao, F., Luo, S., Gao, W., & Wen, C. (2025) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2024.3514202 · Cited by 13 · see citing works

Incremental reinforcement learning and optimal output regulation under unmeasurable disturbances

Zhao, J., Yang, C., Gao, W., & Park, J. H. (2023) · Automatica · doi:10.1016/j.automatica.2023.111468 · Cited by 14 · see citing works

Reinforcement Learning to Stabilize Singularly Perturbed DC-Side Dynamics of Grid-Connected Voltage-Source Converters in Modern AC–DC Grids Using Singular Perturbation Theory and Adaptive Dynamic Programming

Davari, M., Zhao, J., Yang, C., Gao, W., & Chai, T. (2024) · IEEE Transactions on Industrial Electronics · doi:10.1109/tie.2023.3327574 · Cited by 14 · see citing works

Unfalsified control:data-driven control design for performance improvement

Helvoort, J. (. V. (2007) · TU/e Research Portal · doi:10.6100/ir631347 · Cited by 14 · see citing works

Data-Driven Virtual Inertia Control Method of Doubly Fed Wind Turbine

Li, T., Wang, L., Wang, Y., Liu, G., Zhu, Z., Zhang, Y., Zhao, L. J., & Ji, Z. (2021) · Energies · doi:10.3390/en14175572 · Cited by 13 · see citing works

Data-based adaptive critic design for discrete-time zero-sum games using output feedback

Cui, L., Zhang, H., Zhang, X., & Luo, Y. (2011) · IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning · doi:10.1109/adprl.2011.5967351 · Cited by 13 · see citing works

Data-driven adaptive optimal output-feedback control of a 2-DOF helicopter

Gao, W., & Jiang, Z. (2016) · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · doi:10.1109/acc.2016.7525294 · Cited by 13 · see citing works

Adaptive optimal output regulation via output-feedback: An adaptive dynamic programing approach

Gao, W., & Jiang, Z. (2016) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc.2016.7799168 · Cited by 13 · see citing works

Adaptive and optimal output feedback control of linear systems: An adaptive dynamic programming approach

Gao, W., Jiang, Y., Jiang, Z.-P., & Chai, T. (2014) · Proceeding of the 11th World Congress on Intelligent Control and Automation · doi:10.1109/wcica.2014.7053043 · Cited by 35 · see citing works

Data-driven H∞ control of constrained systems: An application to bilateral teleoperation system

Küçükdemiral, İ. B., Yazıcı, H., Gormus, B., & Bevan, G. (2023) · ISA Transactions · doi:10.1016/j.isatra.2023.01.030 · Cited by 11 · see citing works

Closed-form and robust expressions for data-driven LQ control

Celi, F., Baggio, G., & Pasqualetti, F. (2023) · Annual Reviews in Control · doi:10.1016/j.arcontrol.2023.100916 · Cited by 11 · see citing works

Data-based control of motion systems

Steinbuch, M., van Helvoort, J., Aangenent, W., de Jager, B., & van de Molengraft, R. (2005) · The proceedings of the IEEE Conference on Control Applications/The proceedings of the ... IEEE Conference on Control Applications · doi:10.1109/cca.2005.1507180 · Cited by 10 · see citing works

Model-Driven and Data-Driven Reachable Set Estimation for Multirate Sampled-Data Truck-Trailer System

Yang, T., Bu, K., Chen, G., Xie, X., & Xia, J. (2024) · IEEE Transactions on Systems Man and Cybernetics Systems · doi:10.1109/tsmc.2024.3445881 · Cited by 9 · see citing works

Data-driven rate-based integral predictive control with estimated prediction matrices

Verheijen, P. C. N., da Silva, G. R. G., & Lazar, M. (2021) · International Conference on System Theory, Control and Computing (ICSTCC) · doi:10.1109/icstcc52150.2021.9607269 · Cited by 8 · see citing works

Frequency response data based optimal control using the data based symmetric root locus

Hoogendijk, R. R., den Hamer, A., Angelis, G. Z., van de Molengraft, R., & Steinbuch, M. (2010) · The proceedings of the IEEE Conference on Control Applications/The proceedings of the ... IEEE Conference on Control Applications · doi:10.1109/cca.2010.5611199 · Cited by 7 · see citing works

Application of deep reinforcement learning to networked control systems with uncertain network delays

Ikemoto, J., & Ushio, T. (2020) · Nonlinear Theory and Its Applications IEICE · doi:10.1587/nolta.11.480 · Cited by 6 · see citing works

Data Driven State Reconstruction of Dynamical System Based on Approximate Dynamic Programming and Reinforcement Learning

da Silva, F. N., & Neto, J. V. D. F. (2021) · IEEE Access · doi:10.1109/access.2021.3080626 · Cited by 5 · see citing works

Data-based distributed model predictive control for large-scale systems

Li, Y., Zhang, H., Wang, Z., Huang, C., & Yan, H. (2024) · Nonlinear Dynamics · doi:10.1007/s11071-024-10340-4 · Cited by 6 · see citing works

Recursive data–driven predictive control with persistence of excitation conditions

Verheijen, P. C. N., da Silva, G. R. G., & Lazar, M. (2022) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc51059.2022.9992366 · Cited by 5 · see citing works

Optimal Digital Control with Uncertain Network Delay of Linear Systems Using Reinforcement Learning

Fujita, T., & Ushio, T. (2016) · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · doi:10.1587/transfun.e99.a.454 · Cited by 4 · see citing works

Reinforcement learning-based optimal control considering L computation time delay of linear discrete-time systems

Fujita, T., & Ushio, T. (2014) · IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning · doi:10.1109/adprl.2014.7010632 · Cited by 4 · see citing works

Learning-based Event-triggered Adaptive Optimal Output Regulation of Linear Discrete-time Systems

Zhao, F., Gao, W., Liu, T., & Jiang, Z. (2021) · IEEE Data Driven Control and Learning Systems Conference (DDCLS) · doi:10.1109/ddcls52934.2021.9455453 · Cited by 4 · see citing works

Output Feedback H∞Control of Unknown Discrete-time Linear Systems: Off-policy Reinforcement Learning

Tooranjipour, P., & Kiumarsi, B. (2021) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc45484.2021.9683057 · Cited by 3 · see citing works

Tuning heuristics and convergence analysis of reinforcement learning algorithm for online data-based optimal control design

da Silva, F. N., & Neto, J. V. D. F. (2020) · Research Society and Development · doi:10.33448/rsd-v9i2.2128 · Cited by 3 · see citing works

Policy Iteration and Event-Triggered Robust Adaptive Dynamic Programming for Large-Scale Systems

Zhao, F., Gao, W., Liu, T., & Jiang, Z. (2021) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2021.10.383 · Cited by 3 · see citing works

RL-based optimal networked control considering network delay of discrete-time linear systems

Fujita, T., & Ushio, T. (2015) · European Control Conference (ECC) · doi:10.1109/ecc.2015.7330910 · Cited by 3 · see citing works

Event-triggered adaptive optimal control using output feedback: An adaptive dynamic programming approach

Zhao, F., Jiang, Z., & Liu, T. (2019) · Chinese Control Conference (CCC) · doi:10.23919/chicc.2019.8866079 · Cited by 4 · see citing works

Networked Control of Nonlinear Systems under Partial Observation Using Continuous Deep Q-Learning

Ikemoto, J., & Ushio, T. (2019) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc40024.2019.9029214 · Cited by 3 · see citing works

Fixed Final Time Optimal Adaptive Control of Linear Discrete-Time Systems in Input-Output form

Zhao, Q., Xu, H., & Jagannathan, S. (2013) · Journal of Artificial Intelligence and Soft Computing Research · doi:10.2478/jaiscr-2014-0012 · Cited by 2 · see citing works

A General Closed-Loop Framework for Multi-dimensional Sequence Processing

Ding, Q., Zhao, X., & Han, J. (2012) · Advances in intelligent systems and computing · doi:10.1007/978-3-642-33932-5_30 · Cited by 2 · see citing works

Model-Free Design of Linear Quadratic Regulator

Rizvi, S. A. A., & Lin, Z. (2022) · Control engineering · doi:10.1007/978-3-031-15858-2_2 · Cited by 2 · see citing works

Data-driven Learning of Minimum-Energy Controls for Linear Systems.Preprint

Baggio, G., Katewa, V., & Pasqualetti, F. (2019) · arXiv (Cornell University) · Cited by 2 · see citing works

Secure Linear Quadratic Regulator Using Sparse Model-Free Reinforcement Learning

Kiumarsi, B., & Başar, T. (2019) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc40024.2019.9028861 · Cited by 1 · see citing works

Reduction of data amount in data-driven design of linear quadratic regulators

Izumi, S., & Xin, X. (2024) · Control Theory and Technology · doi:10.1007/s11768-024-00220-y · Cited by 1 · see citing works

Adaptive Optimal Output-Feedback Control of Discrete-Time Systems based on Hybrid Iteration

Liu, S., Gao, W., & Jiang, Z. (2024) · IEEE Conference on Decision and Control (CDC) · doi:10.1109/cdc56724.2024.10886087 · Cited by 1 · see citing works

Event-triggered control based on adaptive dynamic programming for continuous-time nonlinear systems with completely unknown dynamics

Shi, J., Yue, D., Yang, Y., & Hu, S. (2016) · World Congress on Intelligent Control and Automation · doi:10.1109/wcica.2016.7578620 · Cited by 1 · see citing works

Plant-model-free Batch Adaptive Control via Controller Unfalsification

Verkooijen, R. R. (2007) · TU/e Research Portal · Cited by 1 · see citing works

From data and structure to models and controllers

van Waarde, H. (2020) · doi:10.33612/diss.144254461 · Cited by 1 · see citing works

Zero-Sum Games for Discrete-Time Systems Based on Model-Free ADP

Zhang, H., Liu, D., Luo, Y., & Wang, D. (2012) · Communications and control engineering/Communications and control engineering series · doi:10.1007/978-1-4471-4757-2_8

Data-Driven Minimum-Energy Controls for Linear SystemsPreprint

Baggio, G., Katewa, V., & Pasqualetti, F. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1902.02228

Data-Driven Predictive Control for Continuous-Time Industrial Processes with Completely Unknown DynamicsPreprint

Zhou, Y., Li, D., & Xi, Y. (2020) · arXiv (Cornell University) · doi:10.48550/arxiv.2012.03452

A geometric framework for constraints and data: from linear systems to convex processes

Eising, J. (2021) · doi:10.33612/diss.177749387

On recursive Markov parameters estimation for MIMO systems

da Silva, G. R. G., & Lazar, M. (2021) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2021.08.385

Output Feedback Control for Deterministic Unknown Dynamics Discrete-Time System using Deep Recurrent Q-NetworksPreprint

Novitarini, A. (2023) · doi:10.36227/techrxiv.23578710.v1

Output Feedback Control for Deterministic Unknown Dynamics Discrete-Time System using Deep Recurrent Q-NetworksPreprint

Novitarini, A. (2023) · doi:10.36227/techrxiv.23578710

Output Feedback Control for Deterministic Unknown Dynamics Discrete-Time System using Deep Recurrent Q-NetworksPreprint

Novitarini, A. (2023) · doi:10.36227/techrxiv.23578710.v2

Output Feedback Control for Deterministic Unknown Dynamics Discrete-Time System Using Deep Recurrent Q-Networks

Putri, A. N., Hidayat, E., Mahayana, D., & Machbub, C. (2023) · IEEE Access · doi:10.1109/access.2023.3342201

Recursive Subspace Least Squares Estimation for Data-Driven Model Predictive Control and Its Application to Aeroengines

Wang, N., Wen, S.-X., & Wu, Y. (2024) · IEEE International Conference on Industrial Informatics (INDIN) · doi:10.1109/indin58382.2024.10774346

Data-Driven Control Algorithms for Unknown Discrete-Time Linear Periodic Systems

Wu, A., Meng, Y., & Mei, J. (2025) · IEEE Transactions on Circuits and Systems I Regular Papers · doi:10.1109/tcsi.2025.3578505

Output-Feedback Optimal Control to Prevent Hypotension Associated with Labor Epidural Anesthesia

Yang, Z., Dong, Y., Gao, W., Na, Q., & Liu, T. (2025) · Unmanned Systems · doi:10.1142/s2301385026410049

Data-based Optimal Control for The Networked Control System

Zhi-cheng, G. (2012) · Control Engineering of China

Data-Driven Optimal Control of Linear Time-Invariant Systems

Kastsiukevich, D., & Дмитрук, Н. М. (2020) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2020.12.549 · Cited by 4 · see citing works

Data‐driven adaptive optimal control for discrete‐time periodic systems

Wu, A., & Meng, Y. (2024) · International Journal of Robust and Nonlinear Control · doi:10.1002/rnc.7421 · Cited by 6 · see citing works

Data-driven parameterizations of suboptimal LQR and H2 controllers

van Waarde, H. J., & Mesbahi, M. (2020) · IFAC-PapersOnLine · doi:10.1016/j.ifacol.2020.12.2470 · Cited by 33 · see citing works

Iterative Online Optimal Feedback Control

Chen, Y., & Braun, D. J. (2020) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2020.2986211 · Cited by 13 · see citing works