Guarantees for data-driven control of nonlinear systems using semidefinite programming: A survey

Learning Controllers from Data via Approximate Nonlinearity Cancellation

(2023) C. De Persis et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Data-Based Control of Feedback Linearizable Systems

(2023) Mohammad Alsalti et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Data-driven simulation of generalized bilinear systems via linear time-invariant embedding

(2022) Ivan Markovsky   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Robust tube-based model predictive control with Koopman operators

(2022) Xinglong Zhang et al.   AUTOMATICA

On data-driven stabilization of systems with nonlinearities satisfying quadratic constraints

(2022) Alessandro Luppi et al.   SYSTEMS & CONTROL LETTERS

Towards a Taylor-Carleman bilinearization approach for the design of nonlinear state-feedback controllers

(2022) Damiano Rotondo et al.   EUROPEAN JOURNAL OF CONTROL

Data-driven control via Petersen’s lemma

(2022) Andrea Bisoffi et al.   AUTOMATICA

Linear Tracking MPC for Nonlinear Systems—Part II: The Data-Driven Case

(2022) Julian Berberich et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Finite-Data Error Bounds for Koopman-Based Prediction and Control

(2022) Feliks Nüske et al.   JOURNAL OF NONLINEAR SCIENCE

Data-Driven Gain Scheduling Control of Linear Parameter-Varying Systems Using Quadratic Matrix Inequalities

(2022) Jared Miller et al.   IEEE Control Systems Letters

Robust Local Stabilization of Nonlinear Systems With Controller-Dependent Norm Bounds: A Convex Approach With Input-Output Sampling

(2022) Sze Kwan Cheah et al.   IEEE Control Systems Letters

Robust Uncertainty Bounds in Reproducing Kernel Hilbert Spaces: A Convex Optimization Approach

(2022) Paul Scharnhorst et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Data-Driven Inference on Optimal Input–Output Properties of Polynomial Systems With Focus on Nonlinearity Measures

(2022) Tim Martin et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Combining Prior Knowledge and Data for Robust Controller Design

(2022) Julian Berberich et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Deterministic error bounds for kernel-based learning techniques under bounded noise

(2021) Emilio Tanowe Maddalena et al.   AUTOMATICA

Determining optimal input–output properties: A data-driven approach

(2021) Anne Koch et al.   AUTOMATICA

Provably Robust Verification of Dissipativity Properties from Data

(2021) Anne Koch et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Data-Driven Stabilization of Nonlinear Polynomial Systems With Noisy Data

(2021) Meichen Guo et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Maximum Likelihood Estimation in Data-Driven Modeling and Control

(2021) Mingzhou Yin et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Data-Driven Model Predictive Control With Stability and Robustness Guarantees

(2020) Julian Berberich et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

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

(2020) Henk J. van Waarde et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Feedback Control Design Using MPC Formulation and Carleman Approximation Method

(2019) Negar Hashemian et al.   AICHE JOURNAL

Formulas for Data-Driven Control: Stabilization, Optimality, and Robustness

(2019) Claudio De Persis et al.   IEEE TRANSACTIONS ON AUTOMATIC CONTROL

Linear predictors for nonlinear dynamical systems: Koopman operator meets model predictive control

(2018) Milan Korda et al.   AUTOMATICA

Deep learning for universal linear embeddings of nonlinear dynamics

(2018) Bethany Lusch et al.   Nature Communications

On Convergence of Extended Dynamic Mode Decomposition to the Koopman Operator

(2017) Milan Korda et al.   JOURNAL OF NONLINEAR SCIENCE

Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control

(2016) Steven L. Brunton et al.   PLoS One

A review on data-driven linear parameter-varying modeling approaches: A high-purity distillation column case study

(2014) A.A. Bachnas et al.   JOURNAL OF PROCESS CONTROL

Direct feedback control design for nonlinear systems

(2013) C. Novara et al.   AUTOMATICA

The advantages of directly identifying continuous-time transfer function models in practical applications

(2013) Hugues Garnier et al.   INTERNATIONAL JOURNAL OF CONTROL

Isostables, isochrons, and Koopman spectrum for the action–angle representation of stable fixed point dynamics

(2013) A. Mauroy et al.   PHYSICA D-NONLINEAR PHENOMENA

From model-based control to data-driven control: Survey, classification and perspective

(2012) Zhong-Sheng Hou et al.   INFORMATION SCIENCES

Systematic and effective design of nonlinear feedback controllers via the state-dependent Riccati equation (SDRE) method

(2010) Tayfun Çimen   ANNUAL REVIEWS IN CONTROL

The scenario approach for systems and control design

(2009) Marco C. Campi et al.   ANNUAL REVIEWS IN CONTROL

Data-driven simulation and control

(2008) Ivan Markovsky et al.   INTERNATIONAL JOURNAL OF CONTROL