The theory of dual control was introduced more than seven decades ago. Although it has provided rich insights to the fields of control, estimation, and system identification, dual control is generally computationally prohibitive. In recent years, however, the use of Koopman operator theory for control applications has been emerging. This paper presents a new reformulation of the stochastic optimal control problem that, employing the Koopman operator, yields a standard LQR problem with the dual control as its solution. We provide a numerical example that demonstrates the effectiveness of the proposed approach compared with certainty equivalence control, when applied to systems with varying observability.
An overview of Koopman-based control: From error bounds to closed-loop guarantees
University of Stuttgart（斯图加特大学）；Technische Universitat Ilmenau（伊尔梅瑙工业大学）；University of California, Santa Barbara（加州大学圣塔芭芭拉分校）；Chemnitz University of Technology（开姆尼茨工业大学）
Bridging Data-Driven and Physics-Based Models: A Consensus Multi-Model Kalman Filter for Robust Vehicle State Estimation
Department of Mechanical and Mechatronics Engineering, University of Waterloo（滑铁卢大学机械与机电工程系）；Department of Mechanical Engineering, University of Ottawa（渥太华大学机械工程系）
Mitigating Traffic Oscillations in Mixed Traffic Flow with Scalable Deep Koopman Predictive Control
School of Transportation, Southeast University, Nanjing, China, 211189（东南大学交通学院）；Jiangsu Key Laboratory of Urban ITS, Nanjing, China, 210096（江苏省城市智能交通重点实验室）；Jiangsu Collaborative Innovation Center of Modern Urban Traffic Technologies, Nanjing, China, 210096（江苏省现代城市交通技术协同创新中心）；Department of Civil Engineering, Institute of Transport Studies, Monash University, Melbourne, Australia, VIC 3800（莫纳什大学土木工程系）；College of Transportation Engineering, Tongji University, Shanghai, PR China, 201804（同济大学交通工程学院）
Design of Privacy-Preserving Estimators Under Prior Information Exposure
Faculty of Science and Engineering, University of Groningen（格罗宁根大学理工学部）；Graduate School of Advance Science and Engineering, Hiroshima University（广岛大学先端理工学研究科）
