This paper presents an iterative data-driven algorithm for solving dynamic multi-objective (MO) optimal control problems arising in control of nonlinear continuous-time systems. It is first shown that the Hamiltonian functional corresponding to each objective can be leveraged to compare the performance of admissible policies. Hamiltonian-inequalities are then used for which their satisfaction guarantees satisfying the objectives' aspirations. An aspiration-satisfying dynamic optimization framework is then presented to optimize the main objective while satisfying the aspiration of other objectives. Relation to satisficing (good enough) decision-making framework is shown. A Sum-of-Square (SOS) based iterative algorithm is developed to solve the formulated aspiration-satisfying MO optimization. To obviate the requirement of complete knowledge of the system dynamics, a data-driven satisficing reinforcement learning approach is proposed to solve the SOS optimization problem in real-time using only the information of the system trajectories measured during a time interval without having full knowledge of the system dynamics. Finally, two simulation examples are provided to show the effectiveness of the proposed algorithm.
Prescribed Performance Control Guided Policy Improvement for Satisfying Signal Temporal Logic Tasks
Division of Decision and Control Systems, School of Electrical Engineering and Computer Science, KTH Royal Institute of Technology(决策与控制系统系,电气工程学院和计算机科学学院,皇家理工学院)
Event-Triggered Practical Fixed-Time Integral Reinforcement Learning for Unknown Nonlinear Systems
Faculty of Mechanical Engineering, Ho Chi Minh City University of Technology (HCMUT), Vietnam National University Ho Chi Minh City (VNU-HCM)(胡志明市技术大学机械工程学院,越南国立大学胡志明市);Department of Mathematics and Statistics, University of New Mexico(新墨西哥大学数学与统计系)
A Dual-Positive Monotone Parameterization for Multi-Segment Bids and a Validity Assessment Framework for Reinforcement Learning Agent-based Simulation of Electricity Markets
School of Electric Power Engineering, South China University of Technology(华南理工大学电力学院);Department of Engineering, University of Exeter(埃克塞特大学工程学院)
Safe Reinforcement Learning Using Advantage-Based Intervention
Institute for Robotics and Intelligent Machines, Georgia Institute of Technology(佐治亚理工学院机器人与智能机器研究所);Paul G. Allen School of Computer Science and Engineering, University of Washington(华盛顿大学保罗·G·艾伦计算机科学与工程学院);Microsoft Research(微软研究院)