A Distributionally Robust Optimization Based Method for Stochastic Model Predictive Control

• 成果类型: Article
• 署名作者: Li, Bin; Tan, Yuan; Wu, Ai-Guo; Duan, Guang-Ren
• 署名单位: Sichuan University; Southeast University - China; Harbin Institute of Technology; Harbin Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3124750
• 发表日期: 2022
• 页码: 5762-5776
• 关键词: Optimization; Stochastic processes; Predictive control; Prediction algorithms; CONVERGENCE; computational complexity; Chebyshev approximation; chance constraints; distributionally robust optimization (DRO); stochastic model predictive control (SMPC)

摘要

Two stochastic model predictive control algorithms, which are referred to as distributionally robust model predictive control algorithms, are proposed in this article for a class of discrete linear systems with unbounded noise. Participially, chance constraints are imposed on both of the state and the control, which makes the problem more challenging. Inspired by the ideas from distributionally robust optimization (DRO), two deterministic convex reformulations are proposed for tackling the chance constraints. Rigorous computational complexity analysis is carried out to compare the two proposed algorithms with the existing methods. Recursive feasibility and convergence are proven. Simulation results are provided to show the effectiveness of the proposed algorithms.