Explicit Feedback Synthesis Driven by Quasi-Interpolation for Nonlinear Model Predictive Control

• 成果类型: Article
• 署名作者: Ganguly, Siddhartha; Chatterjee, Debasish
• 署名单位: Indian Institute of Technology System (IIT System); Indian Institute of Technology (IIT) - Bombay
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2025.3538767
• 发表日期: 2025
• 页码: 4751-4758
• 关键词: approximation algorithms; uncertainty; Prediction algorithms; Heuristic algorithms; vectors; Numerical stability; Stability criteria; Power system stability; Artificial neural networks; Predictive control; Control policies; model predictive control (MPC); Robust control; uniform approximation

摘要

In this article, we present quasi-interpolation-driven feedback synthesis (QuIFS): an offline feedback synthesis algorithm for explicit nonlinear robust minmax model predictive control (MPC) problems with guaranteed quality of approximation. The underlying technique is driven by a particular type of grid-based quasi-interpolation scheme. The QuIFS algorithm departs drastically from conventional approximation algorithms that are employed in the MPC industry (in particular, it is neither based on multiparametric programming tools nor does it involve kernel methods), and the essence of its point of departure is encoded in the following challenge-answer approach: Given an error margin epsilon>0, compute in a single stroke a feasible feedback policy that is uniformly epsilon-close to the optimal MPC feedback policy for a given nonlinear system subjected to constraints and bounded uncertainties. Closed-loop stability guarantees under the approximate feedback policy are also established. We provide a couple of numerical examples to illustrate our results.