Stability Guaranteed Model Predictive Control With Adaptive Lyapunov Constraint

• Published in: IEEE transactions on automation science and engineering Vol. 21; no. 1; pp. 215 - 225
• Main Authors: Zheng, Yi, Li, Qiangyu, Li, Shaoyuan
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.01.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Chemical reactions; Closed loop systems; Closed loops; Constraint modelling; Control systems design; Controllers; Feedback control; Identification methods; Liapunov functions; Lyapunov methods; Lyapunov technique; Machine learning; Model predictive control; Nonlinear control; nonlinear system; Nonlinear systems; Optimization; Predictive control; Stability analysis; Stabilization; Tracking control; Uncertainty

This paper aims to design a stabilized Adaptive Model Predictive Control (MPC) for nonlinear continuous systems with unknown dynamics at the start time. The proposed method is based on the Lyapunov MPC (LMPC) where the derivative of the Lyapunov function of the closed-loop system is limited to be le...