Lyapunov-based MPC with robust moving horizon estimation and its triggered implementation

• Published in: AIChE journal Vol. 59; no. 11; pp. 4273 - 4286
• Main Authors: Zhang, Jing, Liu, Jinfeng
• Format: Journal Article
• Language: English
• Published: New York Blackwell Publishing Ltd 01.11.2013; American Institute of Chemical Engineers
• Subjects: chemical processes; Control systems; Estimating techniques; Mathematical models; model predictive control; moving horizon estimation; Nonlinear systems; Predictive control; process control; Sampling
• ISSN: 0001-1541; 1547-5905
• DOI: 10.1002/aic.14187

In this work, we consider moving horizon state estimation (MHE)‐based model predictive control (MPC) of nonlinear systems. Specifically, we consider the Lyapunov‐based MPC (LMPC) developed in (Mhaskar et al., IEEE Trans Autom Control. 2005;50:1670–1680; Syst Control Lett. 2006;55:650–659) and the robust MHE (RMHE) developed in (Liu J, Chem Eng Sci. 2013;93:376–386). First, we focus on the case that the RMHE and the LMPC are evaluated every sampling time. An estimate of the stability region of the output control system is first established; and then sufficient conditions under which the closed‐loop system is guaranteed to be stable are derived. Subsequently, we propose a triggered implementation strategy for the RMHE‐based LMPC to reduce its computational load. The triggering condition is designed based on measurements of the output and its time derivatives. To ensure the closed‐loop stability, the formulations of the RMHE and the LMPC are also modified accordingly to account for the potential open‐loop operation. A chemical process is used to illustrate the proposed approaches. © 2013 American Institute of Chemical Engineers AIChE J, 59: 4273–4286, 2013