NDLI: Input-to-state stability of contractive EMPC of non-linear systems with bounded disturbances

Content Provider	IET Digital Library
Author	Defeng, He Tianxiang, Qiu Liangye, Lu
Abstract	In this work, the authors consider the robust control problem of model predictive control (MPC) for economic criterion optimisation of constrained uncertain non-linear systems with unknown but bounded additive disturbances. The authors propose a robust economic MPC (EMPC) scheme with guaranteed input-to-state stability (ISS) to solve the robust control problem. By imposing a modified Lyapunov-based contractive constraint, the optimal control problem of the EMPC is formulated based on the nominal state prediction of the uncertain system. Then some sufficient conditions of Lipschitz continuity and terminal elements are derived to guarantee recursive feasibility and ISS of the EMPC with respect to the disturbance by the arguments of robust invariant sets and ISS. Two examples consisting of a chemical reaction process and a vehicle system are used to demonstrate the effectiveness of the proposed scheme.
Starting Page	651
Ending Page	658
Page Count	8
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 5, Mar (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/5
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5708
Journal	IET Control Theory & Applications
Publisher Date	2019-01-31
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Bounded Additive Disturbances Chemical Reaction Process Constrained Uncertain Nonlinear System Contractive EMPC Control System Analysis Control System Synthesis Economic Criterion Optimisation Economics Input-to-state Stability ISS Lipschitz Continuity Lyapunov Method Lyapunov-based Contractive Constraint Model Predictive Control Nominal State Prediction Nonlinear Control System Optimal Control Optimisation Optimisation Technique Predictive Control Robust Control Robust Control Problem Robust Economic MPC Scheme Robust Invariant Sets Stability in Control Theory Synthesis Method Uncertain System Vehicle System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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