Regular Papers
International Journal of Control, Automation and Systems 2010; 8(2): 187-197
Published online April 16, 2010
https://doi.org/10.1007/s12555-010-0202-z
© The International Journal of Control, Automation, and Systems
Stability Analysis of Classic Finite Horizon Model Predictive Control
This paper revisits the stability issue of earlier model predictive control (MPC) algorithms where the performance index has a finite receding horizon and there is no terminal penalty in the performance index or other constraints added in online optimisation for the purpose of stability. Stability conditions are presented for MPC of constrained linear and nonlinear systems, and there is no restriction on the length of the horizon. These conditions can be used to test whether or not desired stability properties can be achieved under chosen state and control weightings.
Keywords Constrained control, finite horizon, Lyapunov theory, nonlinear systems, predictive control, stability.
PDF
Standard view
Export citation
Share Article
Regular Papers
International Journal of Control, Automation and Systems 2010; 8(2): 187-197
Published online April 1, 2010 https://doi.org/10.1007/s12555-010-0202-z
Copyright © The International Journal of Control, Automation, and Systems.
Stability Analysis of Classic Finite Horizon Model Predictive Control
Wen-Hua Chen
Loughborough University, UK
Abstract
This paper revisits the stability issue of earlier model predictive control (MPC) algorithms where the performance index has a finite receding horizon and there is no terminal penalty in the performance index or other constraints added in online optimisation for the purpose of stability. Stability conditions are presented for MPC of constrained linear and nonlinear systems, and there is no restriction on the length of the horizon. These conditions can be used to test whether or not desired stability properties can be achieved under chosen state and control weightings.
Keywords: Constrained control, finite horizon, Lyapunov theory, nonlinear systems, predictive control, stability.
Vol. 23, No. 3, pp. 683~972
Stats or Metrics
Share this article on
Related articles in IJCAS
-
Delay-dependent Stability Criteria for Linear Systems with Two Additive Time-varying Delays
Yan Li*, Tingting Qiu, and Yuehai Yang
International Journal of Control, Automation and Systems 2022; 20(2): 392-402 -
A GGP Approach to Solve Non Convex Min-max Predictive Controller for a Class of Constrained MIMO Systems Described by State-space Models
Amira Kheriji, Faouzi Bouani, and Mekki Ksouri
International Journal of Control, Automation and Systems 2011; 9(3): 452-460 -
Discrete-time (Q, S, R)-α-dissipative Active Braking Controller Synthesis Considering Articulation Angle of Bus-trailer Systems
Rae Cheong Kang, Woo Jin Ahn, Yong Jun Lee*, and Myo Taeg Lim*
International Journal of Control, Automation, and Systems 2025; 23(2): 429-440
