On the stability of receding horizon control based on horizon size for linear discrete systems

2011 ◽  
Vol 25 (1) ◽  
pp. 233-238
Author(s):  
Myung-Hwan Oh ◽  
Jun-Ho Oh
Keyword(s):  
Discrete Systems ◽  
Receding Horizon Control ◽  
Receding Horizon ◽  
The Stability ◽  
Linear Discrete Systems

scholarly journals Robust Receding Horizon Control with Free Control Moves for Polytopic Parametric Uncertainty Systems Subject to Multiple Input Delays

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Jiandong Yang ◽  
Yuanli Cai ◽  
Baocang Ding
Keyword(s):  
Parametric Uncertainty ◽  
Receding Horizon Control ◽  
Receding Horizon ◽  
Augmented Feedback ◽  
Online Computation ◽  
Multiple Input ◽  
Augmented State ◽  
The Stability ◽  
Input Delays ◽  
Multiple Input Delays

A robust receding horizon control (RHC) with free control moves is applied to polytopic parametric uncertainty systems with multiple input delays and unstable system matrices. A difficulty in the previous robust RHC work is that the free control moves are unsuitable for the system with input time delay, which is overcome in this paper by the design based on the augmented state. As a result, the synthesis of local control based on augmented feedback is given offline to alleviate the online computation burden. The free control moves before the augmented feedback are the online decision variables, which are solved by minimizing a sequence of nonnegative scalars online. The recursive feasibility is guaranteed by adopting the augmented state space equation. By adjusting the robust positively invariant set, the stability of the closed-loop system is guaranteed. Simulation results demonstrate that the proposed algorithm improves the control performance effectively.

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