Set Membership approximation theory for fast implementation of Model Predictive Control laws

Automatica ◽  
2009 ◽  
Vol 45 (1) ◽  
pp. 45-54 ◽  
Author(s):  
M. Canale ◽  
L. Fagiano ◽  
M. Milanese
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Approximation Theory ◽  
Control Laws ◽  
Fast Implementation ◽  
Set Membership

scholarly journals A Nonlinear Model Predictive Control with Enlarged Region of Attraction via the Union of Invariant Sets

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 2087
Author(s):  
Ismi Rosyiana Fitri ◽  
Jung-Su Kim
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Convex Combination ◽  
Invariant Sets ◽  
Region Of Attraction ◽  
Control Laws ◽  
Terminal Set ◽  
The One ◽  
The Given ◽  
Regions Of Attraction

In the dual-mode model predictive control (MPC) framework, the size of the stabilizable set, which is also the region of attraction, depends on the terminal constraint set. This paper aims to formulate a larger terminal set for enlarging the region of attraction in a nonlinear MPC. Given several control laws and their corresponding terminal invariant sets, a convex combination of the given sets is used to construct a time-varying terminal set. The resulting region of attraction is the union of the regions of attraction from each invariant set. Simulation results show that the proposed MPC has a larger stabilizable initial set than the one obtained when a fixed terminal set is used.

scholarly journals Dynamic Output Feedback Robust Model Predictive Control via Zonotopic Set-Membership Estimation for Constrained Quasi-LPV Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Xubin Ping ◽  
Ning Sun
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Output Feedback ◽  
Estimation Error ◽  
Sampling Time ◽  
Dynamic Output Feedback ◽  
Robust Model Predictive Control ◽  
Dynamic Output ◽  
Robust Model ◽  
Set Membership

For the quasi-linear parameter varying (quasi-LPV) system with bounded disturbance, a synthesis approach of dynamic output feedback robust model predictive control (OFRMPC) is investigated. The estimation error set is represented by a zonotope and refreshed by the zonotopic set-membership estimation method. By properly refreshing the estimation error set online, the bounds of true state at the next sampling time can be obtained. Furthermore, the feasibility of the main optimization problem at the next sampling time can be determined at the current time. A numerical example is given to illustrate the effectiveness of the approach.

Design of Robust Predictive Control Laws Using Set Membership Identified Models

2012 ◽  
Vol 15 (6) ◽  
pp. 1714-1722 ◽  
Author(s):  
M. Canale ◽  
L. Fagiano ◽  
M.C. Signorile
Keyword(s):  
Predictive Control ◽  
Control Laws ◽  
Set Membership ◽  
Robust Predictive Control

scholarly journals Stabilizing Model Predictive Control of a Gantry Crane Based on Flexible Set-Membership Constraints

2015 ◽  
Vol 48 (23) ◽  
pp. 248-253 ◽  
Author(s):  
Šandor Ileš ◽  
Mircea Lazar ◽  
Fetah Kolonić ◽  
Jadranko Matuško
Keyword(s):  
Model Predictive Control ◽  
Predictive Control ◽  
Gantry Crane ◽  
Set Membership
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