Robust region elimination for piecewise affine control laws

ET Maddalena, RKH Galvão, RJM Afonso - Automatica, 2019 - Elsevier
This paper is concerned with uncertain linear discrete-time systems controlled by a
piecewise affine feedback law defined on a polyhedral domain. Assuming the initial state is …

Approximation of explicit model predictive control using regular piecewise affine functions: an input-to-state stability approach

BAG Genuit, L Lu, W Heemels - IET control theory & applications, 2012 - IET
Piecewise affine (PWA) feedback control laws defined on general polytopic partitions, as for
instance obtained by explicit model predictive control, will often be prohibitively complex for …

Explicit model predictive control of gas–liquid separation plant via orthogonal search tree partitioning

A Grancharova, TA Johansen, J Kocijan - Computers & chemical …, 2004 - Elsevier
Solutions to constrained linear model predictive control (MPC) problems can be pre-
computed off-line in an explicit form as a piecewise linear (PWL) state feedback defined on a …

Multi-resolution explicit model predictive control: Delta-model formulation and approximation

F Bayat, TA Johansen - IEEE transactions on Automatic Control, 2013 - ieeexplore.ieee.org
This paper deals with the explicit solution and approximation of the constrained linear finite
time optimal control problem for systems with fast sampling rates. To this aim, the recently …

Computational burden reduction in min–max MPC

DR Ramírez, T Alamo, EF Camacho - Journal of the Franklin Institute, 2011 - Elsevier
Min–max model predictive control (MMMPC) is one of the strategies used to control plants
subject to bounded uncertainties. The implementation of MMMPC suffers a large …

A patchy approximation of explicit model predictive control

HN Nguyen, S Olaru, M Hovd - International journal of control, 2012 - Taylor & Francis
The explicit solution of multi-parametric optimisation problems (MPOP) has been used to
construct an off-line solution to relatively small-and medium-sized constrained control …

A multiscale approximation scheme for explicit model predictive control with stability, feasibility, and performance guarantees

S Summers, CN Jones, J Lygeros… - Proceedings of the 48h …, 2009 - ieeexplore.ieee.org
In this paper, an algorithm is introduced based on classical wavelet multiresolution analysis
that returns a low complexity explicit model predictive control law built on a hierarchy of …

Survey of explicit approaches to constrained optimal control

A Grancharova, TA Johansen - … : European Summer School on Multi-Agent …, 2005 - Springer
This chapter presents a review of the explicit approaches to optimal control. It is organized
as follows. Section 1 gives a summary of the main results of the optimal control theory …

PlanNetX: Learning an efficient neural network planner from MPC for longitudinal control

J Hoffmann, DF Clausen, J Brosseit… - … Annual Learning for …, 2024 - proceedings.mlr.press
Abstract Model predictive control (MPC) is a powerful, optimization-based approach for
controlling dynamical systems. However, the computational complexity of online …

[图书][B] Symmetric constrained optimal control: Theory, algorithms, and applications

CR Danielson - 2014 - search.proquest.com
Symmetric Constrained Optimal Control: Theory, Algorithms, and Applications by Claus Robert
Danielson A dissertation submitted i Page 1 Symmetric Constrained Optimal Control: Theory …