Analytical expression of explicit MPC solution via lattice piecewise-affine function
From MaRDI portal
Publication:1023352
DOI10.1016/j.automatica.2008.11.023zbMath1162.93358OpenAlexW2068820478MaRDI QIDQ1023352
B. Erik Ydstie, Chengtao Wen, Xiao-Yan Ma
Publication date: 11 June 2009
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.automatica.2008.11.023
canonical representationlattice piecewise-affine functionmulti-parametric programexplicit MPC solutiongeneral piecewise-affine expression
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (16)
Irredundant lattice representations of continuous piecewise affine functions ⋮ K-d tree based approach for point location problem in explicit model predictive control ⋮ Sampling‐based 3‐D line‐of‐sight PWA model predictive control for autonomous rendezvous and docking with a tumbling target ⋮ Stabilizing polynomial approximation of explicit MPC ⋮ Robust region elimination for piecewise affine control laws ⋮ Robust tube-based MPC with piecewise affine control laws ⋮ An off-line NMPC strategy for continuous-time nonlinear systems using an extended modal series method ⋮ Model predictive control for the Internet of things ⋮ Explicit model predictive control: a connected-graph approach ⋮ Complexity reduction of explicit model predictive control via separation ⋮ Comments on ``Analytical expression of explicit MPC solution via lattice piecewise-affine function [Automatica 45 (2009) 910-917] ⋮ Reply to ``comments on `analytical expression of explicit MPC solution via lattice piecewise-affine function' [Automatica 45 (2009) 910-917] ⋮ Nearly optimal simple explicit MPC controllers with stability and feasibility guarantees ⋮ Constrained robust model predictive control via parameter-dependent dynamic output feedback ⋮ Using hash tables to manage the time-storage complexity in a point location problem: application to explicit model predictive control ⋮ Grid k-d tree approach for point location in polyhedral data sets – application to explicit MPC
Uses Software
Cites Work
- A representation method for PWL functions oriented to parallel processing
- A logarithmic-time solution to the point location problem for parametric linear programming
- Improving off-line approach to robust MPC based-on nominal performance cost
- Evaluation of piecewise affine control via binary search tree
- Suboptimal explicit receding horizon control via approximate multiparametric quadratic pro\-gramming
- Region configurations for realizability of lattice piecewise-linear models.
- Explicit sub-optimal linear quadratic regulation with state and input constraints
- Identification of dynamic systems using piecewise-affine basis function models
- Continuous selection and unique polyhedral representation of solutions to convex parametric quadratic programs
- Efficient On-Line Computation of Constrained Optimal Control
- A generalized canonical piecewise-linear representation
- The complete canonical piecewise-linear representation. I. The geometry of the domain space
- A compact f-f model of high-dimensional piecewise-linear function over a degenerate intersection
- A novel compact piecewise-linear representation
- Approximate explicit constrained linear model predictive control via orthogonal search tree
- Model predictive control based on linear programming - the explicit solution
- Relaxing Dynamic Programming
- Hybrid Systems: Computation and Control
- The explicit linear quadratic regulator for constrained systems
This page was built for publication: Analytical expression of explicit MPC solution via lattice piecewise-affine function