Ultra-Fast Stabilizing Model Predictive Control via Canonical Piecewise Affine Approximations

被引：81

作者：

Bemporad, Alberto ^{[1
]}

Oliveri, Alberto ^{[2
]}

Poggi, Tomaso ^{[2
]}

Storace, Marco ^{[2
]}

机构：

[1] IMT Inst Market Technol, Inst Adv Studies, I-55100 Lucca, Italy

[2] Univ Genoa, Dept Biophys & Elect Engn, I-16145 Genoa, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2011年 / 56卷 / 12期

关键词：

Hardware synthesis; model predictive control (MPC); piecewise affine (PWA) approximations; CELLULAR NONLINEAR NETWORKS; RECEDING HORIZON CONTROL; SYSTEMS; IMPLEMENTATION; REGULATOR; ALGORITHM;

D O I：

10.1109/TAC.2011.2141410

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the use of canonical piecewise affine (PWA) functions for approximation and fast implementation of linear MPC controllers. The control law is approximated in an optimal way over a regular simplicial partition of a given set of states of interest. The stability properties of the resulting closed-loop system are analyzed by constructing a suitable PWA Lyapunov function. The main advantage of the proposed approach to the implementation of MPC controllers is that the resulting stabilizing approximate MPC controller can be implemented on chip with sampling times in the order of tens of nanoseconds.

引用

页码：2877 / 2891

页数：15

共 53 条

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