A family of piecewise affine control Lyapunov functions

被引：4

作者：

Ngoc Anh Nguyen ^{[1
]}

Olaru, Sorin ^{[1
]}

机构：

[1] Univ Paris Saclay, Cent Supelec CNRS UPS, Lab Signals & Syst, Gif Sur Yvette, France

来源：

AUTOMATICA | 2018年 / 90卷

关键词：

Control Lyapunov function; Robust control; Convex lifting; DISCRETE-TIME-SYSTEMS; MODEL-PREDICTIVE CONTROL; LINEAR-SYSTEMS; CONTROL CONSTRAINTS; POLYHEDRAL-SETS; INVARIANT-SETS; STATE; STABILITY; UNCERTAIN;

D O I：

10.1016/j.automatica.2017.12.052

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 presents a novel method to construct a family of piecewise affine control Lyapunov functions. Unlike most of existing methods which require the contractivity of their domain of definition, the proposed control Lyapunov functions are defined over a so-called N-step controllable set, which is known not to be contractive. Accordingly, a robust control design procedure is presented which only requires solving a linear programming problem at each sampling time. The construction is finally illustrated via a numerical example. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：212 / 219

页数：8

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