Stability Analysis of Quadratic MPC With a Discrete Input Alphabet

被引：55

作者：

Aguilera, Ricardo P. ^{[1
]}

Quevedo, Daniel E. ^{[1
]}

机构：

[1] Univ Newcastle, Sch Elect Engn & Comp Sci, Callaghan, NSW 2308, Australia

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 12期

基金：

澳大利亚研究理事会;

关键词：

Finite sets; practical stability; predictive control; quantized systems; MODEL-PREDICTIVE CONTROL; TO-STATE STABILITY; LINEAR-SYSTEMS; STABILIZATION;

D O I：

10.1109/TAC.2013.2264551

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

080201 [机械制造及其自动化];

摘要：

We study stability of Model Predictive Control (MPC) with a quadratic cost function for LTI systems with a discrete input alphabet. Since this kind of systems may present a steady-state error, the focus is on practical stability, i.e., ultimate boundedness of solutions. To derive sufficient conditions for practical stability and characterize the ultimately invariant set, we analyze the one-step horizon solution and adapt tools used for convex MPC formulations.

引用

页码：3190 / 3196

页数：8

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