Input-to-state stabilizing sub-optimal NMPC with an application to DC-DC converters

被引：43
作者：
Lazar, M. [1 ,2 ]
Heemels, W. P. M. H. [1 ,2 ]
Roset, B. J. P. [1 ,2 ]
Nijmeijer, H. [1 ,2 ]
van den Bosch, P. P. J. [1 ,2 ]
机构：
[1] Eindhoven Univ Technol, Dept Elect Engn, NL-5600 MB Eindhoven, Netherlands
[2] Eindhoven Univ Technol, Dept Mech Engn, NL-5600 MB Eindhoven, Netherlands
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2008年 / 18卷 / 08期
关键词：
D O I：
10.1002/rnc.1249
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 article focuses on the synthesis of computationally friendly sub-optimal nonlinear model predictive control (NMPC) algorithms with guaranteed robust stability. To analyse the robustness of the MPC closed-loop system, we employ the input-to-state stability (ISS) framework. To design ISS sub-optimal NMPC schemes, a new Lyapunov-based method is proposed. ISS is ensured via a set of constraints, which can be specified as a finite number of linear inequalities for input affine nonlinear systems. Furthermore, the method allows for online optimization over the ISS gain of the resulting closed-loop system. The potential of the developed theory for the control of fast nonlinear systems, with sampling periods below 1 ms, is illustrated by applying it to control a Buck-Boost DC DC converter. Copyright (c) 2007 John Wiley & Sons, Ltd.
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收藏
页码：890 / 904
页数：15
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