New Robust Model Predictive Control for Uncertain Systems with Input Constraints Using Relaxation Matrices

被引:0
作者
S. M. Lee
S. C. Won
J. H. Park
机构
[1] KT Co. Ltd.,Platform Verification Division, BcN Business Unit
[2] Pohang University of Science and Technology,Department of Electronic and Electrical Engineering
[3] Yeungnam University,Department of Electrical Engineering
来源
Journal of Optimization Theory and Applications | 2008年 / 138卷
关键词
Model predictive control; Time-varying uncertain systems; Input constraints; LMIs;
D O I
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中图分类号
学科分类号
摘要
In this paper, we propose a new robust model predictive control (MPC) method for time-varying uncertain systems with input constraints. We formulate the problem as a minimization of the worst-case finite-horizon cost function subject to a new sufficient condition for cost monotonicity. The proposed MPC technique uses relaxation matrices to derive a less conservative terminal inequality condition. The relaxation matrices improve feasibility and system performance. The optimization problem is solved by semidefinite programming involving linear matrix inequalities (LMIs). A numerical example shows the effectiveness of the proposed method.
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页码:221 / 234
页数:13
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