FIR-type robust H2 and H∞ control of discrete linear time-invariant polytopic systems via memory state-feedback control laws

被引：0
作者：
Dong Hwan Lee
Young Hoon Joo
Sung Kwan Kim
机构：
[1] Purdue University,Department of Electrical and Computer Engineering
[2] Kunsan National University,Department of Control and Robotics Engineering
来源：
International Journal of Control, Automation and Systems | 2015年 / 13卷
关键词：
Linear matrix inequality (LMI); linear polytopic uncertain systems; parameter-dependent quadratic Lyapunov function (PD-QLF); relaxation; robust control;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, robust H2 and H∞ control problems for discrete linear time-invariant (LTI) systems with polytopic uncertainties are addressed. The so-called finite impulse response (FIR) controller incorporating the states over several samples from the past to the present is adopted to design robust control laws with improved performances. For the closed-loop stability, parameter-dependent quadratic Lyapunov functions (PD-QLFs) are employed. Sufficient controller synthesis conditions are derived in the form of linear matrix inequalities (LMIs). Finally, examples are given to demonstrate the usefulness of the proposed methods.
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页码：1047 / 1056
页数：9
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