CAJ | 학술논문

本文研究了一类不确定线性切换系统的二次鲁棒稳定性问题.首先利用矩阵集的严格完备性设计切换律,导出了二次鲁棒稳定的充分条件.同时得到了在任意切换策略下,当矩阵集的所有矩阵为负定时保证切换系统二次鲁棒稳定性.在适当的假设下,这些条件可以表示为矩阵不等式.最后,用数值例子对所得结果加以阐明,说明了文中结果的正确性.
본문연구료일류불학정선성절환계통적이차로봉은정성문제.수선이용구진집적엄격완비성설계절환률,도출료이차로봉은정적충분조건.동시득도료재임의절환책략하,당구진집적소유구진위부정시보증절환계통이차로봉은정성.재괄당적가설하,저사조건가이표시위구진불등식.최후,용수치례자대소득결과가이천명,설명료문중결과적정학성.
This paper investigates the quadratic robust stability problem for a class of switched linear systems with uncertainties. We show that the strict completeness of certain family of matrices guarantees quadratic robust stability. A switching law is also designed according to the strict completeness. When all matrices of this family are negative definite, quadratic robust stability under arbitrary switching laws is obtained. Under appropriate assumptions, the conditions are expressed in the LMIs form. A numerical example is given to illustrate the effectiveness of the results.