Physical Significance Variable Control for a Class of Fractional-Order Systems

被引：1
|
作者：
Ivanescu, Mircea [1 ]
Popescu, Nirvana [2 ]
Popescu, Decebal [2 ]
机构：
[1] Univ Craiova, Dept Mechatron, 13 Cuza St, Craiova 1100, Romania
[2] Univ Polytehn Bucharest, Dept Comp Sci, 313 Splaiul Independentei, Bucharest, Romania
来源：
CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2021年 / 40卷 / 03期
关键词：
Delay fractional-order systems; Fractional-order systems; Frequency criterion; Fractional-order observer; NEURAL-NETWORKS; STABILITY; SYNCHRONIZATION; CRITERIA; DELAYS;
D O I：
10.1007/s00034-020-01531-6
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
This paper studies a class of fractional-order systems (FOSs) and proposes control laws based on physical significance variables. Lyapunov techniques and the methods that derive from Yakubovici-Kalman-Popov Lemma are used, and the frequency criterions that ensure asymptotic stability of the physical significance variable closed-loop system are inferred. The asymptotic stability of the observer system is studied for a sector control law where the output is defined by the physical significance variables. Frequency criterions and conditions for asymptotic stability are determined. The control techniques are extended to a class of linear delay fractional-order systems and nonlinear FOS. Numerical simulations of a class of systems described by fractional-order models show the method efficiency.
引用
收藏
页码：1525 / 1541
页数：17
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