Stability analysis of nonlinear telerobotic systems with time-varying communication channel delays using general integral inequalities

被引:19
作者
Baranitha, R. [1 ]
Rakkiyappan, R. [1 ]
Mohajerpoor, Reza [2 ]
Al-Wais, Saba [3 ]
机构
[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India
[2] Univ Sydney, Sch Civil Engn, Sydney, NSW, Australia
[3] Univ Technol Baghdad, Baghdad 00964, Iraq
关键词
Bilateral teleoperation; Linear matrix inequality; Passive teleoperator; Position-position and position-force control architectures; BILATERAL TELEOPERATION; LINEAR-SYSTEMS; CRITERIA; TRACKING; CONTROLLER; DESIGN;
D O I
10.1016/j.ins.2018.07.014
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Existing controller synthesis schemes for teleoperation of nonlinear master-slave systems with time-varying communication channel are subject to conservative stability criteria. This paper presents a new stability criteria for bilateral tele-operation systems with proportional-derivative, position-position and position-force control architectures, considering both passive/non-passive human operator. The communication channel pertains unknown asymmetric time-varying delays with given lower and upper-bounds. Using the Lyapunov Krasovskii approach, the stability analysis of the dynamic system is examined and the stability conditions are derived in the form of Linear Matrix Inequalities (LMIs). Advanced techniques have been employed to find less conservative integral inequalities in the process of stability analysis of the closed-loop teleoperator. Illustrative numerical examples and simulation results emphasize the effectiveness of the proposed stability criteria in enlarging the stability bounds and providing efficient control performances. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码:353 / 372
页数:20
相关论文
共 46 条
[41]   Robust H∞ filtering for a class of uncertain linear systems with time-varying delay [J].
Zhang, Xian-Ming ;
Han, Qing-Long .
AUTOMATICA, 2008, 44 (01) :157-166
[42]   Hierarchical Type Stability Criteria for Delayed Neural Networks via Canonical Bessel-Legendre Inequalities [J].
Zhang, Xian-Ming ;
Han, Qing-Long ;
Zeng, Zhigang .
IEEE TRANSACTIONS ON CYBERNETICS, 2018, 48 (05) :1660-1671
[43]   An improved reciprocally convex inequality and an augmented Lyapunov-Krasovskii functional for stability of linear systems with time-varying delay* [J].
Zhang, Xian-Ming ;
Han, Qing-Long ;
Seuret, Alexandre ;
Gouaisbaut, Frederic .
AUTOMATICA, 2017, 84 :221-226
[44]   Novel delay-derivative-dependent stability criteria using new bounding techniques [J].
Zhang, Xian-Ming ;
Han, Qing-Long .
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2013, 23 (13) :1419-1432
[45]   Network-based H∞ filtering using a logic jumping-like trigger [J].
Zhang, Xian-Ming ;
Han, Qing-Long .
AUTOMATICA, 2013, 49 (05) :1428-1435
[46]   Global Asymptotic Stability for a Class of Generalized Neural Networks with Interval Time-Varying Delays [J].
Zhang, Xian-Ming ;
Han, Qing-Long .
IEEE TRANSACTIONS ON NEURAL NETWORKS, 2011, 22 (08) :1180-1192