Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure
Automation, Control and Intelligent Systems
Volume 6, Issue 4, August 2018, Pages: 38-46
Received: Oct. 8, 2018;
Accepted: Nov. 19, 2018;
Published: Dec. 18, 2018
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Xin Tang, College of Computer Science and Technology, Shandong University of Technology, Zibo, China
Nan Xie, College of Computer Science and Technology, Shandong University of Technology, Zibo, China
Bin Xia, College of Computer Science and Technology, Shandong University of Technology, Zibo, China
Nana Wang, College of Computer Science and Technology, Shandong University of Technology, Zibo, China
The guaranteed cost control problem is studied in this paper for a class of nonlinear discrete-time systems with both time-varying parametric uncertainty and actuator failures. At present, the researches on related fields of networked control systems are relatively mature, and many achievements have been made. But at the same time, most of the researches are focused on linear networked control systems, and the research on nonlinear networked control systems is relatively less. The goal is to design a non-fragile state feedback control law so that the closed-loop system is asymptotically stable and the closed-loop cost function value is no more than a specified upper bound for all admissible uncertainties. Firstly, the system model is established by using the method of variable sampling period. Secondly, the sufficient conditions for the asymptotic stability of the closed-loop system are given by using Lyapunov stability theory. Thirdly, based on the above researches, a non-fragile state feedback controller is designed by using linear matrix inequality (LMI). In the end, through the study of this paper, the cost function of the system under the designed non-fragile guaranteed cost controller does not exceed the given upper bound. This paper considers the actuator failure, and gives the design method of the non-fragile guaranteed cost controller of the nonlinear network control system, and makes a contribution to the field of network control system.
Non-Fragile Control for Variable Sampling Period Network Control System with Actuator Failure, Automation, Control and Intelligent Systems.
Vol. 6, No. 4,
2018, pp. 38-46.
ANTSAKLIS P, BAILLIEUL J. Special issue on Technology of Networked Control Systems [J]. Proceedings of the IEEE, 2007, 95(1): 5-8.
You K Y, Xie L H. Survey of Recent Progress in Networked Control Systems [J]. ACTA AUTOMATICA SINICA, 2013, 39(2): 101−118.
Ren J X, Liu L M. Survey of Networked Control Systems [J]. Industrial Control Computer, 2016, 29(8): 91-92.
Wei L. Analysis of the Development of Networked Control Systems [J]. Technology Outlook, 2016 (05): 14-14.
Dong Z J. Modeling and Stability Analysis of Networked Control Systems [D]. North China Electric Power University, 2015.
Walsh G C, Beldiman O, Bushnell L G. Asymptotic Behavior of Nonlinear Networked Control Systems [J]. IEEE Trans. On Automatic Control, 2001, 46(7): 1093-1097.
Zhang W, Branicky M S, Phillips S M. Stability of Networked Control Systems [J]. IEEE Control System Magazine, 2001, 21(1): 84-99.
Zhang J, Luo D Y, Sun M P. A New Stability Condition for Networked Control Systems with Time-Varying Delays Based on Interval Inequality [J]. ACTA ELECTRONICA SINICA, 2016, 44(1): 54-59.
Yang X W, Guo C X. Stability Design of Networked Control Systems with Uncertain Time Delay [J]. Modern Electronic Technology, 2016, 39 (16): 10 -13.
Wu Y J, Chen Y D, Zhou Z. Research on Stability of Networked Control Systems Based on Feedback Data Delay [J]. Journal of XinYu University, 2017, 22 (3): 31-34.
Shi F F, Huang L, Han J W. Time Delay Compensation for Networked Control Systems with Packet Loss [J]. Journal of Harbin University of Science and Technology, 2017, 22 (3): 36-41.
Tian S. Control Study of Networked Control Systems with Time Delay Packet Loss [J]. Applied Mechanics and Materials, 2016(22): 23-23.
Zhou X, Zhong S M, Kang W, Hu Y G. Random Fault-Tolerant Design of A Class of Networked Control Systems with Stochastic Time-Delay [J]. Journal of Fuyang Normal University, 2013, 30 (3): 1-3.
Pan P, Jiang S, Pan F. Event-Triggered Robust Control for Networked Control Systems with Actuator Failures and Time-varying Transmission Delays [J]. International Journal of Intelligent Computing and Cybernetics, 2015, 8(2): 172-186.
Song J. Fault-Tolerant Control of Networked Control Systems with Time-Varying Actuator Faults [J]. Space Control, 2016 (5): 3-8.
Li Y, Zhang G S, Sun K Q. Guaranteed Cost Control for Networked Control Systems with Time-Varying Bounded and Variable Sampling [J]. Journal of Shenyang Chemical Engineering University, 2016, 30 (4): 378-384.
Zhao Y, Wang Y L. Nonlinear NCS Fault Detection with Variable Sampling Period and Multi-Packet Transmission [J]. Computer measurement and control, 2016, 24 (5): 55-58.
Fan JR, Fang H J. Robust fault-tolerant control for networked systems with variable sampling period [J]. Control Engineering, 2013, 20 (5): 859-863.
Lan Y P, Chen Q L, Hu X C, Liu Y F. Research on Non-Fragile Robust Control of Maglev Permanent Magnet Linear Motor Control System [J]. Journal of Electrical Technology, 2016, 31 (7): 26-32.
Ma W G, Yang Z. Non-Fragile Guaranteed Cost Control for Networked Nonlinear Systems [J]. Computer Engineering and Design, 2014 (10): 3363-3366.
Gao X Q, Hu Y F. Robust Non-Fragile Guaranteed Cost Control with Control Input Constraints [J]. Journal of Shenyang University of Technology, 2015, 37 (5): 571-576.
Yu S Q. Analysis and Synthesis of Networked Control Systems. Xi'an Electronic and Science University, 2014.
Su Y K, Ye F T. Design of a Non-Fragile Guaranteed Cost Controller for Stochastic Systems with Interval Delay [J]. Journal of Bohai University (NATURAL SCIENCE EDITION), 2016, 37 (1): 62-69.
Yu L. "An LMI Approach to Reliable Guaranteed Cost Control of Discrete-time Systems with Actuator Failure."Applied Mathematics & Computation, 2005 (162.3): 1325-1331.
Xie L H. Output Feedback H∞ Control of Systems with Parameter Uncertainty [J]. International Journal of Control, 1996, 63(4): 741-750.