NDLI: Control scheme for LTI systems with Lipschitz non-linearity and unknown time-varying input delay

Content Provider	IET Digital Library
Author	Wang, Chunyan Zuo, Zongyu Ding, Zhengtao
Abstract	In this study, the authors propose a control structure for a class of linear time-invariant (LTI) systems with Lipschitz non-linearity and unknown time-varying input delay. This scheme considers the worst-case scenario in control design with truncated prediction feedback approach, and takes into account the information of the lower bound of delay in the stability analysis. A finite-dimensional controller is constructed, requiring neither the non-linear function nor the exact delay function. The truncated prediction deviation is minimised by employing the delay range, and then bounded by integral construction and related techniques. Within the framework of Lyapunov–Krasovskii functionals, sufficient delay–range-dependent conditions are derived for the closed-loop system to guarantee the global stability. Two numerical examples are given to validate the proposed control design.
Starting Page	3191
Ending Page	3195
Page Count	5
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 17, Nov (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/17
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2017.0286
Journal	IET Control Theory & Applications
Publisher Date	2017-09-04
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Closed-loop System Control Design Control Structure Control System Analysis Control System Synthesis Delay Delay-range-dependent Condition Distributed Parameter Control System Exact Delay Function Finite-dimensional Controller Global Stability Integral Construction Lipschitz Nonlinearity LTI System Lyapunov Method Lyapunov-Krasovskii Functionals Nonlinear Function Stability Stability Analysis Stability in Control Theory Synthesis Method Time Varying Control System Time Varying System Truncated Prediction Deviation Truncated Prediction Feedback Unknown Time-varying Input Delay Worst case Scenario
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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