NDLI: Stability analysis of non-linear systems with multi-input signals sampled and logarithmic quantised in the framework of hybrid systems

Content Provider	IET Digital Library
Author	He, Yan Sun, Xi Ming Wu, Yuhu
Abstract	This study is to estimate the bounds for the maximum allowable sampling interval (MASI) and the coarsest quantisation density (CQD) that guarantee the stability of non-linear systems with multi-input signals sampled and logarithmic quantised. First of all, hybrid feedback systems are proposed to describe the non-linear control systems. Then a sufficient condition is provided to ensure that the systems are uniformly globally exponentially stable. A crucial step is to find a novel Lyapunov function to verify the stability conditions in the sense of the hybrid framework. Meanwhile, explicit bounds for the MASI and CQD are obtained to guarantee stability. Furthermore, in the case of no quantisation or no sampling, some special stability criteria can be also obtained. Finally, some examples are given to illustrate the effectiveness of the proposed theorem.
Starting Page	1744
Ending Page	1752
Page Count	9
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 11, Jul (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.6180
Journal	IET Control Theory & Applications
Publisher Date	2019-04-16
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Asymptotic Stability Coarsest Quantisation Density Control System Analysis CQD Discrete Control System Feedback Hybrid Feedback System Hybrid Framework Hybrid System Linear System Lyapunov Method MASI Maximum Allowable Sampling Interval Multiinput Signal Nonlinear Control System Nonlinear System Sampled Data System Special Stability Criteria Stability Stability Analysis Stability Condition Stability Criteria Stability in Control Theory Synthesis Method Time Varying System
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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