NDLI: Stabilisation of locally Lipschitz non-linear systems under input saturation and quantisation

Content Provider	IET Digital Library
Author	Rehan, Muhammad Tufail, Muhammad Ahn, Choon Ki Chadli, Mohammed
Abstract	This study addresses the control of locally Lipschitz non-linear systems under quantisation and input saturation non-linearities. The non-linear dynamics of the systems are taken to be locally Lipschitz, rather than the conventional globally Lipschitz counterpart, to consider a generalised form of the Lipschitz non-linear systems. An ellipsoidal region containing the origin is constructed, for which the non-linear dynamics satisfy the Lipschitz condition in contrast to the conventional approaches. Saturation and quantisation non-linearities are dealt using a generalised local sector condition and a bound on the quantisation noise. A regional control strategy for the stabilisation of non-linear systems using state feedback is devised by employing these conditions, which is further extended to attain robustness against external perturbations. The proposed control strategies guarantee convergence of the states of a non-linear system inside a bounded reducible region in the neighbourhood of the origin. In contrast to the conventional approaches, the present study considers ellipsoidally Lipschitz non-linear systems, supports various types of quantisers, ensures attenuation of the disturbances, and provides a clear picture of the region of stability. An example of the application of the proposed control strategies for a modified Chua's circuit is demonstrated.
Starting Page	1459
Ending Page	1466
Page Count	8
ISSN	17518644
Volume Number	11
e-ISSN	17518652
Issue Number	Issue 9, Jun (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/11/9
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.1424
Journal	IET Control Theory & Applications
Publisher Date	2017-02-22
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Ellipsoidal Region Generalised Local Sector Condition Input Saturation Lipschitz Nonlinear System Stabilisation Nonlinear Control System Regional Control Strategy Stability Stability in Control Theory State Feedback
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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