1,100 research outputs found
Quantized Feedback Stabilization of Sampled-Data Switched Linear Systems
We propose a stability analysis method for sampled-data switched linear
systems with quantization. The available information to the controller is
limited: the quantized state and switching signal at each sampling time.
Switching between sampling times can produce the mismatch of the modes between
the plant and the controller. Moreover, the coarseness of quantization makes
the trajectory wander around, not approach, the origin. Hence the trajectory
may leave the desired neighborhood if the mismatch leads to instability of the
closed-loop system. For the stability of the switched systems, we develop a
sufficient condition characterized by the total mismatch time. The relationship
between the mismatch time and the dwell time of the switching signal is also
discussed.Comment: 17 pages, 3 figure
Time-and event-driven communication process for networked control systems: A survey
Copyright © 2014 Lei Zou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.In recent years, theoretical and practical research topics on networked control systems (NCSs) have gained an increasing interest from many researchers in a variety of disciplines owing to the extensive applications of NCSs in practice. In particular, an urgent need has arisen to understand the effects of communication processes on system performances. Sampling and protocol are two fundamental aspects of a communication process which have attracted a great deal of research attention. Most research focus has been on the analysis and control of dynamical behaviors under certain sampling procedures and communication protocols. In this paper, we aim to survey some recent advances on the analysis and synthesis issues of NCSs with different sampling procedures (time-and event-driven sampling) and protocols (static and dynamic protocols). First, these sampling procedures and protocols are introduced in detail according to their engineering backgrounds as well as dynamic natures. Then, the developments of the stabilization, control, and filtering problems are systematically reviewed and discussed in great detail. Finally, we conclude the paper by outlining future research challenges for analysis and synthesis problems of NCSs with different communication processes.This work was supported in part by the National Natural Science Foundation of China under Grants 61329301, 61374127, and 61374010, the Royal Society of the UK, and the Alexander von Humboldt Foundation of Germany
Finite/fixed-time Stabilization of Linear Systems with States Quantization
This paper develops a homogeneity-based approach to finite/fixed-time
stabilization of linear time-invariant (LTI) system with quantized
measurements. A sufficient condition for finite/fixed-time stabilization of
multi-input LTI system under states quantization is derived. It is shown that a
homogeneous quantized state feedback with logarithmic quantizer can guarantee
finite/fixed-time stability of the closed-loop system provided that the
quantization is sufficiently dense. Theoretical results are supported with
numerical simulations
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