Abstract
This paper is concerned with the problem of designing a robust observer-based controller for discrete-time networked systems with limited information. An improved networked control system model is proposed and the effects of random packet dropout, time-varying delay, and quantization are considered simultaneously. Based on the obtained model, a stability criterion is developed by constructing an appropriate Lyapunov-Krasovskii functional and sufficient conditions for the existence of a dynamic quantized output feedback controller which are given in terms of linear matrix inequalities (LMIs) such that the augmented error system is stochastically stable with an performance level. An example is presented to illustrate the effectiveness of the proposed method.
Highlights
Networked control systems (NCSs) are distributed systems in which communication between sensors, actuators and controllers is supported by a shared real-time network
In symmetric block matrices or complex matrix expressions, we use an asterisk ∗ to represent a term that is induced by symmetry and diag{⋅ ⋅ ⋅ } stands for a block diagonal matrix. ‖ ⋅ ‖ refers to the Euclidean norm for vectors and induced 2norm for matrices. l2[k0, ∞) stands for the space of square summable infinite sequence on [k0, ∞)
The quantization density is designed to be a function of the network load condition
Summary
Networked control systems (NCSs) are distributed systems in which communication between sensors, actuators and controllers is supported by a shared real-time network. NCSs introduce many new challenges in control system design such as packet dropout, networked-induced delay and signal quantization variable transmission intervals, network security and other communication constraints [3,4,5,6,7,8,9]. An iterative method was proposed in [17] to model NCSs with bounded packet dropout as Markovian jump linear systems with partly unknown transition probabilities. Motivated by the above discussion, in this paper, we are aiming at investigating the study of observer-based controller design for nonlinear discrete-time networked systems subject to sensor-controller packet losses, time-varying delays, and output quantization. In symmetric block matrices or complex matrix expressions, we use an asterisk ∗ to represent a term that is induced by symmetry and diag{⋅ ⋅ ⋅ } stands for a block diagonal matrix. ‖ ⋅ ‖ refers to the Euclidean norm for vectors and induced 2norm for matrices. l2[k0, ∞) stands for the space of square summable infinite sequence on [k0, ∞)
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