Abstract
In this study, we investigate the stochastic finite-time H_{infty } bounded control problem for a class of networked control systems (NCSs) subject to mixed delays, stochastic nonlinearities, and randomly missing measurement. The mixed delays consist of discrete time-varying and distributed delays. The stochastic nonlinearities satisfy statistical means. The missing measurement is modeled by a Bernoulli-distributed random variable. By applying stochastic analysis method we present sufficient conditions guaranteeing the stochastic finite-time boundedness of a closed-loop system with desired H_{infty } performance level within a finite time interval. Moreover, dynamic output feedback controller can be obtained in terms of a set of matrix inequalities, which can be easily solved by using the cone complementarity linearization method (CCLM). Finally, we provide two numerical examples to illustrate the validity of the proposed design technique.
Highlights
Networked control systems (NCSs), which integrate the development of automatic control technology, network communication technology, and microelectronics technology, have become a hot research topic in the international control field in recent years
We focus on the problem of stochastic finite-time H∞ control for discrete-time NCSs with mixed delays, stochastic nonlinearities, and randomly missing measurement
5 Conclusions In this paper, we investigated the problem of stochastic finite-time H∞ control for stochastic nonlinear NCSs with mixed delays and randomly missing measurement
Summary
Networked control systems (NCSs), which integrate the development of automatic control technology, network communication technology, and microelectronics technology, have become a hot research topic in the international control field in recent years. To the best of authors’ knowledge, so far, the problem of stochastic finite-time H∞ control for discrete-time NCSs with mixed delays, stochastic nonlinearities, and randomly missing measurement has not been studied. The main contributions of this paper can be itemized as follows: (1) The concept of stochastic finite-time boundedness is extended to more general discrete-time NCSs containing mixed delays, stochastic nonlinearities, and randomly missing measurement.
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