ABSTRACT

NCSs have recently stirred much interest in the control community. Compared with traditional point-to-point systems, NCSs have advantages of fewer expenses, higher flexibility, better resource sharing, and so on [78, 142, 142, 101, 20]. Nevertheless, the inherently limited bandwidth of communication channels has led to a number of network-induced phenomena that is worth exploiting. The phenomena of time delays and packets dropout has attracted special attention because they are considered to be two of the main causes of performance degradation or even instability of controlled systems [156, 53]. On the other hand, sampling rates of modern industrial control systems are usually high. It has been well recognized that a delta operator is an effective tool in dealing with fast sampling systems. In practice, all real-time NCSs operate in the presence of disturbances [45] caused by a number of factors, including the fluctuation of communication environment [167], channel fading [148], quantization effects [133], load variation [38], friction [186], and noise measurement [168]. Therefore, studies of NCSs with external disturbances are of great importance from both theoretical and engineering points of view [46, 139, 164]. To the best of authors’ knowledge, an optimal control problem subject to disturbances and network-induced constraints has not been adequately investigated, not to mention the system is described in the delta domain setting. The purpose of this chapter is to shorten such a gap.