ABSTRACT

NCSs have recently stirred much interest in the control community [144, 182, 166, 56].Much literature has exploited various aspects of NCSs, such as time delays [179], [110], packets dropout [75], packets disorder [88], quantization [153, 108], cyber attacks [171], and so on. Among these network-induced factors, two significant challenges are time delays and packets dropout, which lead to degradation of the control performance or even destabilize the whole controlled system [111]. On the other hand, it has been well known that disturbance exists in many control processes due to environment noise, measurement errors, and load variations [80, 25]. However, in reported results concerning the optimal control problem, the disturbances are usually assumed to be fully estimated or compensated, which is impractical in most cases. For systems with immeasurable and unpredictable disturbances, pure NE cannot be used as the final outcome of the game, since it will also be affected by such disturbances. Very recently, the so-called ǫ-NE has been proposed in [68] and [68], where the impact from the disturbances has been described by the ǫ-level.