Nowadays, Wireless Networked Control Systems (WNCSs) are considered due to reduction of wiring cost, enhancement of flexibility, and measurement of variables which are difficult to access using conventional wiring connections. Recently, researchers put effort to take into account the features and limitations of digital hardware and communication links such as delay and packet loss in the design of control systems. Event-triggered control was introduced as a solution for the bandwidth limitation. In event-triggered systems, data are just sent when a specific condition is satisfied and triggering mechanism verifies the condition. The condition is designed to guaranty a specific performance or stability of the control system. From the network side of view, network calculus is used to find a deterministic model of the network. Network calculus considers an upper bound of the arrival traffic to the network to calculate an upper bound for the induced delay of the network. In this thesis, control systems over wireless networks is analyzed and an upper bound for the arrival traffic of the control systems to the communication network is found. Then, using network calculus it is shown that the upper bound of induced delay for an event-triggered system is less than time-triggered system. Furthermore, a new method is proposed to consider this bound as a designing restriction. The event-triggered system is modeled as a switching system and two methods are proposed to analyze the stability of control system and minimum time between two consecutive events. In the both methods, sufficient conditions are proposed as linear matrix inequalities. The first method is based on definition of exponential stability for switching system and the second method is based on finding a common quadratic Lyapunov function for the proposed subsystems. Then, a stabilizing feedback controller is designed for the discrete time event-triggered control system. Moreover, results of the second method is extended to analyze stability in the presence of norm bounded uncertainty. At the end of each section, simulation results are shown considering IEEE 802.15.4 network standard which verifies the effectiveness of proposed methods to guarantee the stability of control system under network bandwidth limitations.
