Stability Analysis And Control Of Networked Control Systems Based On Wirtinger Inequality

In this thesis, stability analysis and control of networked control systems in the p-resence of medium access limitation and network-induced delays are studied by using the Lyapunov stability theory. Firstly, by using the boundedness of the time-varying delay,the new Lyapunov functional of networked control systems with time delay is constructed.The integral in this thesis is splited into two integrals to avoid scaling error. Meanwhile,the conservation of the derivation reduced by combining Wirtinger inequality with Lower bounds theorem and adding it to a convex combination. Based on linear matrix inequalities,a new stability criterion is presented. Secondly, a feedback to make the systems stable is designed. In addition, under the influence of communication sequences, we introduce the concept of media access limitation and convert it to switching systems with time delay.Based on the theory of switching system with time delay, we derive a design method of communication sequences and the corresponding switching rule. Finally, the results can be obtained via the recent developed Matlab efficiently and simulation examples are given to verify the merits and effectiveness of the proposed method.