Robust Passive Control And Robust Passive Filtering For Linear Uncertain Neutral Delay Systems

Time delay arises quite naturally in industrial and engineering systems, such as biological systems,communication systems,electrical networks and chemical systems.Time delay is frequently a source of instability and performance degradation in many dynamic systems.In view of that the stability is the basic demand of a dynamical system,the study of the system stability is an important issue in the dynamical system theory. The stability and control issues for delay differential systems have received much interest for recent years,while the development of neutral systems is relatively slow.As special case of delay systems,Neutral delay system contains delays both in its states and in the derivatives of its states.It has a moregeneral form and finds application.And many delay systems can be investigated by transforming to neutral delay systems.The study of neutral delay systems became a hotspot for the last decades.It has profound theory significance and practical value to investigate the stability analysis and synthesis problem of the time delay systems of neutral type.Method based on passivity play an important role in system stability,which takes the product of the input and the output as the supply rate of the energy, which embodies the attenuation property of a system under bounded exogenous input. Now, considerable attention has been focused on the stability analysis of various neutral delay systems. The paper combines the linear matrix inequality with Lyapunov function method, studying robust passive control for a class of linear uncertain neutral delay systems.A sufficient condition on the existence of robust passive controller is derived. The parameter uncertainties of the system are assumed unknown and norm bounded.Filtering plays an important role in systems and control theory, signal processing and information fusion. Certainly, the most widely used estimation method is the well-known Kalman filtering. A common feature in the Kalman filtering is that an accurate model is available. In some applications, however, when the system is subject to parameter uncertainties, the accurate system model is difficult to be obtained. To overcome this difficulty, robust filtering approaches are proposed. For linear uncertain neutral delay systems, robust passive filtering is proposed. The parameter uncertainties of the system are assumed unknown and norm bounded. By combining the linear matrix inequality with Lyapunov function method, a sufficient condition on the existence of robust passive filters is derived.Filters gain matrices are obtained by solving LMI.