The Stability Analysis And Design Of Switched Lurie Neutral Control System

A switched neutral system is an important category of hybrid systems.Dueto interaetion among the continuous dynamies and discrete dynamies and neutral time-delay is common in this kind of systems, many practical engineering issues can be described by switched neutral delay systems,the research of switched neutral delay systems is significant for both practice and theory.Switched Lurie neutral type control system is a particular control model in switched neutral system. In practice, many nonlinear feedback control systems in practical problems are converted to switched Lurie neutral system, so the research about this system is very important in theoretical and practical significance. In this paper, studying switched Lurie Neutral stability of the system analysis and design by LMI as a major research tool and Lyapunov function method. the main work as the following:Studying the absolute stability analysis of the switched Lurie neutral control system under arbitrary switching sequence. The switched Lurie neutral systems described in Chapter 3 is a linear system with a small piece of the nonlinear part, for the complex operation, the diverse impact factors and the disorder of the switched Lurie neutral systems, building a s Lyapunov functional system with a Lyapunov function, then using system state equations to find sufficient condition for stability of the system, due to a different Lyapunov function built, the obtained sufficient conditions the system is different, some of these conditions with time delay,some are not, some are very easy to verify with very low conservative, some are more complex, so from two way of time delay or not to discuss the sufficient condition for the stability of the system by classlified and proving the sufficient conditions for stability of the system by common Lyapunov function and multiple Lyapunov function.In addition to using Lyapunov function to prove a sufficient condition for stability of the system. In the fourth chapter, the stability theorem is verified by usingLMI toolbox of MATLAB. LMI is mainly used in control theory and widely used to solve a range of issues in the system and control, such as Lyapunov matrix inequality here. With the launch of the LMI toolbox in MATLAB, the solution proces of lyapunov matrix inequalities becomes easy for them. In Theorem verification process, using LMI toolbox convert matrix inequalities theorem into constraints, obtaining the matrix in line with the theorem condition...