The Stability And Robust Control For Neutral Systems

There is always the power system hysteresis. It has broad application prospects in the engineering, physics, mechanics, cybernetics, chemical, biomedical and other fields. Especially in the automatic control system, any system containing a feedback signal which from the input signal to the feedback received, there must be a time-delay. Time-delay in the system is widespread. For example, in the chemical, hydraulic, rolling and other systems have a delay, and time delay is an important factor in system instability, thereby domestic and foreign scholars have a wide attention on time-delay system. And neutral system is a more extensive application of delay differential system. Therefore, the study of a variety of neutral system performance has important application value and theoretical significance.By constructing appropriate Lyapunov-Krasovskii functional, application of the freedom matrix, Jensen inequality, impulse control and filters etc. are used to study the neutral system issues. The main contents are as follows:First of all, the stability of a singular system for analysis. By constructing a new Lyapunov function and using Writing-based integral inequality, the singular systems transform into a class of neutral systems, obtained the system asymptotic stability criterion.And then, the robust control problem with impulse control and Markov jumping parameters of nonlinear neutral systems was discussed. By constructing a suitable LKF under the assumption that sector nonlinear function, using the generalized method of integral inequality and designing a suitable controller method derived LMI, deduced neutral stochastic systems robust control.Finally, by using Lyapunov function approach and the average residence time method to obtain a PRDF to study the switching neutral systems with filter delay and nonlinear. We proves that the performance of the system and then get a PRDF.