Study On Fault-tolerant Control And Filtering Research For Uncertain Systems

With the rapid development of science and technology, the modern control system is large-scale, complicated, and automation degree is also higher. Especially in the high-tech fields, such as aerospace industry, robots, aircraft that make the accuracy of the control system face a higher challenge, and it is the urgent need that promote the rapid development of control theory. Any system are inevitably suffer from actuator faults and fault sensor fault or system itself. Therefore, when malfunction occurs, how to make a control system maintain stability and can achieve acceptable performance index has become a hot and important issue in the field of control.In actual production, to improve the system reliability and safety has the extremely vital significance. A control system fault was not detected and eliminated timely, it may lead the system to failure, even can cause huge economic losses and casualties. Fault-tolerant control mainly to keep the original working condition and performance of the closed-loop system, when the fault occurs. Fault-tolerant control to improve the system stability and reliability is of great significance. Therefore, the fault-tolerant control gradually become the important research problem in field of control.The state is unknown for many systems, so it has a big difficulty for the research. Filter research is the effective method to solve this problem. Its purpose is to estimate the system state through the noise measurement information. Since the optimal filtering theory of stochastic systems was proposed, the theory of Kalman filtering for stochastic systems is widely used in fields of telecommunications, aerospace, aviation, industrial process control and so on, but Kalman filtering requires that system model under consideration is accurately known and the external interference signals are with known statistical properties. However, in many actual systems, the exact system model or the statistical properties of the unknown external disturbances is difficult to obtain, or the system may drift, all of which may result in uncertainties. Therefore, research on improving the filtering algorithms and designing a reasonable filter can understand the characteristics of the system better.Using Lyapunov-Krasovskii stability theory and linear matrix inequality method, this paper considers the controller designing of several uncertain nonlinear system and the design problem of robust filter for a class of uncertain systems. The result is given in the linear matrix inequality, and using Matlab toolbox to get the solution. At last, a numerica example and simulation diagram show the feasibility and effectiveness of the results and imagery.