Mixed Fault Tolerant Control Of Uncertain Linear Systems With Disturbances

The uncertainties and disturbances widely exist in control systems,and maybe affect the characteristics of a system,even make it unstable.In practice,a control system is always required to have a better transient and steady performance.As the environment changes,the ageing process of the components of a system will be accelerated,which will seriously affect the normal operation of the system.Therefore,for an uncertain linear system with uncertainties and disturbances,the fault-tolerant control with an emphasis on the controller's robustness in the whole control process(including the transient and steady-state subprocesses)is of great significance in applications.Starting from the overall-process performance,this paper will study the fault-tolerant control problem for a linear system with uncertainties and disturbances.Main research contents are as follows:First,considering a linear system with uncertainties,disturbances and actuator failures,we propose a fault-tolerant control scheme based on robust H? and mixed stability control theory.This method produces a controller such that the closed-loop system is mixed stable and has an inhibitory effect to the external disturbances under the allowed actuator failures.Second,we propose a tracking control scheme based on internal model principle and mixed stability.The resulting closed-loop system has a better transient and steady-state tracking performance under the allowed actuator failures,and also has an inhibitory effect to the external disturbances.Finally,the control problems are expressed as the feasibility problem of some linear matrix inequalities.A numerical simulation is provided to demonstrate the effectiveness and feasibility of the proposed method based on MATLAB simulation platform.