Based On The Satisfaction Of Lmi Constraints, Fault-tolerant Control

Satisfactory Control is a kind of control theory, which seeks multiple performance indices characterized directly by space region as the objective function to be satisfied simultaneously other than just one index to be optimized. On the other hand, if the actuator, the sensor or the other parts are at fault, closed-loop systems are both stable and provided with ideal speciality via control means. We call this control problem Fault-tolerant Control.This thesis attempts to design and analyse systems by combining the idea of Satisfactory Control with the idea of Fault-tolerant Control, with LMI approach, studies Satisfactory Fault-Tolerant Control for a class of continuous linear systems and a class of stochastic systems with norm bounded structured uncertainties under constraints of region pole index, steady covariance index and H_∞ -bound index.The main contents include following:1. Satisfactory Fault-Tolerant Control for a class of continuous linear systems with actuator failures under constraints of regional pole index (convex polygon pole index, sector pole index), steady covariance index and H_∞ -bound index.2. Satisfactory Fault-Tolerant Control for a class of continuous linear systems with sensor failures under constraints of regional pole index (convex polygon pole index, sector pole index), steady covariance index and H_∞ -bound index.3. Satisfactory Fault-Tolerant Control against actuator failures for a class of stochastic systems with norm bounded structured uncertainties under constraints of regional pole index (convex polygon pole index, sector pole index), steady covariance index and H_∞ -bound index.4. Satisfactory Fault-Tolerant Control against sensor failures for a class of stochastic systems with norm bounded structured uncertainties under constraints of regional pole index (convex polygon pole index, sector pole index, disk pole), steady covariance index and H_∞ -bound index.