Design of fault residual functions for systems stabilized by static output feedback

A new approach to fault residual functions design, giving a simple algorithmic support potentially applicable in embedded diagnosis structures, is proposed in the paper. Based on LMI approach to control design as well as to inverse discrete-time LQ problem, the method blends static control principle with checking and evaluation of unavoidable degradation in an equivalent performance index value sequence due to faults in actuators, sensors or system dynamic matrix parameters. The methodology exploits special fault residual functions build on weighting matrices of the equivalent LQ criterion. A simulation example subject to different type of failures is used to demonstrate the properties and effectiveness of the method.