Polynomial matrix σ-inverse vs. T-inverse: Interesting minimum-energy properties in design of FTC system

The paper concerns some studies on effectiveness of nonsquare matrix σ-inverse and T-inverse methods to the synthesis of minimum-energy fault-tolerant control for discrete-time LTI MIMO systems. The proposed method has noted that in the transient states, σ-inverse is more effective than the generally known Moore-Penrose approach. The effectiveness is expressed in terms of minimum-energy for the perfect control signals and confirmed in simulation example, performed in MATLAB/Simulink environment.