Observer-Based Model Reference Tracking Control of the Markov Jump System with Partly Unknown Transition Rates

This paper deals with the model reference tracking control problem of linear systems based on observer for Markov jump unknown transition rates. The main contributions are as follows: Firstly, we designed a descriptor given by matrix transformation. Then, law composed feedforward compensator and feedback was calculating variations observer. part can stabilize system. is complete parametric compensator. two parts be solved separately, controller that make system stable proposed under condition rates partially through Lyapunov stability theory. solution generalized Sylvester equation. algorithm criteria proved several examples compared existing conclusions.