Model Reference Tracking Control For Markov Jump Systems With Noice

The dynamic model of the relative orbit of the spacecraft is needed in orbit control of spacecraft with more than one spacecraft. For studying the motion of the target spacecraft in a circular orbit, target spacecraft origin is obtained by establishing the orbital coordinate system. Considering the influence of uncertain factors, Markov process is introduced. Then Markov jump system dynamics model is established.In this paper, the control method for Markov jump system with noise is model reference tracking control. Reference model tracking control means the output of the jump stochastic stabilization system can asymptotically track a given reference signal which is generated by a reference model. The linear matrix inequality approach for the design of the control system is able to provide a stochastic stabilization condition for the jump system with noise.In the condition of the Markov jump system with Wiener noise, this paper gives the existence conditions for two kinds of reference model, which are reference model state feed-forward and reference model output feed-forward. Model reference tracking controller is obtained by solving a kind of nonhomogeneous generalized Sylvester equation, which includes a feedback controller and a feed-forward compensator. Parameters of resolve for the flying around orbit control mission are used for numerical simulation analysis to verify the validity of the model reference tracking control method.In the condition of the Markov jump system with noise generated by a model, this paper uses the noise model feed-forward method to suppress noise. And for the Markov jump system state equation containing the noise reference model, design a suppressing noise feedback controller and a feed-forward compensator by solving the Sylvester equation. Using the Sylvester equation solving method, we obtained the feed-forward compensators parameters of solution. After that, based on the noise suppression, the output tracking of the tracking reference model is realized and the numerical simulation analysis is carried out to verify the effectiveness of the method.