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In this paper, a linear robust PID controller is presented for satellite attitude stabilisation and attitude tracking control. The PID controller presented in this paper has the advantage that: 1) the Lyapunov function is modified thus the stability of the system is easier to prove; 2) the constraints of the parameters are broadened thus parameters are easier to choose comparing with existing methods; 3) the controller is robust to bounded disturbance torque and the satellite inertia matrix; 4) the controller is linear thus it is convenient for practical application. The proof of the stability and the constraints of the parameters are given in this paper. The simulation results verify the feasibility of the controller presented in this paper.

Robust linear PID controller for satellite attitude stabilisation and attitude tracking control