Multi-objective control in integrated navigation system based on LMI

Since the system model uncertainties and the non-Gaussain disturbance often result in filtering precision drops of Kalman filter, a class of robust H₂/H_∞ multi-objective control problems in integrated navigation system is studied. System error state equation of integrated navigation system is translated into polytopic description of uncertain system, and existence condition of the controller is solved by convex optimization based on linear matrix inequality (LMI). System stability is guaranteed through Lyapunov stability theory. Perturbation is attenuated through H₂ and H_∞ control, system rapidity is improved through guaranteed cost control and initial stage convergence is accelerated through pole placement for the non-zero initial state. Simulation results show that the robustness, convergence and precision are better.