PDF Control for Rotation-Modulating RLG INS
摘要
In the application of rotation-modulating RLG INS, the shafting platform is susceptible to random disturbances by internal and external factors, which would affect positioning accuracy of modulation laser gyro inertial navigation system. In general, the shafting platform can be regarded as a stochastic nonlinear system represented by polynomial form. In this research, a polynomial-form probability density function (PDF) tracking control technique for stochastic nonlinear systems is suggested to solve the problem of stochastic control. This algorithm's goal is to confirm that the desired PDF and the PDF of the system state match. Assuming that the PDF of a state can be expressed as a polynomial or exponential polynomial, the PDF coefficient and control gain are related according to the Fokker Planck Kolmogorov (FPK) equation. Otherwise, if the PDF of the state is not in polynomial or exponential form, the control gains are obtained by minimizing the tracking error. Lastly, the efficacy of the suggested approach is demonstrated using simulation results.