Nonlinear Inertial Guidance Platform Control Systems Analysis

This paper investigates the stability analysis of nonlinear inertial guidance platform control systems. The principle technique used for this investigation is the direct method of Lyapunov. First, stability criteria are derived for third- and fourth-order systems with saturation type nonlinearity by using the technique developed by R. E. Kalman and Z. V. Rekasius. A method of finding the maximum loop gain g/h is then shown, and the results are compared with those obtained by linear analyses. Finally, the stability criteria are extended to the cases when a coulomb friction type nonlinearity is included.