Abstract
The problem of dynamic loss of stability during line-of-sight pursuit navigation of a vehicle under automatic control of a heading sliding mode autopilot is considered. The linear and nonlinear controller gains and the lookahead distance of the guidance law are the main bifurcation parameters. Hopf bifurcation theory techniques are used in order to establish stability of the resulting periodic solutions after the initial loss of stability of straightline motion. The analytical results are confirmed by numerical integrations. It is shown that both linear and nonlinear methods are required in order to evaluate the dynamic response of the system.
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