Since the mid-1970-th, when the Speed-gradient method was originated by Alexander L. Fradkov, it has been further developed and has found various applications in the fields of adaptive control and identification, control of mechanical systems and nonlinear oscillators, control of electromechanical devices, including vibration machines, control of chaotic systems, mobile robots, satellites, control of energy and power systems, control of networks and spatially-distributed systems, etc. In the form of the Speed-gradient principle it is recognized as an efficient tool for understanding the fundamental laws of Physics. The present survey is focused on the applications of the Speedgradient method to control of mobile mechanical systems such as aircraft, satellites, car engines, and autonomous aerial and underwater vehicles.