The invention discloses a stability control method for a tethered combination under full-
state constraint, and aims to solve the problem of quick and stable control of a
system under full-
state constraint, namely limited position and speed. Aiming at a plurality of uncertainty factors existing in the tethered
combination system, designing an adaptive neural network scheme, and realizing rapid and
accurate estimation of the total uncertainty of the
system; secondly, respectively considering the generalized position and speed constraint of the
system, and designing a
barrier Lyapunov Function (BLF) to solve the problem of full-
state constraint; then, designing a robust adaptive controller by adopting a
backstepping method, and ensuring rapid, high-precision and stable control of the tethered
combination system in the presence of state constraints and various uncertainties; and finally, carrying out
Lyapunov stability proving on the designed controller. According to the invention, the position and speed of the
assembly system can be ensured to be always within a constraint range, and the rapid, high-precision and stable control of the tethered
assembly system under the existence of various uncertainties can be realized.