The invention provides a
fixed time optimal
inclusion control method and
system for an under-actuated multi-unmanned ship
system, and the method comprises the steps: carrying out the
coordinate change of an under-actuated multi-unmanned ship
system model through an auxiliary variable method, and building a multi-unmanned ship
system model; constructing an error-containing system of the under-driven multi-unmanned ship system and constraint conditions of the error-containing system; in combination with a preset
performance control method, an error-containing conversion mechanism is constructed, and a kinetic equation of an error-containing system is obtained; designing an optimal cost function based on a kinetic equation containing an error system; and on the basis of a
reinforcement learning algorithm, an identification-execution-evaluation
learning network is utilized to solve a
coupling HJB equation, a
fixed time optimal inclusion controller is obtained, and an optimal cost function of inclusion errors under constraint conditions is enabled to be optimal. According to the method, it is ensured that the under-driven multi-unmanned-ship system with the preset performance achieves
fixed time inclusion control with the minimum cost, and the upper limit of the
rest time is irrelevant to the initial state of the under-driven unmanned ship system.