The method of constructing a limited positional control of a multidimensional dynamic system with viscous friction, potential forces and an uncertain limited influence (interference) is offered. The built algorithm guarantees the coming of the system into the phase zero in a finite (not fixed) time at any admissible interference and any initial state from the particular bounded region of the phase space. The assumed restrictions on system parameters and initial conditions may be weaker than the corresponding restrictions in the other methods of solving the similar problems, because inertia terms, viscous friction and a part of potential forces aren't included in an interference and aren't compensated by a control in the present research. The method is based on the system decomposition and the use of the function similar to Lyapunov function
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