Partial Variable Stabilization of a Class of Uncertain Systems with Uncertain Equilibrium Point

Partial variable stability is studied for a class of uncertain systems with uncertain equilibrium point. A stability model combining the ultimate boundedness and asymptotic stability is proposed, and the conditions of the stability model are given. According to the proposed stability model, a damping assignment control scheme is presented such that partial variables of the systems are stable in a given area and at the origin in different stages. The work of this paper develops the study on stability of uncertain systems and solves the control problem of a class of uncertain systems with uncertain equilibrium point existing widely in industrial applications. The effectiveness and practicability of the research results are verified by the simulation experiment of a permanent magnet synchronous motor.