Partial Variable Stabilization of a Class of Uncertain Systems with Uncertain Equilibrium Point
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摘要: 针对一类缺乏明确平衡点的不确定系统,研究了系统部分变量的稳定性问题. 提出了将一致最终有界和渐近稳定相结合的系统稳定性模式,并给出了该系统稳定性模式的条件. 基于该稳定性模式,提出了阻尼配置控制方案,使系统部分变量在不同阶段稳定于给定运行区域和原点. 所开展的研究工作拓展了不确定系统的稳定性研究,解决了工业应用中普遍存在的一类缺乏明确平衡点的不确定系统的部分变量控制问题. 永磁同步电机的仿真验证了研究结果的有效性和实用性.Abstract: Partial variable stability is studied for a class of uncertain systems with uncertain equilibrium point. A stability model combining the ultimate boundedness and the 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 variable of the systems is 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 application. The effectiveness and the practicability of the research results are verified by the simulation experiment of a permanent magnet synchronous motor.
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