大系统分散控制的非线性影响

 在大系统的控制问题中,除了递阶控制外,分散控制是另一种重要的控制方案。局部分散镇定近来受到重视。对各子系统的局部线性反馈,由于能源限制及其他因素,常引出非线性反馈。本文将研究这样的非线性对大系统稳定性的影响。

NONLINEARITY EFFECT ON THE LOCAL DECENTRALIZED CONTROL OF LARGE-SCALE SYSTEMS

Decentralized control is an important control scheme for large-scale systems. Local feedback controllers are adopted in stabilizing each subsystems or in enhancing its strength of stability so as to get a overall stable large-scale system. Owing to the inherent power capacity limitation and other conditions of the controllers the control feedback laws become nonlinear ones. The nonlinearity effect on the stability of the large-scale system is studied in this paper. For each subsystem a maximal（in a certain sense）nonlinearity tolerance is given. Then for given nonlinearity tolerances of subsystems the sufficient absolute stability criterion of the overall large-scale system is obtained via aggregation method based on Liapunov functions for each subsystem. The arbitrariness usually inherent in the Liapunov functions is eliminated and in result the Liapunov functions become the best in a certain sense and can offer less conservative absolute stability criterion.