时滞关联大系统的分散变结构自适应控制

Decentralized Variable Structure Adaptive Control for Large-Scale Systems with Time-Delay Interconnections

针对一类满足匹配条件的不确定性时滞关联大系统,提出了一种基于Lyapunov稳定性理论的分散变结构自适应控制方案。通过引入积分滑模和能在线估计不确定性扰动与时滞关联的界的自适应算法,保证了闭环系统的渐近稳定性,实现了系统的鲁棒自适应控制。所提出的方案具有较强的工程实用性。算例仿真的结果表明了该控制方案的可行性。

In this paper, a decentralized variable structure adaptive control scheme for a class of uncertain large-scale systems with time-delay interconnections is proposed based on the Lyapunov stability theory. An adaptation algorithm that can estimate the unknown upper bounds of the uncertainties is introduced as well as integral sliding mode, so that the asymptotical stability of the closed-loop system is guaranteed, and the robust adaptive control can be achieved. The proposed scheme is simple for implementation. An example is also given to demonstrate the feasibility of the proposed control scheme.