控制受限加权预报自校正系统的稳定性分析

Stability of Input Amplitude Constrained Weighted Prediction Self-Tuning Control System

针对控制幅值受限的、含稳定的未建模动态和有界干扰的对象 ,给出了一种鲁棒加权预报自校正控制算法。这种算法是在最小二乘型参数估计的基础上通过引入死区而得到的 ;通过引入一补偿函数f(t) ,并结合关键性技术引理便捷地对系统的鲁棒稳定性作了详细证明。结果表明 ,即使受控对象不稳定 (通常涉及控制幅值受限的控制系统稳定都需要对象稳定 ) ,所建立的系统也可以稳定。

An algorithm for robust weighted prediction self-tuning control is proposed for the plant with control action constrained in this paper. This algorithm is obtained by introducing a dead zone into original least square estimation. The robust stability of the proposed algorithm is clearly proved by introducing the offset function f(t) . The result shows that the proposed algorithm can be BIBO stable even if the plant is unstable.\;