Tan KK, Huang SN, Lee TH
Department of Electrical Engineering, National University of Singapore, Singapore.
ISA Trans. 2000;39(1):57-70. doi: 10.1016/s0019-0578(99)00036-1.
Till now, traditional low-order control schemes have never been applicable to unstable systems with deadtime. In this paper, we present the first application of a PID controller with time-scheduled gains to unstable systems with deadtime, consisting of a single unstable pole. The control gains are designed based on a generalised predictive control (GPC) approach. The only user specifications required are simple and classical desired properties as in the natural frequency and the damping ratio of the closed-loop system. An approach is further developed to subsequent on-line self-tuning of control weights so that the overall control system remains applicable and effective in the face of disturbances and slowly varying dynamics. A detailed analysis of the closed-loop stability of the thus designed control system is further provided in the paper. Based on stability conditions developed, the prediction horizon for the GPC-based controller may be effectively computed. Finally, simulation examples illustrate the performance of the control system.
到目前为止，传统的低阶控制方案从未适用于具有死区时间的不稳定系统。在本文中，我们首次将具有时变增益的PID控制器应用于具有死区时间的不稳定系统，该系统由单个不稳定极点组成。控制增益基于广义预测控制（GPC）方法进行设计。唯一需要的用户规格是简单且经典的期望特性，如闭环系统的自然频率和阻尼比。进一步开发了一种方法用于后续控制权重的在线自整定，以便整个控制系统在面对干扰和缓慢变化的动态时仍保持适用性和有效性。本文还进一步提供了对如此设计的控制系统闭环稳定性的详细分析。基于所开发的稳定性条件，可以有效地计算基于GPC的控制器的预测时域。最后，仿真示例说明了控制系统的性能。
