双容时滞系统二次优化控制的非线性化设计

Nonlinearized Design for Twice-optimal Control of a Second-order Dead-time System

为已实现优化控制的双容时滞系统的再优化,给出一个新的非线性化设计算法.首先根据双容时滞系统(SODTS)二次优化控制原理构造系统无穷维状态观测器,并证明它可以消去时滞对系统的影响,有较强的魯棒性;然后应用均方根放大器(SRA)对它进行非线性化设计,以提高系统的快速性;最后给出了一个非线性化算例和一个比较研究算例.结果表明:新系统不仅具有更快速更平稳的跟踪响应,而且对负荷扰动和参数扰动具有很强的鲁棒性,算法适用性强且易于实现.

We present a new nonlinearized design method for a second-order dead-time system with optimal control.First,on the basis of the twice-optimal control theory of the second-order dead-time system,we construct a system infinite-dimensional state observer and verify that the observer can eliminate the impact of time delay on the system and has strong robustness. Second,to improve the rapidity of the system,we apply a squareroot amplifier to nonlinearize the system. Finally,we illustrate a nonlinear example and a comparative study.Results show that the new system has not only a fast and smooth tracking response but also strong robustness to load the disturbance and the parameter perturbation. The new method has strong applicability and is easy to implement.