摘要
对取暖器温度控制系统μ综合鲁棒PI稳定性控制问题进行了研究。在取暖器温度控制系统设计中,控制对象包含延滞环节和系统输出端存在的干扰成为控制器设计的难点。μ综合鲁棒控制设计是在系统存在摄动和扰动的情况下,能使实际系统具有较优的鲁棒性能。由μ综合控制器设计方法,将延滞环节作为控制对象的一种不确定性来处理。并且,为了使系统具有较好的抗扰性质,选择了μ综合方法。提出取暖器温度控制系统μ综合可得到鲁棒稳定和鲁棒性能(满足较快响应并且小的超调量和小的静态误差)。指明可通过μ综合设计方法解决上述问题。提出了在μ综合设计时,如何根据取暖器温度控制系统性能要求选取性能指标权函数。讨论了性能指标权函数选取方法,求得了一个参数固定的PI形式控制器。仿真结果验证,取暖器温度控制系统使用μ综合鲁棒PI控制器时具有较好的鲁棒稳定性,并且使其具有超调量较小、调节时间较短等优点,提高了控制系统的干扰抑制能力。
Theμ-synthesis robust stability control problem of a temperature control system of heater was studied. The delay and disturbance of the temperature control system of heater are the main difficulties of the system design. Theμ-synthesis robust control can ensure the robust performance of the system with uncertainty and disturbance. According toμ-synthesis robust control theory,the delay characteristic was transformed into the uncertainty of the controlled object.The anti-disturbance performance was enhanced byμ-synthesis robust control.It is pointed out that theμ-synthesis of temperature control system of heater can obtain both stability and robust performance (enhance rapidity,shorten overshoot and static error).It is also suggested that the design of the robust performance can be formulated as a μ-synthesis control problem.The selection of the performance weight function was discussed. The fixed formμ-synthesis robust PI controller was solved.The simulation results show that the robustμ-synthesis PI control system has good robust stability,small overshoot and short settling time.It can also improve control system's anti-disturbance ability.
作者
恒庆海
HENG Qing-hai(School of Automation,Beijing Information Science and Technology University,Beijing 100192,China)
出处
《计算机仿真》
北大核心
2018年第12期257-261,共5页
Computer Simulation