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针对过程控制中具有不同时滞的多变量强耦合系统,提出了一种基于奇异值分解的解耦控制方法.通过内模原理设计了集中式PI(proportional-integral)控制器,并系统分析了系统的鲁棒稳定性能.该方法能够很好地解决系统耦合问题,且同时适用于方形和非方系统,能够对多变量系统控制方法做出统一化设计.通过仿真实例研究结果表明了该方法的有效性,并且能够很好地消除模型降阶和系统参数扰动带来的干扰,具有理想的解耦能力和鲁棒性.该方法设计简单,易于工程实施.
Aiming at the multivariable strongly coupled system with different time delays in process control, a decoupling control method based on singular value decomposition is proposed. A PI controller is designed based on the internal model principle and analyzed systematically The robust stability of the system.The method can well solve the system coupling problem, and applies to both square and non-square systems, and can be used to unify the multivariable control methods.Experimental results show that the method And can effectively eliminate the interference caused by the degradation of the model and disturbance of system parameters and has the ideal decoupling capability and robustness.The method is simple in design and easy to implement in engineering.