三阶无零点从模型取状态MRAC系统设计  

Design of Third-order Zero-free MRACS Taking State Variables from Model

作　　者：钱超[1] 宋飞[2] Qian Chao;Song Fei(Office of Research ＆ Development, Naval University of Engineering, Wuhan 430033, China;College of Power Engineering, Naval University of Engineering, Wuhan 430033, China)

机构地区：[1]海军工程大学科研部,武汉430033 [2]海军工程大学动力工程学院,武汉430033

出　　处：《系统仿真学报》2018年第4期1542-1550,共9页Journal of System Simulation

基　　金：国防预研基金(41404060101);湖北省自然科学基金(2016CFB614)

摘　　要：高相对阶(n~*≥3)从模型取状态MRACS(Model Reference Adaptive Control System)设计由于引入了线性正反馈环节,应用于实际系统存在困难。以三阶无零点(n~*=3)系统为研究对象,基于Popov超稳定理论利用不同结构控制系统间的零状态等价关系设计三阶无零点从模型取状态MRACS控制器,该控制器除使用1个微分器外,其余全部由积分器实现,避免引入线性正反馈环节,易于在实际系统中应用。为验证控制器的有效性,结合数字液压系统在Simulink中对该控制器进行了仿真验证,仿真结果表明该控制器结构简单,易于实现,控制精度较高,具有较强的抗干扰能力。Since the current design method of the relative order n^＊ ≥3 MRACS taking state variables from model introduces some linear positive feedback loops, so it is difficult to be used in practical systems. This paper took the third-order zero-free （n^＊=3） system as the study object and designed the controller for third-order zero-free MRACS taking state variables from model by using the zero state equivalence relation between two different control systems. The design method of the controller is based on the Popov hyperstability theory. The controller only used integrators except for a differentiator and avoided introducing linear positive feedback loops, so it is easy to be applied in practical systems. To verify the validity of the controller, the model of a digital hydraulic system with the controller was built in Simulink for the simulation study. The simulation results show that the controller has the advantages of simple structure, easy realization and higher control precision, as well as strong robustness to interference.

关 键 词：相对阶 MRACS 模型取状态 三阶无零点 Popov超稳定理论 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]