| 引用本文: | 于广亮,张保会,谢欢,汪成根.基于逆系统方法的非线性最优控制[J].电力自动化设备,2008,(6): |
| .Nonlinear optimal control based on inverse system method[J].Electric Power Automation Equipment,2008,(6): |
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| 摘要: |
| 基于逆系统方法和线性二次型调节器(LQR)最优控制理论,提出了非线性系统中控制器的一般设计方法,并验证了应用逆系统方法线性化后的线性系统的二次型最优状态调节控制的性能指标等价于原非线性系统的扩展二次型最优输出调节控制的性能指标,从而说明在线性系统下设计的最优控制器也是原非线性系统的最优控制器。同时,以电力系统为例,设计了基于广域信息的非线性全局综合控制器,该控制器的性能指标保证了发电机端电压的恒定和机组间的振荡最小。仿真结果表明,与常规控制器相比,非线性全局综合控制器更能减小系统的过渡时间、振荡次数及振荡幅度,更快地使系统的功角和电压趋于稳定。 |
| 关键词: 逆系统方法,线性二次型调节器,电力系统,广域信息 |
| DOI： |
| 分类号:TP273.1 |
| 基金项目:国家自然科学基金 |
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| Nonlinear optimal control based on inverse system method |
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YU Guangliang ZHANG Baohui XIE Huan WANG Chenggen
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| Abstract: |
| A general approach based on inverse system method and LQR(Linear Quadratic Regulator) optimal control theory is presented for the controller design of nonlinear system.It is verified that,the performance index of optimal control in the sense of linear quadratic state regulation for the system linearized by inverse system method is equivalent to that of optimal control in the sense of extended quadratic output regulation for the primitive nonlinear system,which means that,the designed controller for linearized system is an optimal controller for the primitive nonlinear system.With power system as an example,a nonlinear global integrated controller is designed based on wide-area measurement information.Its performance index ensures that the terminal voltage of each generator is constant and the oscillatory peak between generators is minimal.Simulation result shows that,compared with PID control,the multi-machine system under nonlinear global integrated control has less settling time,swing times and oscillatory peak,and the system power angle and voltage becoming stable faster. |
| Key words: inverse system method,linear quadratic regulator,power system,wide-area measure-ment information |
