一类非线性时滞系统的滚动时域控制  

Receding horizon control for a class of nonlinear time-delay systems

作　　者：张军[1] 王彪[1] 计秉玉[2] 谢荣华[2] 裴润[1] 

机构地区：[1]哈尔滨工业大学航天学院,黑龙江哈尔滨150001 [2]大庆油田有限责任公司,黑龙江大庆163412

出　　处：《哈尔滨工业大学学报》2005年第1期14-17,共4页Journal of Harbin Institute of Technology

基　　金：国家高技术研究发展计划资助项目(2001AA31304)国家自然科学基金重点资助项目(50232030).

摘　　要：对于输入受约束的一类非线性时滞系统,基于时滞系统的CLXF(ControlLyapunov-KrasovskyFunc-tion)和CLRF(ControlLyapunov-BazumikinFunction),分别设计了两类滚动时域控制器.首先采用双模控制结构,将CLRF作为终端约束集,扩大了终端约束区域,避免了非线性系统雅可比线性化,从而减少了在线计算量.其次将CLKF作为预测控制的终端代价,设计特定的目标函数,给出了闭环系统稳定的充分条件.最后通过仿真验证了该方法的有效性.A receding horizon control (RHC) method for a class of nonlinear time-delay systems with input constraints is presented. Two receding horizon controllers are designed based on Control Lyapunov-Krasovsky Function (CLKF) and Control Lyapunov-Razumikin Function (CLRF). First, by using dual mode control structure, control Lyapunov-Razumikin function is used as terminal constraint, which enlarges terminal constraint region and avoids Jacobian linearization of the nonlinear systems. Second, control Lyapunov-Krasovsky function is used as terminal cost and a specific objective function is designed, and the stability sufficient condition of closed systems is given. The simulation results verify the effectiveness of the proposed method.

关 键 词：非线性时滞系统 滚动时域控制 CLKF CLRF 稳定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]