基于HJI不等式的鲁棒耗散性的判定  

Determination Conditions for Robust Dissipativity Based on HJI Inequalities

作　　者：李桂芳[1] 王永成[1] 杨成梧[1] 孙勇成[1] 

机构地区：[1]南京理工大学动力工程学院,江苏南京210094

出　　处：《南京理工大学学报》2005年第6期727-730,共4页Journal of Nanjing University of Science and Technology

摘　　要：讨论一类带有界范数不确定性的仿射非线性系统的鲁棒无源综合问题,该系统具有输出馈通项且控制项系数带有参数不确定性。首先,基于Hamilton-Jacobi-Issacs(HJI)不等式给出系统是鲁棒耗散的充分性条件;在此基础上,利用相同的方法,给出在状态反馈控制下,系统可实现鲁棒耗散控制的充分条件,并且设计出相应的鲁棒耗散控制器。线性系统的相应结论作为特例。最后,给出数值算例说明本文结论的有效性。The robustly dissipative synthesis problem is discussed for a class of affine nonlinear systems with bounded-norm uncertainties. The systems are with input-output feedthrough, and uncertain ties appear in the rector field which multiplies the control. Based on Hamilton-Jacobi-Issacs （HJI） inequality approach, the suglcient condition under which the unforced systems are robustly dissipative is proposed;again applying the same approach, the solvable condition for the robustly dissipative control problem is obtained, and the corresponding state feedback controller is explicitly designed. The special case for linear systems is addressed. The numerical exampie is given to illustrate the validity of our results.

关 键 词：非线性系统 不确定性 耗散控制 HJI不等式 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]