含有不确定性的非线性互联系统的鲁棒分散耗散控制  

Robust decentralized dissipative control for nonlinear interconnected system with uncertainties

作　　者：朱永红[1] 姜长生[1] 费树岷[2] 

机构地区：[1]南京航空航天大学自动化学院,南京210016 [2]东南大学自动化研究所,南京210096

出　　处：《东南大学学报（自然科学版）》2002年第6期899-904,共6页Journal of Southeast University：Natural Science Edition

基　　金：国家自然科学基金资助项目 ( 6 0 174 0 4 5)

摘　　要：基于二次型供给率 ,研究了具有不确定和干扰的非线性互联系统的鲁棒分散耗散控制问题 ,建立了鲁棒集中耗散控制和鲁棒分散耗散控制之间的联系 .讨论了鲁棒分散耗散控制和鲁棒分散H∞ 以及鲁棒分散无源控制之间的关系 .基于HJI不等式给出了含有不确定性和干扰非线性互联系统鲁棒分散耗散控制存在的充分条件 ,即对于所有允许的不确定性 ,如果存在标量C1类存储函数使得HJI不等式有非负定解 ,那么非线性互联系统鲁棒分散耗散控制就可获得 ,并且构造的控制器使得非线性互联系统在给定二次型供给率下具有鲁棒耗散性 .The problem of robust decentralized dissipative control for a class of nonlinear interconnected system with uncertainties and disturbances is concerned. Those uncertainties are described by bounded norm.The interconnection between the nonlinear robust dissipative control problem and the nonlinear decentralized dissipative control problem is established. The relation between the nonlinear robust decentralized dissipative control problem and the nonlinear robust decentralized H ∞ and passive control problem is also discussed. A sufficient condition for the existence of a solution to robust decentralized dissipative control via state feedback and via output feedback is derived in term of a set of Hamilton Jacobi Issacs(HJI) inequalities. The sufficient condition is that the robust decentralized dissipative control problem can be resolved for all admissible uncertainty, if there exists a scaling C 1 storage function such that HJI inequalities have nonnegative solution. The controllers constructed make the nonlinear system robust dissipative with respect to the quadratic supply rate. An example is also presented to verify the validity of the design method.

关 键 词：非线性互联系统 鲁棒耗散控制 分散控制 不确定性 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程] TP273[自动化与计算机技术—控制科学与工程]