Robust H_∞ Control of Hamiltonian System with Uncertainty  

作　　者：薛安成 梅生伟 胡伟 周原 

机构地区：[1]Department of Electrical Engineering, Tsinghua University

出　　处：《Tsinghua Science and Technology》2003年第6期676-680,共5页清华大学学报（自然科学版（英文版）

基　　金：the National Natural Science Foundationof China (No. 5 98372 70 ) and the National Key BasicResearch and Development (973) Program of China(No. G19980 2 0 30 9)

摘　　要：This paper investigates the robust H ∞ problem for a class of generalized forced Hamiltonian systems with uncertainties. The robust L 2-gain was proved for the Hamiltonian with a sufficient condition for stable control of multimachine power systems expressed as a matrix algebraic inequality. A similar sufficient condition was then extended to the robust H ∞ control of Hamiltonian systems to construct the state feedback H ∞ control law. A numerical example is given to verify the validity of the proposed control scheme, which shows the effectiveness and promising application of the method.This paper investigates the robust H ∞ problem for a class of generalized forced Hamiltonian systems with uncertainties. The robust L 2-gain was proved for the Hamiltonian with a sufficient condition for stable control of multimachine power systems expressed as a matrix algebraic inequality. A similar sufficient condition was then extended to the robust H ∞ control of Hamiltonian systems to construct the state feedback H ∞ control law. A numerical example is given to verify the validity of the proposed control scheme, which shows the effectiveness and promising application of the method.

关 键 词：Hamiltonian systems robust H  ∞ control UNCERTAINTY 

分 类 号：O231[理学—运筹学与控制论]