Title :
H2 algebraic Riccati equation for descriptor systems
Author :
Yang, Dongmei ; Zhang, QingLing ; Zhang, Guofeng
Author_Institution :
Coll. of Sci., Northeast Univ., Shenyang, China
Abstract :
In this paper, we study H2 generalized algebraic Riccati equations for continuous-time descriptor systems. First some preliminary results are presented. Secondly, we introduce Hamiltonian matrix and its properties for descriptor systems, and derive the conditions for the existence of a solution to H2 generalized algebraic Riccati equations which reveal an inter-relationship between Hamiltonian matrix and the solution. Finally, a numerical example is given to illustrate the main result
Keywords :
Riccati equations; continuous time systems; eigenvalues and eigenfunctions; optimal control; H2 control; Hamiltonian matrix; Riccati equations; continuous-time descriptor systems; Eigenvalues and eigenfunctions; Hydrogen; Riccati equations; Vectors;
Conference_Titel :
American Control Conference, 2001. Proceedings of the 2001
Conference_Location :
Arlington, VA
Print_ISBN :
0-7803-6495-3
DOI :
10.1109/ACC.2001.946352
