Title :
Continuous-time H2 optimal control problem for descriptor systems
Author :
Ishihara, João Yoshiyuki ; Terra, Marco Henrique
Author_Institution :
Dept. of Electr. Eng., Sao Paulo Univ., Brazil
Abstract :
We consider the full information and the semi-state feedback H2 control problems for continuous-time descriptor systems. An explicit characterization of all optimal controllers has been given for these cases. We present also a parametrization of all optimal static and dynamic controllers for the LQR problem via semi-state feedback. We show that, for the general semi-state feedback H2 optimization, the usual gain matrix defined as a linear function of a solution of a generalized Riccati equation can be not H2-optimal. This contrasts with the classical results in LQR theory for descriptor systems and with the results of H2 theory in regular state-space framework
Keywords :
Riccati equations; closed loop systems; continuous time systems; feedback; linear quadratic control; optimisation; stability; transfer function matrices; LQR problem; continuous-time H2 optimal control; continuous-time descriptor systems; descriptor systems; dynamic controllers; full information control; gain matrix; general semi-state feedback H2 optimization; optimal controllers; semi-state feedback H2 control; static controllers; Control systems; Feedback loop; H infinity control; Hydrogen; Information systems; Optimal control; Output feedback; Riccati equations; State feedback; Stochastic processes;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.879531
