Title :
A direct method of constructing H2 suboptimal controllers-discrete-time systems
Author :
Lin, Zongli ; Saberi, Ali ; Sannuti, Peddapullaiah ; Shamash, Yacov A.
Author_Institution :
Dept. of Electr. Eng., Virginia Univ., Charlottesville, VA, USA
Abstract :
For discrete-time systems, an H2 suboptimal control problem is defined and analyzed. An algorithm called `H2 suboptimal state feedback gain sequence´ (H2 SOSFGS) algorithm is developed. The H2 SOSFGS algorithm utilizes a direct eigenvalues assignment method to come up with a sequence of H2 suboptimal state feedback gains. Next, attention is focused on constructing a sequence of H2 suboptimal estimator based measurement feedback controllers. Three different estimator structures-prediction, current and reduced order estimators-are considered. For a given H2 suboptimal state feedback gain, a sequence of estimator gains for any of the three considered estimators can be constructed by dualizing the H2 SOSFGS algorithm. This paper is the discrete-time version of the H2 suboptimal controller given by Lin et al
Keywords :
discrete time systems; H2 suboptimal control; discrete-time systems; duality; eigenvalues assignment; gain sequence; reduced order estimators; state feedback; suboptimal estimator; Adaptive control; Control systems; Eigenvalues and eigenfunctions; Force control; Hydrogen; Optimal control; Perturbation methods; Poles and zeros; State estimation; State feedback;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657578
