Title :
A direct method of constructing H2 suboptimal controllers-continuous-time systems
Author :
Lin, Zongli ; Saberi, Ali ; Sannuti, Peddapullaiah ; Shamash, Yacov A.
Author_Institution :
Dept. of Appl. Math. & Stat., State Univ. of New York, Stony Brook, NY, USA
Abstract :
An algorithm called the `H2 suboptimal state feedback gain sequence´ (H2 SOSFGS) algorithm is developed. Rather than utilizing a `perturbation method´ which is numerically stiff and computationally prohibitive, the H2 SOSFGS algorithm utilizes a direct eigenvalue assignment method to come up with a sequence of H 2 suboptimal state feedback gains. Also, although the sequence of H2 suboptimal state feedback gains constructed by the H2 SOSFGS algorithm depends on a parameter ε, the construction procedure itself does not require explicitly the value of the parameter ε. For a given H2 suboptimal state feedback gain, a sequence of observer gains for either a full or a reduced order observer can be constructed by merely dualizing the H2 SOSFGS algorithm
Keywords :
closed loop systems; continuous time systems; control system synthesis; eigenvalues and eigenfunctions; observers; state feedback; suboptimal control; transfer function matrices; H2 suboptimal state feedback gain sequence; direct eigenvalue assignment method; full order observer; observer gains; reduced order observer; Control systems; Eigenvalues and eigenfunctions; Force control; Hydrogen; Mathematics; Optimal control; Perturbation methods; Pollution measurement; State feedback; Statistics;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.610888
