Title :
Optimal regional poles placement with time-weighted performance index
Author :
Lee, Tsu-Tian ; Jenq-Lang
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Inst. of Technol., Taipei, Taiwan
Abstract :
The design of optimal discrete-time linear time-invariant systems with time-weighted performance index is studied. The optimal state feedback control law, that ensures all closed-loop poles lie inside a region H and minimizes a time-weighted performance index, is derived. The region H could be any region bounded by line segments and/or quadratic curves. The performance index consists of two parts, namely, one part is used to penalize the sustained error, while the other part is used to improve the robustness of the closed-loop system. Illustrative examples are included to demonstrate the validity and applicability of the proposed method
Keywords :
closed loop systems; discrete time systems; feedback; linear systems; optimal control; performance index; poles and zeros; stability; H region; closed-loop poles; closed-loop system; discrete-time system; linear time-invariant systems; optimal state feedback control; quadratic curves; regional poles placement; robustness; time-weighted performance index; Control systems; Eigenvalues and eigenfunctions; Equations; Hydrogen; Lagrangian functions; Optimal control; Performance analysis; Robustness; State feedback; Symmetric matrices;
Conference_Titel :
Industrial Electronics, Control, and Instrumentation, 1993. Proceedings of the IECON '93., International Conference on
Conference_Location :
Maui, HI
Print_ISBN :
0-7803-0891-3
DOI :
10.1109/IECON.1993.339421
