Title :
Optimal control with regional pole constraints: an algebraic matrix equation approach
Author :
Wu, Jenq-Lang ; Lee, Tsu-Tian
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Inst. of Technol., Taipei, Taiwan
Abstract :
The design of optimal state feedback controller of linear time invariant systems with algebraic regional pole constraint is studied. The design method is based on optimal control theory and algebraic matrix equations, which are constructed according to the boundary of the constraint region. The constraint region may be determined by several algebraic inequalities, so it can approach the desired region very closely. The necessary and sufficient conditions for the optimal state feedback control law that shall ensure all closed-loop system poles lie within the constraint region and, meanwhile, shall minimize a multi-objective performance index, is derived. The performance index is consisted of two parts, namely, one part is used to penalize the sustained error, while the other part is used to guarantee that the closed-loop poles shall lie within the desired region and to improve the robustness properties of the closed-loop system
Keywords :
closed loop systems; control system synthesis; matrix algebra; optimal control; performance index; poles and zeros; robust control; state feedback; algebraic matrix equation; closed-loop system poles; constraint region boundary; linear time-invariant systems; multi-objective performance index minimization; necessary and sufficient conditions; optimal control; regional pole constraints; robustness; state feedback; Control systems; Design methodology; Equations; Linear feedback control systems; Linear matrix inequalities; Matrices; Optimal control; Performance analysis; State feedback; Time invariant systems;
Conference_Titel :
Systems, Man, and Cybernetics, 1994. Humans, Information and Technology., 1994 IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-2129-4
DOI :
10.1109/ICSMC.1994.400150
