Title :
Optimal H2 control of oscillations via derivative state constraints
Author :
Trisuwannawat, Thanit ; Komine, Noriyuki ; Iida, Michihiko
Author_Institution :
Sch. of Eng., Tokai Univ., Hiratsuka, Japan
Abstract :
Studied in the paper are the optimal H2 controls of oscillatory systems via the constraints of the derivatives of state variables. It is shown that the derivative state constrained H2 optimal control can be reduced to the standard H2 optimal control problem with modified controlled output equation and the solution to the modified standard problem has salient features for controlling oscillatory systems. The incorporation of this approach with the stability degree specification scheme is also shown. The results show how to select the constraining weights in the standard modern control design of oscillatory systems that has been a tough subject to control in state space as well as in classical frequency domain. The verifications of the proposed schemes are given in an illustrative example
Keywords :
Riccati equations; closed loop systems; control system synthesis; linear quadratic Gaussian control; matrix algebra; stability; state-space methods; time-varying systems; constraining weights; derivative state constraints; optimal H2 control; oscillatory systems; stability degree specification scheme; Constraint theory; Control systems; Design engineering; Equations; Hydrogen; Matrices; Matrix decomposition; Optimal control; Singular value decomposition;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786429
