TY - GEN
T1 - Memory Dynamic Output Feedback Control for Discrete-Time Systems in Finite Frequency Domain
AU - Wang, Meng
AU - Liu, Lu
AU - Feng, Gang
AU - Qiu, Jianbin
PY - 2019
Y1 - 2019
N2 - In this paper, we study the problem of memory dynamic output feedback (MDOF) controller design for discrete-time systems subject to finite frequency disturbances, i.e., the low, middle, or high frequency range. In order to reduce controller design conservatism, a kind of memory control strategy is developed, which fully utilizes the useful past controller states. Our objective is to design a MDOF controller such that the closed-loop system is asymptotically stable with prescribed finite frequency H∞ performance. Based on the generalized Kalman-Yakubovich-Popov (GKYP) lemma, sufficient conditions are derived for the design of satisfactory MDOF controllers. The controller gains together with the optimal finite frequency H∞ performance can be obtained by solving a convex optimization algorithm in terms of linear matrix inequalities (LMIs). Finally, simulation studies are given the show the effectiveness of the proposed control approach.
AB - In this paper, we study the problem of memory dynamic output feedback (MDOF) controller design for discrete-time systems subject to finite frequency disturbances, i.e., the low, middle, or high frequency range. In order to reduce controller design conservatism, a kind of memory control strategy is developed, which fully utilizes the useful past controller states. Our objective is to design a MDOF controller such that the closed-loop system is asymptotically stable with prescribed finite frequency H∞ performance. Based on the generalized Kalman-Yakubovich-Popov (GKYP) lemma, sufficient conditions are derived for the design of satisfactory MDOF controllers. The controller gains together with the optimal finite frequency H∞ performance can be obtained by solving a convex optimization algorithm in terms of linear matrix inequalities (LMIs). Finally, simulation studies are given the show the effectiveness of the proposed control approach.
KW - Discrete-time systems
KW - Finite frequency H∞ performance
KW - Memory dynamic output feedback control
KW - , Generalized Kalman-Yakubovich-Popov (GKYP) lemma
UR - https://www.scopus.com/pages/publications/85073119078
UR - https://www.scopus.com/pages/publications/85073119078#tab=impact
U2 - 10.1109/CCDC.2019.8832437
DO - 10.1109/CCDC.2019.8832437
M3 - RGC 32 - Refereed conference paper (with host publication)
SN - 978-1-7281-0107-1
T3 - Proceedings of the Chinese Control and Decision Conference, CCDC
SP - 1112
EP - 1117
BT - Proceedings of the 31st Chinese Control and Decision Conference (2019 CCDC)
PB - IEEE
T2 - 31st Chinese Control and Decision Conference, CCDC 2019
Y2 - 3 June 2019 through 5 June 2019
ER -