TY - GEN
T1 - Explicit hybrid optimal controller for disturbance attenuation in linear hybrid systems
AU - Lin, Hai
AU - Zhai, Guisheng
AU - Antsaklis, Panos J.
N1 - Funding Information:
The partial support of the National Science Foundation (NSF CCR01-13131) is gratefully acknowledged.
PY - 2005
Y1 - 2005
N2 - in this paper, the disturbance attenuation properties for classes of linear hybrid systems perturbed by exterior disturbances are investigated, and a hybrid l1 robust optimal control problem is studied. First, a procedure is developed to determine the minimal l∞ induced gain of linear hybrid systems. However, for general hybrid systems, the termination of the procedure is not guaranteed. Then, the decidability issues are briefly discussed. Finally, we study the robust l1 optimal controller synthesis problem. It is shown that the optimal performance level can be achieved by a piecewise linear state feedback control law for the linear hybrid systems, and a systematic approach to design such feedback control is proposed.
AB - in this paper, the disturbance attenuation properties for classes of linear hybrid systems perturbed by exterior disturbances are investigated, and a hybrid l1 robust optimal control problem is studied. First, a procedure is developed to determine the minimal l∞ induced gain of linear hybrid systems. However, for general hybrid systems, the termination of the procedure is not guaranteed. Then, the decidability issues are briefly discussed. Finally, we study the robust l1 optimal controller synthesis problem. It is shown that the optimal performance level can be achieved by a piecewise linear state feedback control law for the linear hybrid systems, and a systematic approach to design such feedback control is proposed.
KW - Disturbance rejection
KW - Hybrid systems
KW - Piecewise linear controllers
KW - Robust performance
KW - State feedback
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U2 - 10.3182/20050703-6-cz-1902.00334
DO - 10.3182/20050703-6-cz-1902.00334
M3 - Conference contribution
AN - SCOPUS:79960701169
SN - 008045108X
SN - 9780080451084
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 301
EP - 306
BT - Proceedings of the 16th IFAC World Congress, IFAC 2005
PB - IFAC Secretariat
ER -