TY - GEN
T1 - Remarks on ISS and integral-ISS stabilization with positive controls
AU - Lin, Yuandan
AU - Wang, Yuan
AU - Jiang, Zhong Ping
N1 - Funding Information:
Acknowledgment. This work was partially supported by NSF grants ECS-0093176, DMS-0504462, DMS-0504296 and the Chinese National Natural Science Foundation grants 60228003 and 60628302.
PY - 2008
Y1 - 2008
N2 - We consider nonlinear systems with both control and disturbance inputs. The main problem addressed in this work is the design of state feedback control laws, achieving ISS and integral-ISS disturbance attenuation, with restricted control under the assumption that an appropriate control Lyapunov function is known. Our results generalize the previous results on ISS and integral-ISS stabilization to the restricted cases when controls are only allowed to take positive or bounded positive values.
AB - We consider nonlinear systems with both control and disturbance inputs. The main problem addressed in this work is the design of state feedback control laws, achieving ISS and integral-ISS disturbance attenuation, with restricted control under the assumption that an appropriate control Lyapunov function is known. Our results generalize the previous results on ISS and integral-ISS stabilization to the restricted cases when controls are only allowed to take positive or bounded positive values.
KW - Asymptotic stabilization
KW - Lyapunov methods
KW - Nonlinear system control
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U2 - 10.3182/20080706-5-KR-1001.2758
DO - 10.3182/20080706-5-KR-1001.2758
M3 - Conference contribution
AN - SCOPUS:79961019770
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -