TY - JOUR
T1 - New results on asynchronous H∞ control for switched discrete-time linear systems under dwell time constraint
AU - Xiao, Jian
AU - Xiang, Weiming
N1 - Funding Information:
This work is supported by National Natural Science Foundation of China under Grants 51177137 and 61134001 .
PY - 2014/9/1
Y1 - 2014/9/1
N2 - In this technical note, the ℓ2 gain analysis and asynchronous H∞ control problems for switched discrete-time linear systems are addressed. Under the dwell time constraint, the computation of ℓ2 gains versus dwell time is viewed as an open problem. By introducing a novel dwell time dependent Lyapunov function, an LMI-based sufficient condition is proposed to solve the ℓ2 gain analysis problem. Since the derived conditions are all convex in system matrices, it is convenient to be applied into H∞ controller design. Thus, in the presence of asynchronous switching, an H∞ controller is presented to ensure the closed-loop system with a desired non-weighted H ∞ performance. The proposed approach can also easily characterize the relationship between H∞ performance, dwell time and asynchronous time. Finally, several academic examples are provided to illustrate our results.
AB - In this technical note, the ℓ2 gain analysis and asynchronous H∞ control problems for switched discrete-time linear systems are addressed. Under the dwell time constraint, the computation of ℓ2 gains versus dwell time is viewed as an open problem. By introducing a novel dwell time dependent Lyapunov function, an LMI-based sufficient condition is proposed to solve the ℓ2 gain analysis problem. Since the derived conditions are all convex in system matrices, it is convenient to be applied into H∞ controller design. Thus, in the presence of asynchronous switching, an H∞ controller is presented to ensure the closed-loop system with a desired non-weighted H ∞ performance. The proposed approach can also easily characterize the relationship between H∞ performance, dwell time and asynchronous time. Finally, several academic examples are provided to illustrate our results.
KW - Asynchronous switching
KW - Dwell time
KW - Switched discrete-time linear system
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U2 - 10.1016/j.amc.2014.05.097
DO - 10.1016/j.amc.2014.05.097
M3 - Article
AN - SCOPUS:84903597537
SN - 0096-3003
VL - 242
SP - 601
EP - 611
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
ER -