DocumentCode :
41235
Title :
A Small-Gain Approach to Robust Event-Triggered Control of Nonlinear Systems
Author :
Tengfei Liu ; Zhong-Ping Jiang
Author_Institution :
State Key Lab. of Synthetical Autom. for Process Ind., Northeastern Univ., Shenyang, China
Volume :
60
Issue :
8
fYear :
2015
fDate :
Aug. 2015
Firstpage :
2072
Lastpage :
2085
Abstract :
This paper presents a new approach to event-triggered control for nonlinear uncertain systems by using the notion of input-to-state stability (ISS) and the nonlinear small-gain theorem. The contribution of this paper is threefold. First, it is proved that infinitely fast sampling can be avoided if the system is input-to-state stabilizable with the sampling error as the external input and the corresponding ISS gain is locally Lipschitz. No assumption on the existence of known ISS-Lyapunov functions is made in the discussions. Moreover, the forward completeness problem with event-triggered control is studied systematically by using ISS small-gain arguments. Second, the proposed approach gives rise to a new self-triggered sampling strategy for a class of nonlinear systems subject to external disturbances. If an upper bound of the external disturbance is known, then the closed-loop system can be designed to be robust to the external disturbance, and moreover, the system state globally asymptotically converges to the origin if the external disturbance decays to zero. Third, a new design method is developed for event-triggered control of nonlinear uncertain systems in the strict-feedback form. It is particularly shown that the ISS gain with the sampling error as the input can be designed to satisfy the proposed condition for event-triggered control and self-triggered control.
Keywords :
control system synthesis; nonlinear control systems; robust control; uncertain systems; ISS notion; external disturbance; input-to-state stability; locally Lipschitz gain; nonlinear small-gain theorem; nonlinear uncertain systems; robust event-triggered control; self-triggered control; self-triggered sampling strategy; small-gain approach; Closed loop systems; Large-scale systems; Linear systems; Nonlinear systems; Real-time systems; Robustness; Cyclic-small-gain theorem; Event-triggered control; cyclic-small-gain theorem; event-triggered control; input-to-state stability (ISS); nonlinear systems; robust control;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.2015.2396645
Filename :
7027161
Link To Document :
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