Periodic event-triggered control (PETC) has the advantages of both sampled-data control and event-triggered control, and is well-suited for implementation in digital platforms. However, existing results on PETC design mainly focus on linear systems, and their extension to nonlinear systems are still sparse. This paper investigates PETC design for general nonlinear systems subject to external disturbances, and provides sufficient conditions to ensure that the closed-loop system implemented by PETC input-to-state stable, using state feedback and observer-based output feedback controllers, respectively. For incrementally quadratic nonlinear systems, sufficient conditions for PETC design are provided in the form of linear matrix inequalities. The sampling period and triggering functions for all the cases considered are provided explicitly. Two examples are given to illustrate the effectiveness of the proposed method.
from cs updates on arXiv.org https://ift.tt/2F75KGf
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