Non-overshoot tracking control for positive continuous-time linear systems

Chen, Jiahao; Yang, Yizhuo; Du, Baozhu

doi:10.1177/09596518221122580

Cited by 1 publication

(1 citation statement)

References 26 publications

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“…10 Such types of models could describe those systems whose state and output trajectories remain in the nonnegative orthant whenever their initial conditions and inputs are nonnegative, which are referred to as positive systems. 11 With one-dimensional (1D) positive systems being an active field of research, [12][13][14] increasing attention is paid to the study of 2D positive systems. Some recent results on the control/filtering problems for 2D positive systems can be found in the literature.…”

Section: Introductionmentioning

confidence: 99%

Dissipative filtering for uncertain positive Roesser system under the try-once-discard protocol

Zhang,

Liang

2024

Proceedings of the Institution of Mechanical Engineers, Part I:

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This article addresses the problem of dissipative filtering for the delayed positive Roesser system with uncertainties under the try-once-discard communication protocol. To estimate the output of the addressed two-dimensional system, both positive lower- and upper-bounding filters are constructed, where the signals from the sensor nodes to the remote filters are transmitted through a shared communication network. To avoid the undesired data congestion phenomenon, the try-once-discard protocol is implemented to dynamically schedule the transmission sequence of the sensor nodes. Then, sufficient conditions are derived to design appropriate filters ensuring that the filtering error systems are positive, two-dimensional [Formula: see text]- γ-dissipative, and asymptotically stable. Finally, one numerical example is presented to demonstrate effectiveness of the designed filters.

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