Finite-Time Containment Control for Nonlinear Second-Order Multiagent System Under Directed Topology

Pang, Kai; Ma, Lifeng; Bai, Hongyang; Xue, Shuai

doi:10.1109/jsyst.2021.3130611

Cited by 15 publications

(1 citation statement)

References 46 publications

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“…By contrast, FTS plays a heavily weighted role in investigating the transient dynamics of a system over a finite time interval. A few decades have witnessed the development of FTS, [22][23][24][25] since the state behaviors of many engineering applications are expected to be maintained within a work scope over a specific time interval to satisfy hardware limitations or keep the system linear. Notice that most achievements for 1-D systems cannot be simply converted to 2-D systems.…”

Section: Introductionmentioning

confidence: 99%

Extended state observer‐based finite‐region control for 2‐D Markov jump systems

Peng

Dong

et al. 2022

Intl J Robust & Nonlinear

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In this article, an extended state observer‐based finite‐region control scheme is presented for two‐dimensional Markov jump systems with unknown mismatched disturbances. The mathematical model of the two‐dimensional Markov jump systems is built on the well‐known Roesser model. By establishing special recursive formulas and utilizing the 2‐D Lyapunov function theory, sufficient conditions are obtained, which prove that the resultant system is finite‐region bounded, if some linear matrix inequalities are achieved. Then, we provide an algorithm to solve the extended state observer‐based controller gains. With the proposed control scheme, the external disturbances can be actively rejected from the system outputs. To conclude, a numerical example based on the Darboux equation is provided to demonstrate the validity and effectiveness of the devised control scheme.

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Section: Introductionmentioning

confidence: 99%