Author: "Liu, Jason" / Publication Year Range: Last 3 years / Publisher: ieee / Topic: linear systems - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Liu, Jason" Topic linear systems Publication Year Range Last 3 years Publisher ieee

Author: Liu, Jason J. R., Yang, Nachuan, Kwok, Ka-Wai, and Lam, James
Subjects: *MULTIAGENT systems, *DIRECTED graphs, *POSITIVE systems, *LAPLACIAN matrices, *SYSTEMS theory, *LINEAR matrix inequalities
Abstract: This technical note investigates the positive consensus problem of multiagent systems with directed communication topologies, where all the agents have identical continuous-time positive linear dynamics. Existing works of such a problem mainly focus on the case, where networked communication topologies are of either undirected and incomplete graphs, or strongly connected directed graphs. In contrast to them, we study this problem in which the communication topologies of the multiagent system are described by directed graphs each containing a spanning tree, which is a more general and new scenario due to the interplay between the eigenvalues of the Laplacian matrix and the controller gains. Based on the existing results in spectral graph theory and positive linear systems theory, several necessary, and sufficient conditions on positive consensus of the directed multiagent system are derived through using linear matrix inequality techniques. A primal-dual iterative algorithm is developed for the computation of solutions. Finally, several numerical simulations are provided to illustrate the effectiveness of the proposed theoretical results. [ABSTRACT FROM AUTHOR]
Published: 2022
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Author: Liu, Jason J. R., Lam, James, Xie, Xiaochen, and Shu, Zhan
Subjects: *MIMO systems, *LINEAR systems, *LINEAR matrix inequalities, *SYMMETRIC matrices
Abstract: This article considers the problem of designing lead, lag, and lead-lag compensators for multi-input–multi-output (MIMO) linear systems under the $H_{\infty }$ performance measure. This is the first time that the lead, lag and lead-lag compensators are generalized to the MIMO cases by preserving their classical compensator structures. Theoretical results on the stability analysis and synthesis of MIMO systems under the $H_{\infty }$ control performance with the proposed lead, lag, and lead-lag compensators are obtained. Then relevant algorithms for designing lead, lag, and lead-lag compensators are provided to determine the compensator parameters. Differing from traditional design methods, which mostly rely on some trial-and-error procedures, the proposed methods are algorithmic and the compensators can be synthesized systematically. Illustrative examples are used to demonstrate the effectiveness and advantages of the proposed methods. [ABSTRACT FROM AUTHOR]
Published: 2021
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