Analysis and Synthesis of Discrete-Time Interconnected Positive Systems
This paper presents analysis and synthesis of interconnected systems where the interconnected system of interest consists of discrete-time positive subsystems and an interconnection matrix. The paper gives sufficient conditions for the discrete-time single-input single-output (SISO) subsystems and t...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2018-03-01
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| Series: | SICE Journal of Control, Measurement, and System Integration |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.9746/jcmsi.11.91 |
| _version_ | 1797661016103845888 |
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| author | Hiroyuki Ichihara Shoya Tanabe Yoshio Ebihara Dimitri Peaucelle |
| author_facet | Hiroyuki Ichihara Shoya Tanabe Yoshio Ebihara Dimitri Peaucelle |
| author_sort | Hiroyuki Ichihara |
| collection | DOAJ |
| description | This paper presents analysis and synthesis of interconnected systems where the interconnected system of interest consists of discrete-time positive subsystems and an interconnection matrix. The paper gives sufficient conditions for the discrete-time single-input single-output (SISO) subsystems and the interconnection matrix so that the interconnected system has the property of persistence. The fundamental differences for the persistence between the conditions of the discrete-time setting and those of a continuous-time setting are also discussed. The obtained analysis result can apply to formation control for multi-agent systems, which is a synthesis part of the paper. Numerical examples including formation control of mobile robots are shown to illustrate the proposed formation control design method. |
| first_indexed | 2024-03-11T18:39:16Z |
| format | Article |
| id | doaj.art-e63b43c7fab847d593a3c9a25df1dc15 |
| institution | Directory Open Access Journal |
| issn | 1884-9970 |
| language | English |
| last_indexed | 2024-03-11T18:39:16Z |
| publishDate | 2018-03-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | SICE Journal of Control, Measurement, and System Integration |
| spelling | doaj.art-e63b43c7fab847d593a3c9a25df1dc152023-10-12T13:43:55ZengTaylor & Francis GroupSICE Journal of Control, Measurement, and System Integration1884-99702018-03-01112919910.9746/jcmsi.11.9112103193Analysis and Synthesis of Discrete-Time Interconnected Positive SystemsHiroyuki Ichihara0Shoya Tanabe1Yoshio Ebihara2Dimitri Peaucelle3Meiji UniversityMeiji UniversityKyoto UniversityCNRS, LAASThis paper presents analysis and synthesis of interconnected systems where the interconnected system of interest consists of discrete-time positive subsystems and an interconnection matrix. The paper gives sufficient conditions for the discrete-time single-input single-output (SISO) subsystems and the interconnection matrix so that the interconnected system has the property of persistence. The fundamental differences for the persistence between the conditions of the discrete-time setting and those of a continuous-time setting are also discussed. The obtained analysis result can apply to formation control for multi-agent systems, which is a synthesis part of the paper. Numerical examples including formation control of mobile robots are shown to illustrate the proposed formation control design method.http://dx.doi.org/10.9746/jcmsi.11.91interconnected systemspositive systemsdiscrete-time systemsformation controlmobile robots |
| spellingShingle | Hiroyuki Ichihara Shoya Tanabe Yoshio Ebihara Dimitri Peaucelle Analysis and Synthesis of Discrete-Time Interconnected Positive Systems SICE Journal of Control, Measurement, and System Integration interconnected systems positive systems discrete-time systems formation control mobile robots |
| title | Analysis and Synthesis of Discrete-Time Interconnected Positive Systems |
| title_full | Analysis and Synthesis of Discrete-Time Interconnected Positive Systems |
| title_fullStr | Analysis and Synthesis of Discrete-Time Interconnected Positive Systems |
| title_full_unstemmed | Analysis and Synthesis of Discrete-Time Interconnected Positive Systems |
| title_short | Analysis and Synthesis of Discrete-Time Interconnected Positive Systems |
| title_sort | analysis and synthesis of discrete time interconnected positive systems |
| topic | interconnected systems positive systems discrete-time systems formation control mobile robots |
| url | http://dx.doi.org/10.9746/jcmsi.11.91 |
| work_keys_str_mv | AT hiroyukiichihara analysisandsynthesisofdiscretetimeinterconnectedpositivesystems AT shoyatanabe analysisandsynthesisofdiscretetimeinterconnectedpositivesystems AT yoshioebihara analysisandsynthesisofdiscretetimeinterconnectedpositivesystems AT dimitripeaucelle analysisandsynthesisofdiscretetimeinterconnectedpositivesystems |