03462nam 22005895 450 991025433030332120200701152254.0981-10-2227-510.1007/978-981-10-2227-2(CKB)3710000000765116(DE-He213)978-981-10-2227-2(MiAaPQ)EBC4614815(PPN)194513491(EXLCZ)99371000000076511620160727d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAnalysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance /by Xiaoming Chen1st ed. 2017.Singapore :Springer Singapore :Imprint: Springer,2017.1 online resource (XIX, 116 p. 37 illus. in color.) Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053"Doctoral Thesis accepted by The University of Hong Kong, Hong Kong."981-10-2226-7 Includes bibliographical references at the end of each chapters.Introduction -- ℓ1-induced Controller Design for Positive Systems -- L1-induced Output-Feedback Controller Synthesis for Interval Positive Systems -- Positive State-Bounding Observer for Interval Positive Systems -- Positive Filtering for Positive Systems under L1 Performance -- Controller and Filter Syntheses for Positive Takagi-Sugeno Fuzzy Systems under ℓ1 Performance -- Conclusions and Future Work.This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discrete and continuous positive systems. It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a “hot topic” in the field of control. .Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Automatic controlMechanical engineeringMicroprogrammingControl and Systems Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/T19010Mechanical Engineeringhttps://scigraph.springernature.com/ontologies/product-market-codes/T17004Control Structures and Microprogramminghttps://scigraph.springernature.com/ontologies/product-market-codes/I12018Automatic control.Mechanical engineering.Microprogramming.Control and Systems Theory.Mechanical Engineering.Control Structures and Microprogramming.512.9434Chen Xiaomingauthttp://id.loc.gov/vocabulary/relators/aut703953MiAaPQMiAaPQMiAaPQBOOK9910254330303321Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance1904956UNINA