New PDF release: Analysis and Synthesis of Positive Systems Under ℓ1 and L1

By Xiaoming Chen

ISBN-10: 9811022267

ISBN-13: 9789811022265

ISBN-10: 9811022275

ISBN-13: 9789811022272

This thesis introduces novel and demanding effects concerning the research and synthesis of confident structures, particularly lower than l1 and L1 functionality. It describes balance research, controller synthesis, and bounding positivity-preserving observer and filtering layout for numerous either discrete and non-stop optimistic systems.

It as a result derives computationally effective recommendations in accordance with linear programming when it comes to matrix inequalities, in addition to a couple of analytical recommendations got for distinctive instances. The thesis applies quite a number novel ways and primary options to the extra research of optimistic platforms, therefore contributing considerably to the idea of optimistic platforms, a “hot subject” within the box of regulate.

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Additional info for Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance

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4 Closed-loop forced response. Reprinted from Ref. [10], Copyright 2013, with permission from Elsevier 1 -Induced Controller Design for Positive Systems 50 x1 x2 x3 45 40 Number of Pests 35 30 25 20 15 10 5 0 0 5 10 15 20 Time k Fig. 5 Signal w(k). Reprinted from Ref. 1 also provides a good solution to the controller synthesis problem. From this example, we know by applying the state-feedback control, even under the influx of pests from other regions, the pests in this region can be annihilated eventually.

Benzaouia A, Hmamed A, Hajjaji EL, Hajjaji EL A (2010) Stabilization of controlled positive discrete-time T-S fuzzy systems by state feedback control. Int J Adap Control Signal Process 24:1091–1106 95. Mao Y, Zhang H, Dang C et al (2012) Stability analysis and constrained control of a class of fuzzy positive systems with delays using linear copositive Lyapunov functional. Circuits Syst Signal Process 31(5):1863–1875 96. Wu Y, Luo H, Zhang H et al (2013) Stability analysis of discrete-time fuzzy positive systems with time delays.

IEEE Trans Fuzzy Syst 21(4):655–671 75. Wang L (1999) A course in fuzzy systems. Prentice-Hall press, USA 76. Guerra TM, Vermeiren L (2004) LMI-based relaxed nonquadratic stabilization conditions for nonlinear systems in the Takagi-Sugeno’s form. Automatica 40(5):823–829 18 1 Introduction 77. Tanaka K, Ikeda T, Wang HO et al (1998) Fuzzy regulators and fuzzy observers: relaxed stability conditions and LMI-based designs. IEEE Trans Fuzzy Syst 6(2):250–265 78. Tuan HD, Apkarian P, Narikiyo T et al (2001) Parameterized linear matrix inequality techniques in fuzzy control system design.

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Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance by Xiaoming Chen


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