Stability Analysis of Interval Type-2 Polynomial Fuzzy-model-based Control Systems

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Release : 2020
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Stability Analysis of Interval Type-2 Polynomial Fuzzy-model-based Control Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability Analysis of Interval Type-2 Polynomial Fuzzy-model-based Control Systems write by Ge Song. This book was released on 2020. Stability Analysis of Interval Type-2 Polynomial Fuzzy-model-based Control Systems available in PDF, EPUB and Kindle.

Stability and Performance Analysis of Polynomial Fuzzy-model-based Control Systems and Interval Type-2 Fuzzy Logic Systems

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Release : 2018
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Stability and Performance Analysis of Polynomial Fuzzy-model-based Control Systems and Interval Type-2 Fuzzy Logic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability and Performance Analysis of Polynomial Fuzzy-model-based Control Systems and Interval Type-2 Fuzzy Logic Systems write by Bo Xiao. This book was released on 2018. Stability and Performance Analysis of Polynomial Fuzzy-model-based Control Systems and Interval Type-2 Fuzzy Logic Systems available in PDF, EPUB and Kindle. The main research objective in this thesis is to investigate the stability and performance of the interval type-2 (IT2) polynomial-fuzzy-model-based (PFMB) control system. PFMB control scheme has been developed recently around 2009 and demonstrates more potential than the traditional Takagi-Sugeno fuzzy-model-based (T-S FMB) control approach to represent the nonlinearities in the plant. Meanwhile, the IT2 fuzzy logic has also been proposed to incorporate uncertainties of the nonlinear systems into the membership functions directly. Through the IT2 PFMB control design approach, both the nonlinearity and the uncertainty in the system can be handled well. The control performance and the relaxation of stability conditions of IT2 PFMB control systems are studied and investigated in the thesis. The main contribution of the thesis is summarized in three tasks and presented as following: In the first task in Chapter 3, the stability conditions of the PFMB systems equipped with mismatched IT2 membership functions are investigated. Unlike the membership-function-independent (MFI) methods, the information and properties of IT2 membership functions are considered in the stability analysis and contained in the stability conditions in terms of sum-of-squares (SOS) based on the Lyapunov stability theory. Three methods, demonstrating their own merits, are proposed to conduct the stability analysis for the IT2 PFMB control systems and all of the methods can achieve feasible control results. All the three approaches are well explained, which offers the reader systematic ways to include the information of the membership functions into the analysis. In addition, all the approaches are compared and the pros and cons are presented to help the reader choose the most appropriate approach in the applications.

Polynomial Fuzzy Model-Based Control Systems

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Release : 2016-07-18
Genre : Technology & Engineering
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Book Rating : 948/5 ( reviews)

Polynomial Fuzzy Model-Based Control Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Polynomial Fuzzy Model-Based Control Systems write by Hak-Keung Lam. This book was released on 2016-07-18. Polynomial Fuzzy Model-Based Control Systems available in PDF, EPUB and Kindle. This book presents recent research on the stability analysis of polynomial-fuzzy-model-based control systems where the concept of partially/imperfectly matched premises and membership-function dependent analysis are considered. The membership-function-dependent analysis offers a new research direction for fuzzy-model-based control systems by taking into account the characteristic and information of the membership functions in the stability analysis. The book presents on a research level the most recent and advanced research results, promotes the research of polynomial-fuzzy-model-based control systems, and provides theoretical support and point a research direction to postgraduate students and fellow researchers. Each chapter provides numerical examples to verify the analysis results, demonstrate the effectiveness of the proposed polynomial fuzzy control schemes, and explain the design procedure. The book is comprehensively written enclosing detailed derivation steps and mathematical derivations also for readers without extensive knowledge on the topics including students with control background who are interested in polynomial fuzzy model-based control systems.

Stability Analysis of Fuzzy-Model-Based Control Systems

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Release : 2011-01-27
Genre : Computers
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Book Rating : 43X/5 ( reviews)

Stability Analysis of Fuzzy-Model-Based Control Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stability Analysis of Fuzzy-Model-Based Control Systems write by Hak-Keung Lam. This book was released on 2011-01-27. Stability Analysis of Fuzzy-Model-Based Control Systems available in PDF, EPUB and Kindle. In this book, the state-of-the-art fuzzy-model-based (FMB) based control approaches are covered. A comprehensive review about the stability analysis of type-1 and type-2 FMB control systems using the Lyapunov-based approach is given, presenting a clear picture to researchers who would like to work on this field. A wide variety of continuous-time nonlinear control systems such as state-feedback, switching, time-delay and sampled-data FMB control systems, are covered. In short, this book summarizes the recent contributions of the authors on the stability analysis of the FMB control systems. It discusses advanced stability analysis techniques for various FMB control systems, and founds a concrete theoretical basis to support the investigation of FMB control systems at the research level. The analysis results of this book offer various mathematical approaches to designing stable and well-performed FMB control systems. Furthermore, the results widen the applicability of the FMB control approach and help put the fuzzy controller in practice. A wide range of advanced analytical and mathematical analysis techniques will be employed to investigate the system stability and performance of FMB-based control systems in a rigorous manner. Detailed analysis and derivation steps are given to enhance the readability, enabling the readers who are unfamiliar with the FMB control systems to follow the materials easily. Simulation examples, with figures and plots of system responses, are given to demonstrate the effectiveness of the proposed FMB control approaches.

Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems

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Release : 2016-02-29
Genre : Technology & Engineering
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Book Rating : 931/5 ( reviews)

Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems write by Hongyi Li. This book was released on 2016-02-29. Analysis and Synthesis for Interval Type-2 Fuzzy-Model-Based Systems available in PDF, EPUB and Kindle. This book develops a set of reference methods capable of modeling uncertainties existing in membership functions, and analyzing and synthesizing the interval type-2 fuzzy systems with desired performances. It also provides numerous simulation results for various examples, which fill certain gaps in this area of research and may serve as benchmark solutions for the readers. Interval type-2 T-S fuzzy models provide a convenient and flexible method for analysis and synthesis of complex nonlinear systems with uncertainties.