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Image of Advanced Takagi‒Sugeno Fuzzy Systems: Delay and Saturation

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Advanced Takagi‒Sugeno Fuzzy Systems: Delay and Saturation

Benzaouia, Abdellah - Personal Name; Hajjaji, Ahmed El - Personal Name;

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This monograph puts the reader in touch with a decade’s worth of new developments in the field of fuzzy control specifically those of the popular Takagi-Sugeno (T-S) type. New techniques for stabilizing control analysis and design based on multiple Lyapunov functions and linear matrix inequalities (LMIs), are proposed. All the results are illustrated with numerical examples and figures and a rich bibliography is provided for further investigation.

Control saturations are taken into account within the fuzzy model. The concept of positive invariance is used to obtain sufficient asymptotic stability conditions for the fuzzy system with constrained control inside a subset of the state space.

The authors also consider the non-negativity of the states. This is of practical importance in many chemical, physical and biological processes that involve quantities that have intrinsically constant and non-negative sign: concentration of substances, level of liquids, etc. Results for linear systems are then extended to linear systems with delay. It is shown that LMI techniques can usually handle the new constraint of non-negativity of the states when care is taken to use an adequate Lyapunov function. From these foundations, the following further problems are also treated:

· asymptotic stabilization of uncertain T-S fuzzy systems with time-varying delay, focusing on delay-dependent stabilization synthesis based on parallel distributed controller (PDC);

· asymptotic stabilization of uncertain T-S fuzzy systems with multiple delays, focusing on delay-dependent stabilization synthesis based on PDC with results obtained under linear programming;

· design of delay-independent, observer-based, H-infinity control for T–S fuzzy systems with time varying delay; and

· asymptotic stabilization of 2-D T–S fuzzy systems.

Advanced Takagi–Sugeno Fuzzy Systems provides researchers and graduate students interested in fuzzy control systems with further approaches based LMI and LP.


Availability
Inventory Code Barcode Call Number Location Status
1408000569EB0002654511.313 Ben aCentral Library (OPAC)Available
Detail Information
Series Title
Studies in Systems, Decision and Control
Call Number
511.313 Ben a
Publisher
Switzerland : Springer Cham., 2014
Collation
xxxii, 294p.: Ill.
Language
English
ISBN/ISSN
978-3-319-05639-5
Classification
511.313
Content Type
Ebook
Media Type
-
Carrier Type
online resource
Edition
1
Subject(s)
Fuzzy systems
Specific Detail Info
-
Statement of Responsibility
RTS
Other version/related

No other version available

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  • Advanced Takagi‒Sugeno Fuzzy Systems: Delay and Saturation
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