Advanced Takagi-sugeno Fuzzy Systems: Delay And Saturation by Abdellah BenzaouiaAdvanced Takagi-sugeno Fuzzy Systems: Delay And Saturation by Abdellah Benzaouia

Advanced Takagi-sugeno Fuzzy Systems: Delay And Saturation

byAbdellah Benzaouia, Ahmed El Hajjaji

Hardcover | July 1, 2014

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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 Systemsprovides researchers and graduate students interested in fuzzy control systems with further approaches based LMI and LP.

Title:Advanced Takagi-sugeno Fuzzy Systems: Delay And SaturationFormat:HardcoverDimensions:294 pages, 23.5 × 15.5 × 0.03 inPublished:July 1, 2014Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3319056387

ISBN - 13:9783319056388

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Table of Contents

Introduction to Takagi-Sugeno Fuzzy Systems.- Stabilization of Fuzzy Systems with Constrained Controls.- Static Output Feedback Control for Fuzzy Systems.- Stabilization of Controlled Positive Discrete-time Takagi-Sugeno Fuzzy Systems by State Feedback Control.- Delay-Dependent Stabilization Conditions of Controlled Positive Takagi-Sugeno Fuzzy Systems with Time-Varying Delay.- Stabilization of Positive Takagi-Sugeno Fuzzy Discrete-Time Systems with Multiple Delays and Bounded Controls.- Robust Control of Takagi-Sugeno Fuzzy Systems with Time-varying Delay Using New Approach.- Robust Output H1 Fuzzy Control. Stabilization of Two-Dimensional Takagi-Sugeno Fuzzy Systems by State Feedback Control.- Control of a DC-DC Converter.

Editorial Reviews

"The monograph is of tangible value to all those whoare interested in analysis and synthesis of control and stabilizationalgorithms realized for fuzzy rule-based models. The presentation of thematerial is clear, up-to-the point whereas the flow of the main ideas iscoherent and logically organized. . All in all, the book could be a usefulmaterial to the readers engaged in the modem trends of control and fuzzycontrol, in particular." (Witold Pedrycz, zbMATH 1323.93001, 2015)