Advanced Takagi-Sugeno fuzzy systems : delay and saturation
著者
書誌事項
Advanced Takagi-Sugeno fuzzy systems : delay and saturation
（Studies in systems, decision and control / series editor Janusz Kacprzyk, 8）
Springer, c2014
大学図書館所蔵 全3件
注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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.
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