Analysis and Synthesis of Fuzzy Control Systems: A - download pdf or read online

By Gang Feng

ISBN-10: 1420092642

ISBN-13: 9781420092646

Fuzzy common sense keep an eye on (FLC) has confirmed to be a well-liked keep an eye on technique for lots of advanced platforms in undefined, and is frequently used with nice luck as a substitute to standard keep watch over concepts. although, since it is essentially version unfastened, traditional FLC suffers from a scarcity of instruments for systematic balance research and controller layout. to handle this challenge, many model-based fuzzy keep an eye on ways were built, with the bushy dynamic version or the Takagi and Sugeno (T–S) fuzzy model-based ways receiving the best realization.

Analysis and Synthesis of Fuzzy regulate platforms: A Model-Based Approach bargains a special reference dedicated to the systematic research and synthesis of model-based fuzzy keep an eye on structures. After giving a short overview of the sorts of FLC, together with the T–S fuzzy model-based keep watch over, it totally explains the basic techniques of fuzzy units, fuzzy common sense, and fuzzy structures. this allows the booklet to be self-contained and gives a foundation for later chapters, which cover:

  • T–S fuzzy modeling and id through nonlinear types or facts
  • Stability research of T–S fuzzy platforms
  • Stabilization controller synthesis in addition to strong H∞ and observer and output suggestions controller synthesis
  • Robust controller synthesis of doubtful T–S fuzzy systems
  • Time-delay T–S fuzzy platforms
  • Fuzzy version predictive keep an eye on
  • Robust fuzzy filtering
  • Adaptive keep watch over of T–S fuzzy platforms

A reference for scientists and engineers in structures and regulate, the e-book additionally serves the wishes of graduate scholars exploring fuzzy good judgment keep watch over. It conveniently demonstrates that traditional regulate know-how and fuzzy good judgment keep an eye on could be elegantly mixed and additional built in order that risks of traditional FLC will be shunned and the horizon of traditional keep watch over know-how drastically prolonged. Many chapters characteristic program simulation examples and sensible numerical examples according to MATLAB®.

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Additional info for Analysis and Synthesis of Fuzzy Control Systems: A Model-Based Approach

Sample text

1 Common S-Norm and T-Norm Operatorsa S-Norm T-Norm Maximum: Smax (a, b) = max{a, b} Algebraic sum: Sas (a, b) = a + b − ab Bounded sum: Sbs (a, b) = min{1, a + b} Drastic sum: Minimum: Tmin (a, b) = min{a, b} Algebraic product: Tap (a, b) = ab Bounded product: Tbp (a, b) = max{0, a + b − 1} Drastic product:  a if b = 0  Sds (a, b) =  b if a = 0  1 if a, b > 0   a if b = 1  Tdp (a, b) =  b if a = 1  1 if a, b < 1  a a, b ∈ [0, 1] denote membership functions. 3 Fuzzy Relations and Fuzzy IF–THEN Rules Fuzzy relations are one of the most important concepts in fuzzy set theory.

7 shows the block diagram of the structure of a fuzzy system. 7 Basic structure of fuzzy systems. The knowledge base or fuzzy rule base contains a set of fuzzy IF–THEN rules and a database. The database is the declarative part of the knowledge base that describes the definition of the objects (facts, terms) and the definition of the membership functions used in the fuzzy rules. The fuzzy rules are the procedural part of the knowledge base that contains information on how these objects can be used to infer conclusions.

7 shows the block diagram of the structure of a fuzzy system. 7 Basic structure of fuzzy systems. The knowledge base or fuzzy rule base contains a set of fuzzy IF–THEN rules and a database. The database is the declarative part of the knowledge base that describes the definition of the objects (facts, terms) and the definition of the membership functions used in the fuzzy rules. The fuzzy rules are the procedural part of the knowledge base that contains information on how these objects can be used to infer conclusions.

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Analysis and Synthesis of Fuzzy Control Systems: A Model-Based Approach by Gang Feng


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