Analysis and Synthesis of Fuzzy Control Systems: A by Gang Feng

By Gang Feng

Fuzzy common sense keep watch over (FLC) has confirmed to be a favored keep an eye on technique for lots of complicated structures in undefined, and is frequently used with nice luck as a substitute to traditional keep watch over recommendations. even if, since it is essentially version unfastened, traditional FLC suffers from a scarcity of instruments for systematic balance research and controller layout. to deal with this challenge, many model-based fuzzy keep an eye on ways were constructed, with the bushy dynamic version or the Takagi and Sugeno (T–S) fuzzy model-based ways receiving the best consciousness.

Analysis and Synthesis of Fuzzy keep an eye on structures: A Model-Based Approach bargains a special reference dedicated to the systematic research and synthesis of model-based fuzzy keep an eye on platforms. After giving a short evaluation of the types of FLC, together with the T–S fuzzy model-based keep an eye on, it totally explains the elemental strategies of fuzzy units, fuzzy good judgment, and fuzzy structures. this allows the publication to be self-contained and gives a foundation for later chapters, which cover:

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

A reference for scientists and engineers in platforms and keep an eye on, the publication additionally serves the desires of graduate scholars exploring fuzzy common sense keep watch over. It quite simply demonstrates that traditional regulate know-how and fuzzy common sense keep watch over should be elegantly mixed and extra constructed in order that dangers of traditional FLC should be kept away from and the horizon of traditional keep watch over expertise enormously prolonged. Many chapters function program simulation examples and useful numerical examples in line with MATLAB®.

Show description

Read Online or Download Analysis and Synthesis of Fuzzy Control Systems: A Model-Based Approach PDF

Best control systems books

Nonlinear Control and power system dynamics

Nonlinear regulate platforms and tool process Dynamics offers a accomplished description of nonlinear regulate of electrical strength structures utilizing nonlinear regulate idea, that is constructed by means of the differential geometric technique and nonlinear strong regulate process. This booklet explains intimately the thoughts, theorems and algorithms in nonlinear regulate thought, illustrated by way of step by step examples.

Manufacturing Systems Control Design: A Matrix-based Approach (Advances in Industrial Control)

This booklet covers the entire steps from id of operations and assets to the transformation of digital versions into real-world algorithms. The matrix-based method provided here's a technique to the real-time software of keep watch over in discrete occasion structures and versatile production structures (FMS), and gives a valid sensible foundation for the layout of controllers for production platforms.

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

Fuzzy common sense keep watch over (FLC) has confirmed to be a favored keep an eye on method for plenty of advanced platforms in undefined, and is usually used with nice good fortune instead to traditional keep watch over thoughts. in spite of the fact that, since it is essentially version loose, traditional FLC suffers from an absence of instruments for systematic balance research and controller layout.

Stability of Time-Variant Discrete-Time Systems

During this monograph a few balance houses of linear, time-variant, discrete-time structures are summarized, the place a few houses are renowned, a few are little-known proof, and some could be new. versions for this treatise an the asymp totical behaviour of strategies of distinction equations are the generally identified first-class books of CESARI [3] and CONTI [5].

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

Sample text

Specifically, we can adjust c and a to vary the center and width of the membership function, and then use b to control the slopes at the crossover points. 2 illustrates the physical meanings of each parameter in a bell-shaped membership function. 1 Examples of various classes of membership functions. 2 Physical meaning of parameters in a generalized bell-shaped function. It should be noted that the list of membership functions described above is by no means exhaustive. Many other membership functions can be created for specific applications.

40) requires the distance from the feature vectors to the prototypes to be as small as possible, which corresponds to the fuzzy input space partition. 40) requires this input space partition to be an optimal partition such that the estimation errors between the output of the fuzzy system and the local linear models are minimized. 40) can be considered as a kind of dynamic behavior clustering algorithm. 40) with respect to µ , z , α, respectively, one has the following result. 42c) l = 1, 2, , m, where Φ = [φ(1) φ(2) … φ(N)]T, Y = [y(1) y(2) … y(N)]T, Dl = diag[μl(t)]N × N.

32). The next task is to determine the fuzzy membership functions for fuzzy sets around those operating points or in the so-called local regions. The ideal choice is to select the membership functions μl (x, u), l = 1, 2, …, m, such that the following modeling error is minimized. m E= ∑ µ (x, u)( A x + B u + a ) − f (x, u) . 33) l l =1 In general, this is a nonlinear optimization problem that is difficult to solve. However, in many applications, some simple and typical membership functions, such as triangular, trapezoid, and Gaussian functions, can be utilized.

Download PDF sample

Rated 4.87 of 5 – based on 32 votes
 

Author: admin