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

By Gang Feng

Fuzzy common sense regulate (FLC) has confirmed to be a well-liked keep an eye on technique for plenty of advanced structures in undefined, and is usually used with nice luck as a substitute to traditional keep an eye on strategies. even if, since it is essentially version loose, traditional FLC suffers from an absence of instruments for systematic balance research and controller layout. to handle this challenge, many model-based fuzzy regulate methods were constructed, with the bushy dynamic version or the Takagi and Sugeno (T–S) fuzzy model-based methods receiving the best realization.

Analysis and Synthesis of Fuzzy keep watch over structures: A Model-Based Approach bargains a special reference dedicated to the systematic research and synthesis of model-based fuzzy keep watch over platforms. After giving a quick evaluation of the kinds of FLC, together with the T–S fuzzy model-based keep watch over, it totally explains the basic strategies of fuzzy units, fuzzy good judgment, and fuzzy structures. this permits the e-book to be self-contained and offers a foundation for later chapters, which cover:

  • T–S fuzzy modeling and id through nonlinear types or info
  • 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 an eye on of T–S fuzzy platforms

A reference for scientists and engineers in platforms and keep an eye on, the booklet additionally serves the desires of graduate scholars exploring fuzzy common sense keep an eye on. It easily demonstrates that traditional keep an eye on expertise and fuzzy good judgment keep an eye on might be elegantly mixed and additional constructed in order that negative aspects of traditional FLC may be kept away from and the horizon of traditional regulate know-how tremendously prolonged. Many chapters characteristic software simulation examples and useful numerical examples according to MATLAB®.

Show description

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

Best control systems books

System Identification with Quantized Observations

This publication provides lately constructed methodologies that make the most of quantized details in procedure identity and explores their power in extending keep an eye on services for structures with constrained sensor details or networked structures. the result of those methodologies should be utilized to sign processing and regulate layout of conversation and laptop networks, sensor networks, cellular brokers, coordinated information fusion, distant sensing, telemedicine, and different fields during which noise-corrupted quantized info must be processed.

Multi-Hierarchical Representation of Large-Scale Space: Applications to Mobile Robots

It's been said in psychology that human mind arranges details in a fashion that improves potency in acting universal initiatives, for instance, information regarding our spatial setting is very easily dependent for effective course discovering. nonetheless, in computational sciences, using hierarchical details is widely known for lowering the complexity of fixing difficulties.

Switched Time-Delay Systems: Stability and Control

Switched Time-Delay structures offers an introductory, but entire, therapy of switched time-delay platforms via together combining primary attributes: the procedure dynamics possesses an inherent time-delay and the approach operational mode undergoes switching between various modes. whereas each one characteristic has been tested separately in different texts, the combination of either attributes is sort of targeted and merits unique attention.

Fault Detection and Diagnosis in Engineering Systems

That includes a model-based method of fault detection and prognosis in engineering platforms, this ebook includes updated, functional info on fighting product deterioration, functionality degradation and significant equipment harm. ;College or college bookstores could order 5 or extra copies at a different pupil rate.

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

Example text

42b). The proof is thus completed. 2, the following algorithm can be proposed. Fuzzy Input Space Clustering Algorithm (FISCA) Step 1. Choose the weighting factors w1, w2, and ω, and pick a termination threshold ε > 0 and a set of initial membership functions µ (l 0 ) , l = 1, 2, m such that Σ lm=1µ l( 0 ) = 1. Step 2. 42) if I t = 0, Otherwise, choose µ (i k +1) (t ) = 0, ∀i ∈ It , and µ (i k +1) (t ), i ∈ I t such that ∑ i∈It µ (i k +1) (t ) = 1, where I t := {i | 1 ≤ i ≤ m; w1  z (t ) − zi 2 + w2 ||ei (t )||2 = 0}, It := {1, 2,, m} − I t .

In the subsequent discussion the following membership functions, which are TSLMFs, are considered.  µ l ( z , zl , σ l ) =   m ∑ j =1 −1 || z − zl ||σl   . 5) into a set of subregions. The number of subregions corresponds to the number of rules, the centers of the subregions correspond to the centers of the membership functions, and the degree of the overlap among the subregions corresponds to the decay factors of the membership functions. Using fuzzy clustering algorithms, one can obtain the number of rules and the centers and decay factors of the membership functions at the same time.

15) µ C ( x ) = µ A ( x ) ∨ µ B ( x ). 17) µ C ( x ) = µ A ( x ) ∧ µ B ( x ). 3 As pointed out by Zadeh (1965), a more intuitive and appealing definition of the union of fuzzy sets A and B is the smallest fuzzy set containing both A and B. Similarly, the intersection of fuzzy sets A and B is the largest fuzzy set that is contained in both A and B. 3 with an example of two fuzzy sets: (a) two fuzzy sets A and B, (b) the complement of A, (c) the union of A and B, and (d) the intersection of A and B.

Download PDF sample

Rated 4.87 of 5 – based on 37 votes