Multiple Models Approach in Automation: Takagi-Sugeno Fuzzy Systems (Hardcover)

Mohammed Chadli, Pierre Borne

  • 出版商: Wiley
  • 出版日期: 2012-11-19
  • 定價: $4,690
  • 售價: 9.5$4,456
  • 語言: 英文
  • 頁數: 256
  • 裝訂: Hardcover
  • ISBN: 184821412X
  • ISBN-13: 9781848214125
  • 立即出貨 (庫存 < 3)

商品描述

Much work on analysis and synthesis problems relating to the multiple model approach has already been undertaken. This has been motivated by the desire to establish the problems of control law synthesis and full state estimation in numerical terms.
In recent years, a general approach based on multiple LTI models (linear or affine) around various function points has been proposed. This so-called multiple model approach is a convex polytopic representation, which can be obtained either directly from a nonlinear mathematical model, through mathematical transformation or through linearization around various function points.
This book concentrates on the analysis of the stability and synthesis of control laws and observations for multiple models. The authors’ approach is essentially based on Lyapunov’s second method and LMI formulation. Uncertain multiple models with unknown inputs are studied and quadratic and non-quadratic Lyapunov functions are also considered.

商品描述(中文翻譯)

已經進行了許多與多模型方法相關的分析和綜合問題的工作。這是出於希望能以數值方式確定控制法則綜合和完整狀態估計的問題的動機。
近年來,提出了一種基於多個線性或仿射LTI模型的通用方法,該方法圍繞各種功能點。這種所謂的多模型方法是一種凸多面體表示,可以通過直接從非線性數學模型、通過數學轉換或通過各種功能點的線性化獲得。
本書專注於多模型的穩定性分析和控制法則和觀測的綜合。作者的方法主要基於李亞普諾夫第二方法和LMI公式。研究了具有未知輸入的不確定多模型,並且還考慮了二次和非二次李亞普諾夫函數。