Robust &lt;i&gt;H&lt;/i&gt;&lt;sub&gt;&amp;#x221e;&lt;/sub&gt; Fuzzy Control Design for Nonlinear Two-Time Scale System with Markovian Jumps based on LMI Approach

Wudhichai Assawinchaichote,Non-Members Non-members,Sing Kiong

doi:10.5772/8230

Robust <i>H</i><sub>&#x221e;</sub> Fuzzy Control Design for Nonlinear Two-Time Scale System with Markovian Jumps based on LMI Approach

Wudhichai Assawinchaichote, Non-Members Non-members + Show 1 more

Open Access

https://doi.org/10.5772/8230

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Publication Date: Oct 1, 2009
Citations: 6	License type: cc-by-nc-sa

#Linear Matrix Inequality Approach #Markovian Jumps + Show 8 more

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Abstract

This paper examines the problem of designing a robust H1 state-feedback controller for a class of nonlinear two-time scale systems with Markovian Jumps described by a Takagi-Sugeno (TS) fuzzy model. Based on a linear matrix inequality (LMI) approach, LMI-based sufficient conditions for the uncertain Markovian jump nonlinear two-time scale systems to have an H1 performance are derived. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied not only to standard, but also to nonstandard nonlinear two-time scale systems. A numerical example is provided to illustrate the design developed in this paper. Keywords—TS fuzzy, Markovian jumps, LMI, Two-time scale systems.

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