Robust H8 Fuzzy Control Design For Nonlinear Two-Time Scale System With Markovian Jumps Based On Lmi Approach

Wudhichai Assawinchaichote, Sing Kiong Nguang
2008 Zenodo  
This paper examines the problem of designing a robust H8 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 H8 performance are derived. The proposed approach does not involve the separation of states into slow and fast ones and it can be applied
more » ... t 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.
doi:10.5281/zenodo.1061480 fatcat:3e5k5zyiwjbwldmmacphmfsnui