Relaxed dissipative control of nonhomogeneous Markovian jump fuzzy systems via stochastic nonquadratic stabilization approach

Based on the stochastic nonquadratic stabilization approach, this paper proposes a method for designing dissipative controllers for continuous-time nonhomogeneous Markovian jump fuzzy systems such that performance enhancement and computational complexity reduction are simultaneously accomplished. Fi...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear analysis. Hybrid systems Vol. 38; p. 100915
Main Authors: Nguyen, Thanh Binh, Kim, Sung Hyun
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.11.2020
Subjects:
Dissipative control
Nonhomogeneous Markovian jump fuzzy systems
Nonquadratic stabilization
Relaxation technique
Nonhomogeneous Markovian jump fuzzy systems
Dissipative control
Relaxation technique
Nonquadratic stabilization
ISSN:1751-570X
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Based on the stochastic nonquadratic stabilization approach, this paper proposes a method for designing dissipative controllers for continuous-time nonhomogeneous Markovian jump fuzzy systems such that performance enhancement and computational complexity reduction are simultaneously accomplished. First, the underlying stabilization conditions are formulated in terms of parameterized matrix inequalities depending on fuzzy basis functions, as well as on their time derivatives, and on mode-transition rates. Then, using our relaxation techniques that can impose stricter constraints on time-varying parameters, the stabilization conditions are converted into linear matrix inequalities (LMIs) that are less conservative and have lower computational complexity. The validity of this approach is shown by two illustrative examples.
ISSN:1751-570X
DOI:10.1016/j.nahs.2020.100915