Robust H&lt;inf&gt;&amp;#x221E;&lt;/inf&gt; fuzzy observer for a class of time-delay discrete fuzzy bilinear systems with parameter uncertainties

Tsai, Shun-Hung; Chen, Ta-Tau; Hsiao, Ming-Ying; Chen, Chin‐Sheng

doi:10.1109/fuzzy.2011.6007338

Cited by 2 publications

(1 citation statement)

References 21 publications

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“…A state observer of full order for continuous T-S fuzzy bilinear systems have been studied in [15]. Based on CQLF and make the gain K is known, the paper of [16] studied the robust H ∞ fuzzy linear observer for a discrete fuzzy bilinear systems. Based on PQLF, the observer-based fuzzy controller for fuzzy bilinear model has been studied in [17][18].…”

Section: Introductionmentioning

confidence: 99%

Observer-based fuzzy control design for discrete-time T-S fuzzy bilinear stochastic systems with infinite-distributed delays

2013

2013 9th Asian Control Conference (ASCC)

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This paper is concerned with the problem of observer-based fuzzy control design for discrete-time T-S fuzzy bilinear stochastic systems with infinite-distributed delays. Based on the piecewise quadratic Lyapunov functional (PQLF), the fuzzy observer-based controllers are designed for T-S fuzzy bilinear stochastic systems. It is shown that the stability in the mean square for discrete T-S fuzzy bilinear stochastic systems can be established if there exists a set of PQLF which can be constructed and the fuzzy observer-based controller can be obtained by solving a set of nonlinear minimization problem involving linear matrix inequalities(LMIs) constraints. An iterative algorithm makes use of sequential linear programming matrix method (SLPMM) to derive a single-step LMI condition for fuzzy observer-based control design. Finally, an illustrative example is provided to demonstrate the effectiveness of the results proposed in this paper.

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Section: Introductionmentioning

confidence: 99%

Observer-based fuzzy control design for discrete-time T-S fuzzy bilinear stochastic systems with infinite-distributed delays

2013

2013 9th Asian Control Conference (ASCC)

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Admissibility analysis for discrete-time bilinear singular systems using bilinear state-feedback controller

Shi

2018

2018 Chinese Control and Decision Conference (CCDC)

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Robust H<inf>∞</inf> fuzzy observer for a class of time-delay discrete fuzzy bilinear systems with parameter uncertainties

Cited by 2 publications

References 21 publications

Observer-based fuzzy control design for discrete-time T-S fuzzy bilinear stochastic systems with infinite-distributed delays

Observer-based fuzzy control design for discrete-time T-S fuzzy bilinear stochastic systems with infinite-distributed delays

Admissibility analysis for discrete-time bilinear singular systems using bilinear state-feedback controller

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