Eigenvalue Based Approach for Assessment of Global Robustness of Nonlinear Dynamical Systems

Vrabel, Robert

doi:10.3390/sym11040569

Cited by 1 publication

(2 citation statements)

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“…Proof. Choose the Lyapunov-Krasovskii functional candidate (11) again for the resulting closed-loop T-S fuzzy time-delay system (5). From the proof of Theorem 1, we obtain the inequality (22):…”

Section: Controller Designmentioning

confidence: 99%

“…During the past several decades, the control problem of nonlinear systems has attracted considerable attention [1][2][3][4][5][6] as various practical systems are essentially nonlinear and cannot be easily simplified into a linear model. Up to now, many fuzzy logic control approaches have been proposed for the control problem of nonlinear systems.…”

Section: Introductionmentioning

confidence: 99%

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Finite-Time Control for Nonlinear Systems with Time-Varying Delay and Exogenous Disturbance

Ruan

Huang

2020

Symmetry

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This paper is concerned with the problem of finite-time control for nonlinear systems with time-varying delay and exogenous disturbance, which can be represented by a Takagi–Sugeno (T-S) fuzzy model. First, by constructing a novel augmented Lyapunov–Krasovskii functional involving several symmetric positive definite matrices, a new delay-dependent finite-time boundedness criterion is established for the considered T-S fuzzy time-delay system by employing an improved reciprocally convex combination inequality. Then, a memory state feedback controller is designed to guarantee the finite-time boundness of the closed-loop T-S fuzzy time-delay system, which is in the framework of linear matrix inequalities (LMIs). Finally, the effectiveness and merits of the proposed results are shown by a numerical example.

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Section: Controller Designmentioning

confidence: 99%