Search

This paper studies the resilient fault detection observer (FDO) design problem for a class of T–S (Takagi–Sugeno) fuzzy Markovian jumping systems (MJSs) with mode-dependent time-varying delays. Based on the T–S fuzzy models, the dynamics of mode-dependent resilient FDO and the overall T–S fuzzy dynamic MJSs are constructed. By selected the appropriate Lyapunov–Krasovskii functional, a sufficient condition is obtained to guarantee the stochastic stability of the overall T–S fuzzy dynamic MJSs. Meanwhile, taking into account the robustness against unknown disturbances while guaranteeing the sensitivity to faults, the H ∞ performance index is proposed to minimize the influences of the unknown disturbances and the H − performance index is introduced to enhance the sensitivity to faults. By means of linear matrix inequalities (LMIs) techniques, the sufficient condition on the existence of the resilient FDO are respectively presented and proved. And the designed problem is then formulated as a two-objective optimization algorithm. A numerical simulation is given at last to illustrate that the proposed resilient FDO can detect the faults shortly after the occurrences without any false alarm. [ABSTRACT FROM AUTHOR]

Abstract: This paper studies the optimal finite-time passive control problem for a class of uncertain nonlinear Markovian jumping systems (MJSs). The Takagi and Sugeno (T–S) fuzzy model is employed to represent the nonlinear system with Markovian jump parameters and norm-bounded uncertainties. By selecting an appropriate Lyapunov-Krasovskii functional, it gives a sufficient condition for the existence of finite-time passive controller such that the uncertain nonlinear MJSs is stochastically finite-time bounded for all admissible uncertainties and satisfies the given passive control index in a finite time-interval. The sufficient condition on the existence of optimal finite-time fuzzy passive controller is formulated in the form of linear matrix inequalities and the designed algorithm is described as an optimization one. A numerical example is given at last to illustrate the effectiveness of the proposed design approach. [Copyright &y& Elsevier]

The finite-time positiveness and distributed control problem is studied for a class of Lipschitz nonlinear multi-agent systems. The objective is to design a suitable distributed controller which makes the closed-loop multi-agent systems be positive and finite-time stabilizable and satisfy the given H ∞ performance index. Sufficient conditions are initially established on the existence of the finite-time distributed controller by using proper multiple Lyapunov functions and the design criteria are presented in the form of linear matrix inequalities. Finally, an example of multi-agent systems with six agents is presented to illustrate the feasibility and validity of the proposed methods. [ABSTRACT FROM AUTHOR]

This study addresses the dynamic-memory-based event-triggered H ∞ control problem for Markov jump networked systems under denial-of-service attacks. By utilizing a unified approach, the characteristics of denial-of-service attacks are comprehensively captured and incorporate constraints on attack duration. Striking a balance between system performance and triggering frequency, we propose an enhanced dynamic-memory-based event-triggered mechanism. The incorporation of multiple Lyapunov functions establishes robust constraints, ensuring asymptotic mean-square stability and H ∞ noise attenuation performance for closed-loop Markov jump networked systems. Simulation results using an unmanned aerial vehicle model show that the proposed controller is effective against denial-of-service attacks, and the performance is significantly improved compared to the other two research results. • Dynamic-memory based event-triggered mechanism conserves communication resources. • Introduction of auxiliary dynamic variables enables to adapt to system variations. • Uniform upper and lower bounds method enhances accuracy in describing DoS attacks. • Sufficient conditions derived for MJNSs ensure stable with H ∞ performance. [ABSTRACT FROM AUTHOR]