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1.
In this note is proposed an analogue for linear delay systems of the characterization of asymptotic stability of the rational systems by the solvability of associated Lyapunov equation. It is shown that strong delay-independent stability of delay system is equivalent to the feasibility of certain linear matrix inequality (LMI), related to quadratic Lyapunov–Krasovskii functionals. 相似文献
2.
Chun-xia Dou Qing-quan Jia Shi-jiu Jin Zhi-qian Bo 《International Journal of Electrical Power & Energy Systems》2007,29(10):775-782
Recent stabilizer design using wide-area measurement systems (WAMS) signals has been suggested to enhance the dynamic performance of large interconnected power systems. However, there is an unavoidable delay involved before these signals are received at the stabilizer site. Long time-delay may be detrimental to system stability and may degrade system performance. Therefore, the delay-independent robust control problem of large interconnected power systems based on WAMS is studied via H∞ fuzzy control method. First, a set of equivalent Takagi–Sugeno (T–S) fuzzy model is employed to represent the large interconnected power systems. A wide-area state feedback decentralized control scheme is developed to stabilize the T–S fuzzy systems without any wide-area signals delay information such that the H∞ performance is achieved. The H∞ fuzzy robust control design problem is parameterized in terms of a linear matrix inequality (LMI) problem, and the LMI problem can be solved very efficiently using the convex optimization techniques. Finally, the performance of the robust control is studied using a fourteen-machine interconnected power system example. 相似文献
3.
The stability of a linear oscillator with delayed state feedback driven by parametric Gaussian white noise is studied in this paper. The first and second order moment equations of the system response are derived by using moment method and Itô differential rule. Based on the moment equations, the delay-independent stable conditions of both moments are proposed: For the first order moment, the sufficient and necessary condition that guarantee delay-independent stability is identified to that of the deterministic system; for the second order moment, the sufficient condition that ensure delay-independent stability depends on noise intensity. The theoretical results are also illustrated with numerical simulations. 相似文献
4.
A distributed controller approach for delay-independent stability of networked control systems 总被引:2,自引:0,他引:2
This article introduces a novel distributed controller approach for networked control systems (NCS) to achieve finite gain L2 stability independent of constant time delay. The proposed approach represents a generalization of the well-known scattering transformation which applies for passive systems only. The main results of this article are (a) a sufficient stability condition for general multi-input-multi-output (MIMO) input-feedforward-output-feedback-passive (IF-OFP) nonlinear systems and (b) a necessary and sufficient stability condition for linear time-invariant (LTI) single-input-single-output (SISO) systems. The performance advantages of the proposed approach are reduced sensitivity to time delay and improved steady state error compared to alternative known delay-independent small gain type approaches. Simulations validate the proposed approach. 相似文献
5.
This paper concerns the observer-based adaptive control problem of uncertain time-delay switched systems with stuck actuator faults. Under the case where the original controller cannot stabilize the faulty system, multiple adaptive controllers are designed and a suitable switching logic is incorporated to ensure the closed-loop system stability and state tracking. New delay-independent sufficient conditions for asymptotic stability are obtained in terms of linear matrix inequalities based on piecewise Lyapunov stability theory. On the other hand, adaptive laws for on-line updating of some of the controller parameters are also designed to compensate the effect of stuck failures. Finally, simulation results for reference [1] model show that the design is feasible and efficient. 相似文献
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This paper investigates a fault detection and accommodation (FDA) problem of a class of nonlinear time-delay systems in the presence of unknown multiple time-delayed faults. Compared with existing literature, a main contribution of this paper is to design a time-delay independent FDA scheme, namely, the exact information on time delays is not required to implement the proposed FDA scheme. Under the assumption that the magnitude and occurrence time of multiple faults are unknown, we first design a delay-independent fault detection scheme with a detection threshold for time-delay systems and analyze the fault detectability. Then, an approximation-based fault accommodation design activated after the detection of the first fault is presented for compensating multiple faults. The robustness of the fault detection scheme and asymptotic stability of the tracking error are established through Lyapunov stability analysis. A simulation example is used to illustrate the proposed FDA scheme. 相似文献
8.
In this paper, we deal with delay-independent and delay-dependent H
∞ filtering problems for a class of two-dimensional (2-D) discrete time-invariant systems with state delays. The 2-D systems
are described by local state-space (LSS) Fornasini–Marchesini (FM) second model. First, delay-dependent bounded real lemma
is proposed through introducing free weighting matrices. Then the delay-independent and delay-dependent H
∞ filtering designs are developed to assure the stability and H
∞ performance γ of filtering error systems via LMIs’ feasibility. Furthermore, the minimum H
∞ norm bound γ can be obtained by solving linear convex optimization problems. Numerical examples demonstrate the effectiveness and advantages
of our results.
相似文献
Xinping GuanEmail: |
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10.
This paper analyzes the eigenvalue distribution of neutral differential systems and the corresponding difference systems, and establishes the relationship between the eigenvalue distribution and delay-independent stability of neutral differential systems. By using the “Complete Discrimination System for Polynomials”, easily testable necessary and sufficient algebraic criteria for delay-independent stability of a class of neutral differential systems are established. The algebraic criteria generalize and unify the relevant results in the literature. Moreover, the maximal delay bound guaranteeing stability can be determined if the systems are not delay-independent stable. Some numerical examples are provided to illustrate the effectiveness of our results. 相似文献