Robust Fault Detection of Uncertain Lipschitz Nonlinear Systems with Simultaneous Disturbance Attenuation Level and Enhanced Fault Sensitivity and Lipschitz Constant

2018 ◽  
Vol 37 (10) ◽  
pp. 4256-4278 ◽  
Author(s):  
Mohammad Ghasem Kazemi ◽  
Mohsen Montazeri
Keyword(s):  
Nonlinear Systems ◽  
Fault Detection ◽  
Lipschitz Constant ◽  
Disturbance Attenuation ◽  
Lipschitz Nonlinear Systems ◽  
Fault Sensitivity ◽  
Robust Fault Detection ◽  
Attenuation Level ◽  
Disturbance Attenuation Level

scholarly journals A New Hybrid Robust Fault Detection of Switching Systems by Combination of Observer and Bond Graph Method

2018 ◽  
Vol 8 (4) ◽  
pp. 2157
Author(s):  
Mohammad Ghasem Kazemi ◽  
Mohsen Montazeri
Keyword(s):  
Fault Detection ◽  
Hybrid Approach ◽  
Bond Graph ◽  
Disturbance Attenuation ◽  
Parametric Uncertainties ◽  
Fault Sensitivity ◽  
Robust Fault Detection ◽  
Attenuation Level ◽  
Analytical Redundancy ◽  
Disturbance Attenuation Level

<p>In this paper, the problem of robust Fault Detection (FD) for continuous time switched system is tackled using a hybrid approach by combination of a switching observer and Bond Graph (BG) method. The main criteria of an FD system including the fault sensitivity and disturbance attenuation level in the presence of parametric uncertainties are considered in the proposed FD system. In the first stage, an optimal switching observer based on state space representation of the BG model is designed in which simultaneous fault sensitivity and disturbance attenuation level are satisfied using H􀀀=H1 index. In the second stage, the Global Analytical Redundancy Relations (GARRs) of the switching system are derived based on the output estimation error of the observer, which is called Error-based Global Analytical Redundancy Relations (EGARRs). The parametric uncertainties are included in the EGARRs, which define the adaptive thresholds on the residuals. A constant term due to the effect of disturbance is also considered in the thresholds. In fact, a two-stage FD system is proposed wherein some criteria may be considered in each stage. The efficiency of the proposed method is shown for a two-tank system.</p>

scholarly journals H∞Filtering for a Class of Piecewise Homogeneous Markovian Jump Nonlinear Systems

2012 ◽  
Vol 2012 ◽  
pp. 1-23 ◽  
Author(s):  
Yucai Ding ◽  
Hong Zhu ◽  
Shouming Zhong ◽  
Yuping Zhang ◽  
Yong Zeng
Keyword(s):  
Nonlinear Systems ◽  
Sufficient Conditions ◽  
Disturbance Attenuation ◽  
Linear Matrix ◽  
Markovian Jump ◽  
Attenuation Level ◽  
Stochastically Stable ◽  
Error System ◽  
Disturbance Attenuation Level ◽  
Filtering Problem

H∞filtering problem for a class of piecewise homogeneous Markovian jump nonlinear systems is investigated. The aim of this paper is to design a mode-dependent filter such that the filtering error system is stochastically stable and satisfies a prescribedH∞disturbance attenuation level. By using a new mode-dependent Lyapunov-Krasovskii functional, mixed mode-dependent sufficient conditions on stochastic stability are formulated in terms of linear matrix inequalities (LMIs). Based on this, the mode-dependent filter is obtained. A numerical example is given to illustrate the effectiveness of the proposed main results.

Design of observer-based quantized control for nonlinear time-delay systems

2018 ◽  
Vol 40 (15) ◽  
pp. 4220-4232 ◽  
Author(s):  
Ning Sun ◽  
Yingchao Zhang ◽  
Gongfei Song ◽  
Tao Li
Keyword(s):  
Lipschitz Constant ◽  
Observer Design ◽  
Disturbance Attenuation ◽  
Delay Systems ◽  
Time Varying Delay ◽  
Quantized Control ◽  
Attenuation Level ◽  
Bounded Disturbances ◽  
Disturbance Attenuation Level ◽  
Varying Delay

This paper is concerned with the problem of observer design for a class of nonlinear systems with time-varying delay and bounded disturbances. For the stabilization problem, attention is focused on the design of a quantized observer that ensures stability of the closed-loop system. For the robust H∞ control problem, a quantized observer is designed such that, in addition to the requirement of the robust stability, a prescribed disturbance attenuation level also needs to be achieved. The nonlinearity is assumed to satisfy the local Lipschitz condition. A more general case is considered, differing from the previous results where the Lipschitz constant is fixed and predetermined. Finally, a numerical example is provided to show the effectiveness of our method.

Dual-finite distributed H∞ filtering in sensor networks

2021 ◽  
pp. 095965182199758
Author(s):  
Changshuo Wang ◽  
Jiwei Wen ◽  
Xiaoli Luan
Keyword(s):  
Sensor Networks ◽  
Disturbance Attenuation ◽  
Time Interval ◽  
Frequency Range ◽  
Frequency Scale ◽  
Attenuation Level ◽  
Exogenous Noise ◽  
Disturbance Attenuation Level ◽  
Reference Input ◽  
Filtering Approach

Generally, distributed H∞ filtering approach achieves a certain disturbance attenuation level in the full frequency range. However, the energy of system noise or reference input usually limits in a specified frequency range. To reduce such a design conservatism, this article develops a distributed filtering approach based on dual scale, that is, filtering over a finite-time interval from time scale and also on a specified finite-frequency region from the frequency scale. Our target is to make the filtering error under sensor networks monitoring be relaxed into an ellipsoid bound rather than asymptotically converging to zero for exogenous noise in a specified frequency range. Finally, two illustrative examples demonstrate the strength of the developed filtering approach.

scholarly journals NonlinearL2-Gain Analysis of Hybrid Systems in the Presence of Sliding Modes and Impacts

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
T. Osuna ◽  
O. E. Montano ◽  
Y. Orlov
Keyword(s):  
Sliding Mode ◽  
Numerical Study ◽  
Sufficient Conditions ◽  
Disturbance Attenuation ◽  
Sliding Modes ◽  
Time Dynamics ◽  
Attenuation Level ◽  
Disturbance Factor ◽  
Disturbance Attenuation Level ◽  
The Impact

TheL2-gain analysis is extended towards hybrid mechanical systems, operating under unilateral constraints and admitting both sliding modes and collision phenomena. Sufficient conditions for such a system to be internally asymptotically stable and to possessL2-gain less than ana priorigiven disturbance attenuation level are derived in terms of two independent inequalities which are imposed on continuous-time dynamics and on discrete disturbance factor that occurs at the collision time instants. The former inequality may be viewed as the Hamilton-Jacobi inequality for discontinuous vector fields, and it is separately specified beyond and along sliding modes, which occur in the system between collisions. Thus interpreted, the former inequality should impose the desired integral input-to-state stability (iISS) property on the Filippov dynamics between collisions whereas the latter inequality is invoked to ensure that the impact dynamics (when the state trajectory hits the unilateral constraint) are input-to-state stable (ISS). These inequalities, being coupled together, form the constructive procedure, effectiveness of which is supported by the numerical study made for an impacting double integrator, driven by a sliding mode controller. Desired disturbance attenuation level is shown to satisfactorily be achieved under external disturbances during the collision-free phase and in the presence of uncertainties in the transition phase.

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