A geometric approach for reachability and observability of linear switched impulsive systems

Zhao, Shouwei

doi:10.1016/j.na.2010.01.052

Cited by 24 publications

(18 citation statements)

References 33 publications

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“…Hence if the conditions (15) hold, nonlinear impulsive switched system (4) is stable, and guarantees the H∞ performance (5), which completes the proof.…”

Section: Vj(x(t)) + αJ Vj(x(t)) + υ(T) Xmentioning

confidence: 57%

Fault Detection for a Class of Impulsive Switched Systems

Dai

et al. 2014

Int. J. Autom. Comput.

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Abstract:The problem of fault detection for a class of nonlinear impulsive switched systems is investigated in this paper. Fault detection filters are designed such that the augmented systems are stable, and the residual error signal generated by the filters guarantees the H∞ performance for disturbances and faults. Sufficient conditions for the design of fault detection (FD) filters are presented by linear matrix inequalities. Moreover, the filter gains are characterized according to a solution of a convex optimization. Finally, an example derived from a pulse-width-modulation-driven boost converter is given to illustrate the effectiveness of the FD design approach.

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“…Hence if the conditions (15) hold, nonlinear impulsive switched system (4) is stable, and guarantees the H∞ performance (5), which completes the proof.…”

Section: Vj(x(t)) + αJ Vj(x(t)) + υ(T) Xmentioning

confidence: 57%

Fault Detection for a Class of Impulsive Switched Systems

Dai

et al. 2014

Int. J. Autom. Comput.

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“…Let Assumptions 1-3 hold, L is the gain defined in Lemma 2, and K I ; K C satisfy (18). Suppose that gain function C is defined as (19) and k 1 .…”

Section: Corollarymentioning

confidence: 99%

“…In [16], using input to state stability methods, a fault tolerant control law for impulsive systems is provided such that states of the closed loop system remain bounded. In [17] and [18], the reachability and observability of linear impulsive systems are investigated, and sufficient and necessary conditions are given.…”

Section: Introductionmentioning

confidence: 99%

Fault detection and approximation for a class of linear impulsive systems using sliding‐mode observer

Ayati

Salmasi

2015

Adaptive Control & Signal

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The objective of this paper is to develop a method for fault detection and approximation of linear impulsive systems exposed to actuator faults. Utilizing proposed sliding mode observer, states of the impulsive system are estimated. It is proved that estimation error dynamical system is asymptotically stable between jumps. In addition, an upper bound of the state estimation errors at jump instants has been derived explicitly. State estimations are used to reconstruct the fault signal. Furthermore, an upper bound of the fault estimation errors is obtained. Proficiency of the proposed method is evaluated under different fault scenarios using numerical simulations.

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“…then discrete-time nonlinear impulsive switched system (19) is asymptotically stable for any switching signal satisfying (14) and guarantees − performance:…”

Section: The Fault Sensitiveness Performance (8)mentioning

confidence: 99%

Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems

Jia

Song

2015

Abstract and Applied Analysis

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This paper investigates the fault detection problem for discrete-time nonlinear impulsive switched systems. Attention is focused on designing the fault detection filters to guarantee the robust performance and the detection performance. Based on these performances, sufficient conditions for the existence of filters are given in the framework of linear matrix inequality; furthermore, the filter gains are characterized by a convex optimization problem. The presented technique is validated by an example. Simulation results indicate that the proposed method can effectively detect the faults.

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A geometric approach for reachability and observability of linear switched impulsive systems

Cited by 24 publications

References 33 publications

Fault Detection for a Class of Impulsive Switched Systems

Fault Detection for a Class of Impulsive Switched Systems

Fault detection and approximation for a class of linear impulsive systems using sliding‐mode observer

Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems

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