Stability, robust stabilization and control of singular-impulsive systems via switching control

Yao, Jing; Guan, Zhi‐Hong; Chen, Guanrong; Ho, Daniel W. C.

doi:10.1016/j.sysconle.2006.05.002

Cited by 99 publications

(77 citation statements)

References 16 publications

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“…,̂= P 2 ,̂= ,̂= = R , and̂= R ; then (D.5) becomes (17). Hence if the conditions (16) and (17) hold, nonlinear impulsive switched system (19) is stable and guarantees the − performance, which completes the proof.…”

Section: Proof Of Lemma 10mentioning

confidence: 63%

“…Then, according to Lemma 8, if the conditions (16), (17) hold, the switched system (11) is asymptotically stable with a weighted 2 performance for any switching signal satisfying (14), which completes the proof.…”

Section: B Proof Of Theoremmentioning

confidence: 64%

“…This kind of impulses will cause instability and oscillations and lead to poor performance. Recently, a number of papers have focused on stability problem of the impulsive switched systems [17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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Section: Proof Of Lemma 10mentioning

confidence: 63%

Section: B Proof Of Theoremmentioning

confidence: 64%

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Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems

Jia

Song

2015

Abstract and Applied Analysis

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“…In [24,27], the authors discussed linear impulsive switched systems with linear impulsive increments. In [23], Xu and Teo considered a general class of nonlinear impulsive switched systems with nonlinear impulsive increments and presented some sufficient conditions for exponentially stability.…”

Section: Introductionmentioning

confidence: 99%

Stability analysis for a class of nonlinear impulsive switched systems

Feng¹,

Zou²,

Tu³

2017

J. Nonlinear Sci. Appl.

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“…The problem of stability analysis and controller design for singular systems has achieved many valuable results (see, e.g., [1][2][3][4][5][6][7] and references therein). The related problem of robust H ∞ static output-feedback control for singularly perturbed systems has been addressed in [1]; also the stability, robust stabilization, and H ∞ control of singular systems with impulsive behavior have been studied in [2]; the problem of observer-based resilient 2 -∞ control for singular systems with time-delay has been investigated in [3]; the work in [4] considered the problem of designing stabilizing controllers for singularly perturbed fuzzy systems; by using a new type generalized Lyapunov equation, some new stability conditions for discrete singular systems have been derived in [5]; and [6] investigated the problem state feedback control for uncertain singular systems with timedelay. Due to the fact that the state variables of system are not always available, the problem of state estimation for singular systems has also received considerable attention (see, e.g., [7][8][9][10][11][12][13][14][15][16][17] and references therein).…”

Section: Introductionmentioning

confidence: 99%

H∞ Filtering for Discrete-Time Nonlinear Singular Systems with Quantization

Yang

Li²,

Chang

2017

Mathematical Problems in Engineering

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This paper investigates the problem of H ∞ filtering for class discrete-time Lipschitz nonlinear singular systems with measurement quantization. Assume that the system measurement output is quantized by a static, memoryless, and logarithmic quantizer before it is transmitted to the filter, while the quantizer errors can be treated as sector-bound uncertainties. The attention of this paper is focused on the design of a nonlinear quantized H ∞ filter to mitigate quantization effects and ensure that the filtering error system is admissible (asymptotically stable, regular, and causal), while having a unique solution with a prescribed H ∞ noise attenuation level. By introducing some slack variables and using the Lyapunov stability theory, some sufficient conditions for the existence of the nonlinear quantized H ∞ filter are expressed in terms of linear matrix inequalities (LMIs). Finally, a numerical example is presented to demonstrate the effectiveness of the proposed quantized filter design method.

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Stability, robust stabilization and control of singular-impulsive systems via switching control

Cited by 99 publications

References 16 publications

Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems

Fault Detection for Discrete-Time Nonlinear Impulsive Switched Systems

Stability analysis for a class of nonlinear impulsive switched systems

H∞ Filtering for Discrete-Time Nonlinear Singular Systems with Quantization

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