Exponential stability of time-controlled switching systems with time delay

Li, Chuandong; Huang, Tingwen; Feng, Gang; Chen, Guanrong

doi:10.1016/j.jfranklin.2011.10.016

Cited by 18 publications

(9 citation statements)

References 36 publications

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“…For stabilizing a nonlinear system, many methods are studied, e.g., impulsive control methods [6]- [9], switching control methods [10]- [14], etc. Intermittent control methods [15]- [20] are special cases of switching control methods and have been studied by many researchers.…”

Section: Introductionmentioning

confidence: 99%

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Sandwich control systems

Feng

Huang

2015

2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)

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In this letter, we combine the continuous systems with the impulsive control systems. Thus we propose a new mathematic model, namely sandwich control system. The system is a cyclic control system and there is no "rest time" for the inputs. The first and last parts of the system's inputs are continuous and other's is impulsive for a period of the system. We study the stability of it by constructing a Lyapunov function and using some mathematical techniques we get an exponential stability criteria in terms of a set of linear matrix inequalities. By the use of the results in this paper, the Chua's oscillor is controlled.

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Section: Introductionmentioning

confidence: 99%

“…diag(−50, −40, −30), K 2 = diag(−10, −20, −10).With T = 10 and τ = 5 solving LMIs(14),(15) and inequality g 1 τ − g 2 (T − τ ) − ln λ > 0, we obtain a feasible solution: 1 = 2 = 0.5, g 1 = 21, g 2 = 20,…”

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confidence: 99%

Sandwich control systems

Feng

Huang

2015

2015 Sixth International Conference on Intelligent Control and Information Processing (ICICIP)

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“…The switching rule design is one of the key issues in the study of switched systems. Based on the switching rule design, many important problems, such as stability, model reduction, ∞ control or filtering problem, and tracking control, have been extensively investigated in [12][13][14][15][16][17][18][19][20][21][22]. For example, the problems of stability and stabilization of impulsive switched systems with time delays were considered in [12].…”

Section: Introductionmentioning

confidence: 99%

“…For example, the problems of stability and stabilization of impulsive switched systems with time delays were considered in [12]. The problems of finite-time stability analysis and stabilization for switched nonlinear discrete-time systems were addressed in [13]. The model reduction of switched systems was investigated in [14,15].…”

Section: Introductionmentioning

confidence: 99%

Robust Switching Rule Design for Boost Converters with Uncertain Parameters and Disturbances

Yang¹,

Karimi²,

Xiang³

2013

Abstract and Applied Analysis

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This paper is concerned with the design problem of robust switching rule for Boost converters with uncertain parameters and disturbances. Firstly, the Boost converter is modeled as a switched affine linear system with uncertain parameters and disturbances. Then, using common Lyapunov function approach and linear matrix inequality (LMI) technique, a novel switching rule is proposed such that the model reference tracking performance is satisfied. Finally, a simulation result is provided to show the validity of the proposed method.

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“…Some examples for switched systems are automated highway systems, automotive engine control system, chemical process, constrained robotics, power systems and power electronics, robot manufacture, and stepper motors . It is also well known that the existence of delay in a system may cause instability or bad www performance in closed control systems [2][3][4][5][6][7][8][9][10][11][12][13][14]17,18,23,24,[26][27][28]. Time-delay phenomena are usually encountered in many practical systems, such as AIDS epidemic, aircraft stabilization, chemical engineering systems, hydraulic systems, inferred grinding model, manual control, neural network, nuclear reactor, population dynamic model, rolling mill, ship stabilization, and systems with lossless transmission lines.…”

Section: Introductionmentioning

confidence: 99%