Memory dissipative control for singular T–S fuzzy time-varying delay systems under actuator saturation

Ma, Yuechao; Chen, Menghua; Zhang, Qingling

doi:10.1016/j.jfranklin.2015.05.030

Cited by 49 publications

(30 citation statements)

References 36 publications

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“…Consequently, the study of control systems with actuator saturation is challenging not only theory and research value, but also in practice has important research significance and broad application prospects. Recently, Ma and Chen [45] presented singular T-S fuzzy time-varying delay systems with actuator saturation for the problem of memory dissipative control. In [46], the author talked about passive control problem for singular time-delay systems with nonlinearity and actuator saturation.…”

Section: Introductionmentioning

confidence: 99%

Finite‐Time H_∞ Filtering for Discrete‐Time Singular Markovian Jump Systems with Time Delay and Input Saturation

Guan

2019

Complexity

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The paper is discussed with the problem of finite-time H∞ filtering for discrete-time singular Markovian jump systems (SMJSs). The systems under consideration consist of time-varying delay, actuator saturation and partly unknown transition probabilities. We pay attention to the design of a H∞ filtering which ensures the filtering error systems to be singular stochastic finite-time boundedness. By employing an adequate stochastic Lyapunov functional together with a class of linear matrix inequalities (LMIs), a sufficient condition is firstly established, which guarantees the systems to achieve our goal and satisfy a prescribed H∞ attenuation level in the given finite-time interval. Considering the above conditions, a distinct presentation for the requested H∞ filter is given. Finally, two numerical examples add to a dynamical Leontief model of economic systems are presented to illustrate the validity of the developed theoretical results.

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Section: Introductionmentioning

confidence: 99%

Finite‐Time H_∞ Filtering for Discrete‐Time Singular Markovian Jump Systems with Time Delay and Input Saturation

Guan

2019

Complexity

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“…Singular systems (also referred to descriptor systems and differential‐algebraic systems) can describe the dynamics of many practical systems such as power systems, economical systems, robotic systems, chemical processes, etc . Stability and stabilization problems for singular systems have been wildly investigated in other works . The prescribed control system was treated as two parts: differential equation part, which can express dynamic properties of the system, and algebraic equation part, which can describe interconnection properties of the system.…”

Section: Introductionmentioning

confidence: 99%

“…[12][13][14] Stability and stabilization problems for singular systems have been wildly investigated in other works. [15][16][17][18][19] The prescribed control system was treated as two parts: differential equation part, which can express dynamic properties of the system, and algebraic equation part, which can describe interconnection properties of the system. These special characteristics may result in irregularity, impulses, and noncausality.…”

Section: Introductionmentioning

confidence: 99%

Reliable finite‐time H_∞ control for singular Markovian jump system with actuator saturation via sliding‐mode approach

Liu

et al. 2018

Intl J Robust & Nonlinear

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Summary This paper explores the finite‐time H∞ control problem for singular stochastic systems with actuator saturation and time‐varying state delay through the sliding‐mode approach. Time delay is a kind of positive differentiable bounded delay. A novel suitable switching function and a suitable sliding‐mode control law are given to guarantee that the closed‐loop actuator saturating system is singular stochastic H∞ finite‐time boundedness on the specified sliding surface. Sensor failures are taken into consideration for the error system, and sufficient criteria are provided to ensure the error system is singular stochastic finite‐time boundedness. The gain matrices of sliding‐mode controller and state observer are obtained by solving the corresponding linear matrix inequalities. Finally, simulation examples are given to illustrate the proposed method.

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“…In Ma et al. (2015), a delay-central-point method was presented to develop less conservative delay-dependent conditions for memory dissipative control for fuzzy singular time-varying delay systems under actuator saturation.…”

Section: Introductionmentioning

confidence: 99%

Delay-dependent stability and stabilization criteria for T–S fuzzy singular systems with interval time-varying delay by improved delay partitioning approach

Sun

Wang

2016

SpringerPlus

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This paper deals with the stability analysis and fuzzy stabilizing controller design for a class of Takagi–Sugeno fuzzy singular systems with interval time-varying delay and linear fractional uncertainties. By decomposing the delay interval into two unequal subintervals and seeking a appropriate ρ, a new Lyapunov–Krasovskii functional is constructed to develop the improved delay-dependent stability criteria, which ensures the considered system to be regular, impulse-free and stable. Furthermore, the desired fuzzy controller gains are also presented by solving a set of strict linear matrix inequalities. Compared with some existing results, the obtained ones give the result with less conservatism. Finally, some examples are given to show the improvement and the effectiveness of the proposed method.

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Memory dissipative control for singular T–S fuzzy time-varying delay systems under actuator saturation

Cited by 49 publications

References 36 publications

Finite‐Time H_∞ Filtering for Discrete‐Time Singular Markovian Jump Systems with Time Delay and Input Saturation

Finite‐Time H_∞ Filtering for Discrete‐Time Singular Markovian Jump Systems with Time Delay and Input Saturation

Reliable finite‐time H_∞ control for singular Markovian jump system with actuator saturation via sliding‐mode approach

Delay-dependent stability and stabilization criteria for T–S fuzzy singular systems with interval time-varying delay by improved delay partitioning approach

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Memory dissipative control for singular T–S fuzzy time-varying delay systems under actuator saturation

Cited by 49 publications

References 36 publications

Finite‐Time H∞ Filtering for Discrete‐Time Singular Markovian Jump Systems with Time Delay and Input Saturation

Finite‐Time H∞ Filtering for Discrete‐Time Singular Markovian Jump Systems with Time Delay and Input Saturation

Reliable finite‐time H∞ control for singular Markovian jump system with actuator saturation via sliding‐mode approach

Delay-dependent stability and stabilization criteria for T–S fuzzy singular systems with interval time-varying delay by improved delay partitioning approach

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Finite‐Time H_∞ Filtering for Discrete‐Time Singular Markovian Jump Systems with Time Delay and Input Saturation

Finite‐Time H_∞ Filtering for Discrete‐Time Singular Markovian Jump Systems with Time Delay and Input Saturation

Reliable finite‐time H_∞ control for singular Markovian jump system with actuator saturation via sliding‐mode approach