Fault estimation and fault-tolerant control for linear discrete time-varying stochastic systems

Zhang, Tianliang; Deng, Fujin; Sun, Yuan Gong; Shi, Peng

doi:10.1007/s11432-021-3280-4

Cited by 46 publications

(18 citation statements)

References 35 publications

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“…One is to study the finite-time control problem of system (1) as discussed in [25,26]. Another is to consider the fault-tolerant control in Zhang et al [27] or fault detection control in Jiang and Zhao [28] of system (1).…”

Section: Discussionmentioning

confidence: 99%

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Exponential Stabilization for a Class of Strict-Feedback Nonlinear Time Delay Systems via State Feedback Control Scheme

Kong

Liu

2022

Processes

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This paper considers the exponential stabilization problem for a class of strict-feedback nonlinear systems with multiple time-varying delays, whose nonlinear terms satisfy the linear growth condition. The state feedback controller that relies on a positive parameter to be determined is constructed to deal with nonlinear terms. By tactfully introducing the Lyapunov–Krasovskii functional with an exponential function and selecting the applicable parameter to be determined, the implementable state feedback controller can be obtained to guarantee that the closed-loop system is exponentially stable. The proposed state feedback control scheme is finally applied to the control design of two-stage chemical reactor system, which illustrates the effectiveness of the control method.

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Section: Discussionmentioning

confidence: 99%

“…Additionally, it is noted that κ ν(κ) tends to zero as κ tends to zero, which implies that there exists 0 < κ < κ such that 2ς|Φ|κ ν(κ) < (1 − ρ) . Therefore, we can take (27) such that condition ( 21) is always satisfied. Remark 5.…”

Section: Controller Design and Stability Analysismentioning

confidence: 99%

Exponential Stabilization for a Class of Strict-Feedback Nonlinear Time Delay Systems via State Feedback Control Scheme

Kong

Liu

2022

Processes

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“…(2) Recently, some important results on systems with stochastic noise, incomplete measurements, codingdecoding mechanisms, and protocol scheduling have been achieved; see [52][53][54][55][56][57][58][59][60][61][62][63][64][65][66][67] and other papers.…”

Section: Discussionmentioning

confidence: 99%

Adaptive Event‐Triggered Finite‐Time Tracking of Output‐Constrained High‐Order Nonlinear Systems with Time‐Varying Powers

Liu

2022

Complexity

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This paper studies the adaptive event-triggered finite-time tracking of output-constrained high-order nonlinear systems with time-varying powers. Due to the presence of multiple unknown powers and the consideration of event-triggered control, all the existing control methods of output-constrained nonlinear systems are inapplicable. By introducing nonlinear mappings, finite-time performance functions, and low-power and high-power terms into adding a power integrator technique and the relative threshold strategy, an adaptive state-feedback controller is designed to eliminate the effects caused by the output constraint and time-varying powers. It is proved that all the closed-loop signals are bounded, the asymmetric time-varying output constraint is not violated, and the tracking error converges to a prescribed arbitrarily small region around zero in a preassigned finite time. Furthermore, the Zeno phenomenon can be avoided. Two simulation examples demonstrate the effectiveness of this control scheme.

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“…However, practical systems are often affected by both white noises and exogenous disturbances, and compared with the generalized differential Riccati equations, it is easier to solve the GDREs associated with discrete-time stochastic systems. In recent years, the characteristics of discrete stochastic systems have become a very attractive research field [28,29]. Motivated by the above discussions, we study the Pareto optimum for stochastic discrete-time systems with external disturbances.…”

Section: Introductionmentioning

confidence: 99%

Pareto Optimal Strategy under H∞ Constraint for Discrete-Time Stochastic Systems

et al. 2022

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This paper investigates the Pareto optimal strategy of discrete-time stochastic systems under H∞ constraint, in which the weighting matrices of the weighted sum cost function can be indefinite. Combining the H∞ control theory with the indefinite LQ control theory, the generalized difference Riccati equations (GDREs) are obtained. By means of the solution of the GDREs, the Pareto optimal strategy with H∞ constraint is derived, and the necessary and sufficient conditions for the existence of the strategy are presented. Then the Pareto optimal solution under the worst-case disturbance is solved. Finally, the efficiency of the obtained results is illustrated by a numerical example.

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Fault estimation and fault-tolerant control for linear discrete time-varying stochastic systems

Cited by 46 publications

References 35 publications

Exponential Stabilization for a Class of Strict-Feedback Nonlinear Time Delay Systems via State Feedback Control Scheme

Exponential Stabilization for a Class of Strict-Feedback Nonlinear Time Delay Systems via State Feedback Control Scheme

Adaptive Event‐Triggered Finite‐Time Tracking of Output‐Constrained High‐Order Nonlinear Systems with Time‐Varying Powers

Pareto Optimal Strategy under H∞ Constraint for Discrete-Time Stochastic Systems

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