Finite-time stabilization of switched stochastic nonlinear systems with mixed odd and even powers

Huang, Shipei; Xiang, Zhengrong

doi:10.1016/j.automatica.2016.06.023

Cited by 145 publications

(102 citation statements)

References 40 publications

Supporting

Mentioning

101

Contrasting

Order By: Relevance

“…In recent years, network control systems (NCSs) have been a growing trend, which have found wide implementations in such as input‐to‐state stability, sensor networks, and power control . Due to the ease of integration of NCSs with other systems, it has gained increasing attention . Cyberattacks are a fatal threat to the safety of NCSs, whose purpose is to reduce system reliability.…”

Section: Introductionmentioning

confidence: 99%

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Liu

Qiu

et al. 2020

Optim Control Appl Methods

View full text Add to dashboard Cite

Summary This paper studies the event‐triggered H∞ control for synchronization of networked switched master‐slave systems under external disturbance, stochastic attacks, and quantization. With the proposed event‐triggering schemes, the communication frequency and data packets can be effectively regulated and reduced. To reduce further the burden of network transmission, the quantized control is applied. Moreover, the network transmission delay and the stochastic cyberattacks are concerned. In addition, the synchronization problem between switched master systems and switched slave systems is transformed into a stability problem of switched error systems. By adopting multiple Lyapunov functions and average dwell time method, sufficient conditions are constructed to assure the mean‐square exponential stability with H∞ performance of the switched error systems. Meanwhile, the stagger between data switching instants and triggering instants is discussed in the system in detail. Accordingly, the controller gains and event‐triggering parameters are obtained utilizing a set of linear matrix inequalities. Finally, a numerical simulation and a practical example are illustrated to demonstrate the effectiveness of the presented method.

show abstract

Section: Introductionmentioning

confidence: 99%

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Liu

Qiu

et al. 2020

Optim Control Appl Methods

View full text Add to dashboard Cite

show abstract

“…Therefore, it is of great significance to study the finite‐time control of stochastic nonlinear systems. Ever since stochastic finite‐time stability criterion was proposed first in Reference , a number of elegant developments have been achieved for various aspects based on it; see References and references therein. For example, a finite‐time stabilizer was given in References for a class of stochastic nonlinear systems by output feedback.…”

Section: Introductionmentioning

confidence: 99%

“…For example, a finite‐time stabilizer was given in References for a class of stochastic nonlinear systems by output feedback. Then, an adaptive finite‐time design scheme was reported in References for a class of switched stochastic nonlinear systems. Subsequently, the problem of finite‐time control for a class of stochastic nonlinear systems with stochastic integral input‐to‐state stability inverse dynamics and unknown covariance noise was solved in References and .…”

Section: Introductionmentioning

confidence: 99%

Finite‐time stabilization for a class of stochastic low‐order nonlinear systems with unknown control coefficients

Shao

et al. 2020

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

Summary This paper addresses the problem of finite‐time stabilization for a class of low‐order stochastic upper‐triangular nonlinear systems corrupted by unknown control coefficients. Unlike the relevant schemes, the control strategy draws into a dominate gain to cope with the deteriorative effects of both uncertain nonlinearities and unknown control coefficients without using traditional adaptive compensation method. Then, a state feedback controller is constructed by the adding a power integrator method and modified homogeneous domination approach, to ensure the finite‐time stability of the closed‐loop system. Finally, the effectiveness of proposed control strategy has been demonstrated by a simulation example.

show abstract

“…Based on literature [7], modedependent feedback controllers are designed to achieve finite-time stability of switched nonlinear systems in reference [8]. To solve the finite-time stabilization problems for a class of switched stochastic nonlinear systems, a state feedback control law with state-dependent switching is designed in reference [9].…”

Section: Introductionmentioning

confidence: 99%

Finite-Time Optimization Stabilization for a Class of Constrained Switched Nonlinear Systems

Chunyu

2018

Mathematical Problems in Engineering

View full text Add to dashboard Cite

This paper studies the finite-time stability problem of a class of switched nonlinear systems with state constraints and control constrains. For each subsystem, optimization controller is designed by choosing the appropriate Lyapunov function to stabilize the subsystem in finite time and the estimation of the region of attraction can be prescribed. For the whole switched nonlinear system, a suitable switched law is designed to ensure the following: (1) at the time of the transition, Lyapunov function's value of the switched-in subsystem being less than the value of the last subsystem; (2) the finite-time stability of the whole close-loop system. Finally, a simulation example is used to verify the effectiveness of the proposed algorithm.

show abstract

Finite-time stabilization of switched stochastic nonlinear systems with mixed odd and even powers

Cited by 145 publications

References 40 publications

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Finite‐time stabilization for a class of stochastic low‐order nonlinear systems with unknown control coefficients

Finite-Time Optimization Stabilization for a Class of Constrained Switched Nonlinear Systems

Contact Info

Product

Resources

About

Finite-time stabilization of switched stochastic nonlinear systems with mixed odd and even powers

Cited by 145 publications

References 40 publications

Event‐triggered H∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Event‐triggered H∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Finite‐time stabilization for a class of stochastic low‐order nonlinear systems with unknown control coefficients

Finite-Time Optimization Stabilization for a Class of Constrained Switched Nonlinear Systems

Contact Info

Product

Resources

About

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization

Event‐triggered H_∞ synchronization control for switched master‐slave systems subject to stochastic cyber attacks and quantization