An Average Dwell-Time Method for Fault-Tolerant Control of Switched Time-Delay Systems and Its Application

Jin, Ying; Zhang, Youmin; Jing, Yuanwei; Fu, Jun

doi:10.1109/tie.2018.2847684

Cited by 77 publications

(42 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A switched system consists of a set of continuous (or discrete) time subsystems and the switching strategy between the subsystems (Liberzon, 2003; Sun and Ge, 2005). In the past few decades, the switched systems have attracted extensive attention due to both theoretical and practical reasons (Echreshavi and Roosta, 2018; Jin et al, 2019; Liu et al, 2019a, 2019b; Luo et al, 2020; Xiang et al, 2018; Xue et al, 2020; Yang et al, 2020; Zhao et al, 2017). The switched system plays an important role in many applications, such as aerospace systems Lian et al (2017) and networked control systems Deaecto et al (2015).…”

Section: Introductionmentioning

confidence: 99%

Stabilization of a class of switched systems with state constraints via time-varying Lyapunov functions

Hua

Tian

2022

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

This paper studies the stabilization problem of a class of continuous-time switched linear systems with state constraints under pre-specified dwell-time switchings. Such systems are defined on a closed hypercube as all state variables are constrained to the unit hypercube. The dwell time in this paper is an arbitrarily pre-specified rather than a calculated constant, which is independent of any parameters. First, a class of multiple time-varying Lyapunov functions is introduced to study the stability analysis, and sufficient conditions on stability of the studied switched systems without control input are derived in the framework of pre-specified dwell-time switchings. The distinguishing feature of the proposed Lyapunov functions is that this type of delicately constructed Lyapunov functions can efficiently eliminate the “jump” phenomena of adjacent Lyapunov functions at switching times. Second in the same framework of the dwell time, sufficient conditions for stabilization are proposed for that of the switched systems with state constraints by further designing state feedback controllers. Finally, two examples are provided to demonstrate the effectiveness of the proposed results. The results of this paper do not require to calculate the total time of each subsystem during which the state is saturated or non-saturated separately, which makes the pre-specified dwell-time switchings easy to apply.

show abstract

Section: Introductionmentioning

confidence: 99%

Stabilization of a class of switched systems with state constraints via time-varying Lyapunov functions

Hua

Tian

2022

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

show abstract

“…As an efficient way to deal with complex nonlinear systems, switched systems have attacked considerable attentions and were applied in the areas of both military and economics [ 4 , 5 ], such as industrial manufacturing, flight control, robotic control, process control, and so on. The problems of modeling, stability analysis [ 6 ], controller design [ 7 ], and filter design [ 8 ] have been investigated recently and fruitful encouraging results emerged [ 9 ]. To mention a few, the problem of switched fault tolerant controller design is investigated in [ 10 ], the event-triggered controller design method for discrete-time switched systems is proposed in [ 11 ], and the stability and l 2 -gain analysis are given in [ 12 ].…”

Section: Introductionmentioning

confidence: 99%

Fault Detection Filter Design and Optimization for Switched Systems with All Modes Unstable

Huang

Cheng

Song

et al. 2022

Computational Intelligence and Neuroscience

View full text Add to dashboard Cite

This problem of intelligent switched fault detection filter design is investigated in this article. Firstly, the mode-dependent average dwell time (MDADT) method is applied to generate the time-dependent switching signal for switched systems with all subsystems unstable. Afterwards, the switched fault detection filter is proposed for the generation of residual signal, which consists of dynamics-based filter and learning-based filter. The MDADT method and multiple Lyapunov function (MLF) method are employed to guarantee the stability and prescribed attenuation performance. The parameters of dynamics-based filter are given by solving a series of linear matrix inequalities. To improve the transient performance, the deep reinforcement learning is introduced to design learning-based filter in the framework of actor-critic. The output of learning-based filter can be viewed as uncertainties of dynamics-based filter. The deep deterministic policy gradient algorithm and nonfragile control are adopted to guarantee the stability of algorithm and compensate the external disturbance. Finally, simulation results are given to illustrate the effectiveness of the method in the paper.

show abstract

“…For example, a noise-to-state stability analysis problem for random nonlinear systems via state-dependent switching is studied in Zhang et al (2016). A fault-tolerant control problem for uncertain switched systems by average dwell-time method is considered in Jin et al (2019). In addition, some improved switching rules have been proposed recently; see, for example, mode-dependent average dwell-time switching (Ma et al, 2019), persistent dwell-time switching (Han et al, 2010), time-varying state-dependent switching (Long, 2019) and mixed state-dependent and time-driven switching (Yang and Zhao, 2016).…”

Section: Introductionmentioning

confidence: 99%

Adaptive event-triggered control for master-slave switched systems subject to attacked state-dependent switching law

Nie

et al. 2021

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

This paper investigates adaptive event-triggered [Formula: see text] control for network-based master-slave switched systems subject to actuator saturation and data injection attacks. It is an important and unrecognised issue that the switching signal is affected from both event-triggering scheme and network attacks. An adaptive event-triggering scheme is proposed that can adjust the triggering frequency through a variable threshold based on system performance. Furthermore, considering the impacts of transmission delays and actuator saturation, an event-triggered time-delay error switched system is developed. Subsequently, by utilizing piecewise Lyapunov functional technique, sufficient conditions are derived to render the time-delay error switched system to have an [Formula: see text] performance level. In particular, the coupling between switching instants and data updating instants is analyzed during the system performance analysis. Moreover, sufficient conditions for the desired state-feedback controller gains and event-triggering parameter are presented. Finally, a numerical example is given to verify the effectiveness of the proposed method.

show abstract

An Average Dwell-Time Method for Fault-Tolerant Control of Switched Time-Delay Systems and Its Application

Cited by 77 publications

References 41 publications

Stabilization of a class of switched systems with state constraints via time-varying Lyapunov functions

Stabilization of a class of switched systems with state constraints via time-varying Lyapunov functions

Fault Detection Filter Design and Optimization for Switched Systems with All Modes Unstable

Adaptive event-triggered control for master-slave switched systems subject to attacked state-dependent switching law

Contact Info

Product

Resources

About