State feedback stabilization for networked control systems with partly unknown transition probabilities

Wang, Yanfeng; Li, Zuxin; Hong, Sisi; Wang, Feifei

doi:10.23919/chicc.2017.8028556

Cited by 5 publications

(7 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Markov chain which is a discrete-time stochastic process with the Markov property can be effectively used to model the time-delay in NCSs. The random time-delays in NCSs modeled as Markov chains have been researched in the past several years, and many results have been reported [7][8][9][10][11][12][13][14][15][16][17]. In [7], the time-delay of NCSs was modeled as a Markov chain, and further a LQG optimal controller design method was proposed.…”

Section: Introductionmentioning

confidence: 99%

“…The closed-loop systems were modeled as MJLSs with four modes and partly inaccessible transition probabilities. In [16,17], the closed-loop systems were modeled as MJLSs with partly inaccessible transition probabilities of the S-C delay, and the stabilization controller was designed though the linear matrix inequality (LMI) method. In [18], the transition probabilities of the time-delay were assumed to be partly inaccessible, and the fault-tolerant controller for the discretetime NCSs was designed.…”

Section: Introductionmentioning

confidence: 99%

“…In [18], the transition probabilities of the time-delay were assumed to be partly inaccessible, and the fault-tolerant controller for the discretetime NCSs was designed. Unfortunately, in [16][17][18], only the S-C delay was considered and an improved controller should take both S-C delay and C-A delay into consideration. It is well known that nonlinearities usually exist in practical systems.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains

Wang

2017

Journal of Control Science and Engineering

Self Cite

View full text Add to dashboard Cite

This paper investigates the observer-based controller design problem for a class of nonlinear networked control systems with random time-delays. The nonlinearity is assumed to satisfy a global Lipschitz condition and two dependent Markov chains are employed to describe the time-delay from sensor to controller (S-C delay) and the time-delay from controller to actuator (C-A delay), respectively. The transition probabilities of S-C delay and C-A delay are both assumed to be partly inaccessible. Sufficient conditions on the stochastic stability for the closed-loop systems are obtained by constructing proper Lyapunov functional. The methods of calculating the controller and the observer gain matrix are also given. Two numerical examples are used to illustrate the effectiveness of the proposed method.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains

Wang

2017

Journal of Control Science and Engineering

Self Cite

View full text Add to dashboard Cite

show abstract

“…It is significant and necessary to investigate the FD problems for NCSs with the Markov jump controlled plants. However, the controlled plants in most of the existing literature were assumed to be the timeinvariant systems (see [12][13][14][15][16][17][18][19][20]). To the best of the authors' knowledge, up to now, very limited efforts have been devoted to investigating the FD problem for NCSs with the Markov jump controlled plant, which motivates our investigation.…”

Section: Introductionmentioning

confidence: 99%

“…A residual generator was constructed, and the corresponding FD problem was converted into a ∞ filtering problem. In [20], the time-delays from sensor to controller and the time-delays from sensor to actuator are both considered which were described by two independent Markov chains.…”

Section: Introductionmentioning

confidence: 99%

Robust H_∞ Fault Detection for Networked Markov Jump Systems with Random Time‐Delay

Wang

Zhou

2017

Mathematical Problems in Engineering

Self Cite

View full text Add to dashboard Cite

This paper investigates the problem of robust ∞ fault detection for networked Markov jump systems with random time-delay which is introduced by the network. The random time-delay is modeled as a Markov process, and the networked Markov jump systems are modeled as control systems containing two Markov chains. The delay-dependent fault detection filter is constructed. Furthermore, the sufficient and necessary conditions which make the closed-loop system stochastically stable and achieve prescribed ∞ performance are derived. The method of calculating controller, fault detection filter gain matrices, and the minimal ∞ attenuation level is also obtained. Finally, one numerical example is used to illustrate the effectiveness of the proposed method.

show abstract

An Output Feedback Predictive Control for Stochastic Stabilization of a System With Multiple Fixed State Delays and Multiple Markov Input Delays

Yang

2020

IEEE Access

View full text Add to dashboard Cite

This paper studies the stochastic stabilization with an output feedback predictive control for a linear system with multiple fixed state delays and multiple Markov input delays. The two equivalent systems are developed through two steps. The original system is transformed to a system with augmented states in a state delay free form. Then, it is further transformed into a system with a predictive state in an input delay free form. The stochastic stability condition of the equivalent system is shown to be a sufficient condition for the stochastic stability of the original system. The stability condition is given as a set of linear matrix inequalities of which matrix size depends only on the maximum state delay, not on the maximum input delay. Simulation results show that the proposed methods provide similar or better performance than the conventional method while their complexities are much smaller in most cases. INDEX TERMS Delay, linear matrix inequality, output feedback control, predictive control, stochastic stabilization. JANGHOON YANG (Member, IEEE) received the Ph.D. degree in electrical engineering from the

show abstract

State feedback stabilization for networked control systems with partly unknown transition probabilities

Cited by 5 publications

References 17 publications

Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains

Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains

Robust H_∞ Fault Detection for Networked Markov Jump Systems with Random Time‐Delay

An Output Feedback Predictive Control for Stochastic Stabilization of a System With Multiple Fixed State Delays and Multiple Markov Input Delays

Contact Info

Product

Resources

About

State feedback stabilization for networked control systems with partly unknown transition probabilities

Cited by 5 publications

References 17 publications

Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains

Observer-Based Controller Design for a Class of Nonlinear Networked Control Systems with Random Time-Delays Modeled by Markov Chains

Robust H∞ Fault Detection for Networked Markov Jump Systems with Random Time‐Delay

An Output Feedback Predictive Control for Stochastic Stabilization of a System With Multiple Fixed State Delays and Multiple Markov Input Delays

Contact Info

Product

Resources

About

Robust H_∞ Fault Detection for Networked Markov Jump Systems with Random Time‐Delay