Finite-Time State Estimation for Coupled Markovian Neural Networks With Sensor Nonlinearities

Wang, Zhuo; Xu, Yong; Lu, Renquan; Peng, Hui

doi:10.1109/tnnls.2015.2490168

Cited by 98 publications

(35 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As a matter of fact a time‐triggered controller is constructed and all data need to be computed to update the control signal in this paper. To decrease the computational burden and obtain the fast convergence rate, via combining with event‐triggered control and finite‐time control, the event‐based adaptive control problem for this kind of MIMO nonlinear systems will be considered in the future work.…”

Section: Discussionmentioning

confidence: 99%

Asymptotic tracking control for constrained nonstrict‐feedback MIMO nonlinear systems via parameter compensations

Pan

Chadli

et al. 2020

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

This paper studies the problem of adaptive fuzzy asymptotic tracking control for multiple input multiple output nonlinear systems in nonstrict-feedback form.Full state constraints, input quantization, and unknown control direction are simultaneously considered in the systems. By using the fuzzy logic systems, the unknown nonlinear functions are identified. A modified partition of variables is introduced to handle the difficulty caused by nonstrict-feedback structure. In each step of the backstepping design, the symmetric barrier Lyapunov functions are designed to avoid the breach of the state constraints, and the issues of overparametrization and unknown control direction are settled via introducing two compensation functions and the property of Nussbaum function, respectively. Furthermore, an adaptive fuzzy asymptotic tracking control strategy is raised.Based on Lyapunov stability analysis, the developed control strategy can effectually ensure that all the system variables are bounded, and the tracking errors asymptotically converge to zero. Eventually, simulation results are supplied to verify the feasibility of the proposed scheme. K E Y W O R D Sadaptive fuzzy control, asymptotic tracking control, nonstrict-feedback system, state constraints, unknown control direction INTRODUCTIONOn account of the extensively practical applications, studies on adaptive trajectory tracking control design for uncertain nonlinear systems have made a major breakthrough, such as adaptive control, 1-3 sliding mode control, 4-6 robust control, 7-9 fault tolerant control, 10,11 and so on. In addition, backstepping-based adaptive neural control 12-18 and fuzzy control [19][20][21][22][23][24][25][26][27][28][29][30] for nonlinear systems have been well studied in the past few years, in which fuzzy logic systems (FLSs) or neural networks (NNs) were viewed as universal approximators to identify the uncertain system nonlinearities, and then, an adaptive controller was designed by combining with the backstepping technique. Cite several examples, based on FLS's online approximation capability, a new adaptive fuzzy control scheme was presented in Reference 20. Tong et al citebib21 established a fuzzy state observer and proposed a decentralized adaptive fuzzy optimal control approach for nonlinear large-scale systems. In Reference 22, the fuzzy adaptive output feedback controller was constructed for strict-feedback nonlinear systems, where the problem of virtual control coefficients was well handled by using a convex combination technique. Int J Robust Nonlinear Control. 2020;30:3365-3381. wileyonlinelibrary.com/journal/rnc

show abstract

Section: Discussionmentioning

confidence: 99%

Asymptotic tracking control for constrained nonstrict‐feedback MIMO nonlinear systems via parameter compensations

Pan

Chadli

et al. 2020

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

show abstract

“…However, the above documents only solve the control problem in unrestricted‐time convergence. In the view of some engineering applications, 36‐43 several control systems need to satisfy finite‐time performance 41‐43 …”

Section: Introductionmentioning

confidence: 99%

Adaptive fuzzy finite‐time fault‐tolerant control of nonlinear systems with state constraints and input quantization

Pan

Yang

et al. 2020

Adaptive Control & Signal

View full text Add to dashboard Cite

Summary This article concentrates on an adaptive finite‐time fault‐tolerant fuzzy tracking control problem for nonstrict feedback nonlinear systems with input quantization and full‐state constraints. By utilizing the fuzzy logic systems and less adjustable parameters method, the unknown nonlinear functions are addressed in each step process. In addition, a dynamic surface control technique combined with fuzzy control is introduced to tackle the variable separation problem. The problem for the effect of quantization and unlimited number of actuator faults is tackled by a damping term with smooth function in the intermediate control law. Finite‐time stability is achieved by combining barrier Lyapunov functions and backstepping method. The finite‐time controller is designed such that all the responses of the systems are semiglobal practical finite‐time stable and ensured to remain in the predefined compact sets while tracking error converges to a small neighborhood of the origin in finite time. Finally, simulation examples are utilized to testify the validity of the investigated strategy.

show abstract

“…For another, synchronization control, especially for multimotors, plays an important role in industrial production, in which the efficiency and quality of the production process are closely related to the synchronous performance, such as dyeing and finishing machines in the textile industry, paper machines that produce very flexible products, and so on. In fact, since the synchronization problem for two identical chaotic systems that start at different initial points was investigated in Reference , a great quantity of synchronization methods have been developed, such as pinning synchronization, sampled‐data synchronization, and finite‐time synchronization . Note that a number of actual systems that require certain synchronization precision to guarantee the completion of operation tasks would be likely to work under different operation conditions.…”

Section: Introductionmentioning

confidence: 99%

“…Based on the stochastic Lyapunov function method and finite‐time analysis techniques, sufficient conditions are established to guarantee the existence of desired observer‐based synchronization controller in terms of LMIs. The key contributions of this article are as follows: A state observer is designed to settle the infeasibility of obtaining the complete information of master nonhomogeneous MJSs states directly, and the desired observer‐based controller is constructed to synchronize the control outputs of master‐slave nonhomogeneous MJSs. Different from time‐invariant TPs, this article investigates the time‐varying TPs due to their excellent applicability to reality. To get the hypothesis of time‐varying TPs closer to the reality, an appropriate one is to consider the character in a polyhedral sense, which is utilized here to propose more general synchronization framework than those in existing works. We first investigate the finite‐time boundedness problem for nonhomogeneous master‐slave MJSs to constrain the synchronization errors within a prescribed bound. A pulse‐width‐modulation (PWM)‐driven boost converter application is exploited to illustrate the flexibility of the proposed observer‐based finite‐time H ∞ synchronization control scheme. …”

Section: Introductionmentioning

confidence: 99%

Robust finite‐time H_∞ synchronization for uncertain discrete‐time systems with nonhomogeneous Markovian jump: Observer‐based case

Xing

Gao

et al. 2020

Intl J Robust & Nonlinear

View full text Add to dashboard Cite

In this article, the problem of robust finite-time H ∞ synchronization control is investigated for a class of uncertain discrete-time master-slave systems with Markovian switching parameters in the observer-based case. Parameter uncertainties are assumed to be norm-bounded, and the polyhedral character is utilized to describe the transition probabilities of nonhomogeneous Markov chain.By using stochastic Lyapunov function method and finite-time analysis techniques, novel sufficient conditions that include the master-slave parameters are obtained for designing an observer-based finite-time H ∞ synchronization control law in terms of linear matrix inequalities. The effectiveness of the proposed theoretical scheme is finally demonstrated by some simulations. K E Y W O R D Sfinite-time control, nonhomogeneous Markovian jump systems, observer-based control, parameter uncertainties, synchronization INTRODUCTIONMarkovian jump systems (MJSs), as a class of stochastic hybrid systems, have received a great deal of interest due to their effectiveness of modeling dynamic systems with random abrupt changes on structures and parameters. What characters these systems is that the system modes evolve subject to a Markov chain, which follows its own transition probabilities (TPs). Much attention has been devoted to the research to obtain more appropriate assumptions on TPs, 1-5 for the reason that traditionally ideal assumption on TPs limits the applicability of the relevant results. Significantly, the Markov chains in most of the aforementioned works are assumed to be homogeneous, 6-8 namely, the TPs are time-invariant. In reality, however, the switching of system mode is usually affected by multiple factors at the same time, and each factor may have different degree of influence on it at different times. For example, Markov chain can be an effective tool to describe networked delays, 9,10 and the variation rate of delays is affected by various factors at different times, such as poor quality of communication lines, network-loaded servers, and so on. Apparently, during the period of system operating, the network congestion and the condition of communication facilities are "persistently" varying. This phenomenon leads to the research of nonhomogeneous Markov chain, in which the transition probabilities are time-varying. In the existing control literature studies, the character of time-varying TPs is mainly divided into two categories: finite piecewise homogeneous and polyhedral. It is noteworthy that the finite piecewise homogeneous type of time-varying TPs is only a special case of polyhedral time-varying TPs. To investigate nonhomogeneous MJSs with polyhedral time-varying TPs, related works have been reported in recent years. The problem of stochastic stabilization for nonhomogeneous MJSs was first investigated in Reference 11. References 12 and 13 studied the problems of H ∞ control and output feedback control for nonhomogeneous 3982

show abstract

Finite-Time State Estimation for Coupled Markovian Neural Networks With Sensor Nonlinearities

Cited by 98 publications

References 32 publications

Asymptotic tracking control for constrained nonstrict‐feedback MIMO nonlinear systems via parameter compensations

Asymptotic tracking control for constrained nonstrict‐feedback MIMO nonlinear systems via parameter compensations

Adaptive fuzzy finite‐time fault‐tolerant control of nonlinear systems with state constraints and input quantization

Robust finite‐time H_∞ synchronization for uncertain discrete‐time systems with nonhomogeneous Markovian jump: Observer‐based case

Contact Info

Product

Resources

About

Finite-Time State Estimation for Coupled Markovian Neural Networks With Sensor Nonlinearities

Cited by 98 publications

References 32 publications

Asymptotic tracking control for constrained nonstrict‐feedback MIMO nonlinear systems via parameter compensations

Asymptotic tracking control for constrained nonstrict‐feedback MIMO nonlinear systems via parameter compensations

Adaptive fuzzy finite‐time fault‐tolerant control of nonlinear systems with state constraints and input quantization

Robust finite‐time H∞ synchronization for uncertain discrete‐time systems with nonhomogeneous Markovian jump: Observer‐based case

Contact Info

Product

Resources

About

Robust finite‐time H_∞ synchronization for uncertain discrete‐time systems with nonhomogeneous Markovian jump: Observer‐based case