An explicit form of reliability and economical stationary performance indexes for monotonous multicomponent system with regard to its elements’ maintenance has been found. The maintenance strategy investigated suppos...An explicit form of reliability and economical stationary performance indexes for monotonous multicomponent system with regard to its elements’ maintenance has been found. The maintenance strategy investigated supposes preventive maintenance execution for elements that has attained certain operating time to failure. Herewith for the time period of elements’ maintenance or restoration operable elements, functionally connected with the failed ones, are deactivated. The problems of maintenance execution frequency optimization have been solved. For the model building the theory of semi-Markovian processes with a common phase field of states is used.展开更多
An explicit form of reliability and economical stationary performance indexes for monotonous multicomponent system with regard to its elements’ maintenance has been found. The maintenance strategy investigated suppos...An explicit form of reliability and economical stationary performance indexes for monotonous multicomponent system with regard to its elements’ maintenance has been found. The maintenance strategy investigated supposes preventive maintenance execution for elements that has attained certain operating time to failure. Herewith for the time period of elements’ maintenance or restoration operable elements are not deactivated. The problems of maintenance execution frequency optimization have been solved. For the model building the theory of semi-Markovian processes with a common phase field of states is used.展开更多
Mathematical model of control of restorable system with latent failures has been built. Failures are assumed to be detected after control execution only. Stationary characteristics of system operation reliability and ...Mathematical model of control of restorable system with latent failures has been built. Failures are assumed to be detected after control execution only. Stationary characteristics of system operation reliability and efficiency have been defined. The problem of control execution periodicity optimization has been solved. The model of control has been built by means of apparatus of semi-Markovian processes with a discrete-contin- uous field of states.展开更多
Semi-Markovian model of control of restorable system with latent failures has been built with regard to control errors. Stationary reliability and efficiency characteristics of its operation have been found. The probl...Semi-Markovian model of control of restorable system with latent failures has been built with regard to control errors. Stationary reliability and efficiency characteristics of its operation have been found. The problem of control execution periodicity optimization has been solved.展开更多
This paper presents an asynchronous output-feed-back control strategy of semi-Markovian systems via sliding mode-based learning technique.Compared with most literature results that require exact prior knowledge of sys...This paper presents an asynchronous output-feed-back control strategy of semi-Markovian systems via sliding mode-based learning technique.Compared with most literature results that require exact prior knowledge of system state and mode information,an asynchronous output-feedback sliding sur-face is adopted in the case of incompletely available state and non-synchronization phenomenon.The holonomic dynamics of the sliding mode are characterized by a descriptor system in which the switching surface is regarded as the fast subsystem and the system dynamics are viewed as the slow subsystem.Based upon the co-occurrence of two subsystems,the sufficient stochastic admissibility criterion of the holonomic dynamics is derived by utilizing the characteristics of cumulative distribution functions.Furthermore,a recursive learning controller is formulated to guarantee the reachability of the sliding manifold and realize the chattering reduction of the asynchronous switching and sliding motion.Finally,the proposed theoretical method is substantia-ted through two numerical simulations with the practical contin-uous stirred tank reactor and F-404 aircraft engine model,respectively.展开更多
This study investigates the problem of output feedback control for semi-Markovian jump systems(S-MJLSs)with time-varying delay.Due to the relaxed conditions on the stochastic process,the S-MJLSs are with time-varying ...This study investigates the problem of output feedback control for semi-Markovian jump systems(S-MJLSs)with time-varying delay.Due to the relaxed conditions on the stochastic process,the S-MJLSs are with time-varying transition rates and can describe a broader class of dynamical systems than the traditional Markovian jump linear systems.Specially,first,by using a novel free-matrix-based integral inequality(FMBII)including well-known integral inequalities as special cases,the H∞performance analysis and mode-dependent nonrational synthesis conditions for the underlying S-MJLSs are developed,respectively.Secondly,the conditions obtained in this paper are formulated in terms of linear matrix inequalities(LMIs),which can be efficiently solved via standard numerical software.Finally,numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.展开更多
Actuator faults usually cause security problem in practice.This paper is concerned with the security control of positive semi-Markovian jump systems with actuator faults.The considered systems are with mode transition...Actuator faults usually cause security problem in practice.This paper is concerned with the security control of positive semi-Markovian jump systems with actuator faults.The considered systems are with mode transition-dependent sojourn-time distributions,which may also lead to actuator faults.First,the time-varying and bounded transition rate that satisfies the mode transition-dependent sojourn-time distribution is considered.Then,a stochastic co-positive Lyapunov function is constructed.Using matrix decomposition technique,a set of state-feedback controllers for positive semi-Markovian jump systems with actuator faults are designed in terms of linear programming.Under the designed controllers,stochastic stabilization of the systems with actuator faults are achieved and the security of the systems can be guaranteed.Furthermore,the proposed results are extended to positive semi-Markovian jump systems with interval and polytopic uncertainties.By virtue of a segmentation technique of the transition rates,a less conservative security control design is also proposed.Finally,numerical examples are provided to demonstrate the validity of the presented results.展开更多
This paper is concerned with the event-triggered control of positive semi-Markovian jump systems without/with input saturation.The considered systems are subject to a stochastic semi-Markovian process whose sojourn ti...This paper is concerned with the event-triggered control of positive semi-Markovian jump systems without/with input saturation.The considered systems are subject to a stochastic semi-Markovian process whose sojourn time is dependent on a non-exponential distribution.First,an event-triggering condition is introduced in a linear form for the systems.A class of event-triggered feedback controllers is proposed using matrix decomposition technique.By using a stochastic co-positive Lyapunov function,the systems’positivity and stability are guaranteed.Then,the obtained results are developed for the systems with input saturation.A cone set is chosen as the attraction domain and the corresponding attraction domain gain matrix is designed in terms of standard linear programming approach.Finally,two numerical examples are provided to verify the validity and effectiveness of the presented theoretical findings.展开更多
Semi-Markovian model of operation of a single-server queue system with losses and immediate service quality control has been built. In case of unsatisfactory request service quality, its re-servicing is carried out. R...Semi-Markovian model of operation of a single-server queue system with losses and immediate service quality control has been built. In case of unsatisfactory request service quality, its re-servicing is carried out. Re-servicing is executed till it is regarded satisfactory. Time between request income, and request service time are assumed to be random values with distribution functions of general kind. An explicit form of the system stationary characteristics has been defined.展开更多
This paper addresses the almost surely exponential(ASE)stabilisation problem of continuoustime singular semi-Markov jump systems(s-MJSs),where the state at jump instants is discontinuous.Because of such a discontinuit...This paper addresses the almost surely exponential(ASE)stabilisation problem of continuoustime singular semi-Markov jump systems(s-MJSs),where the state at jump instants is discontinuous.Because of such a discontinuity existing,the consistency of initial condition at jump instants is impossible to be ensured but is an essential issue of singular systems.A proportional-derivative(PD)state feedback controller is proposed to deal with it such that the closed-loop singular s-MJSs is normal and ASE-stable.New sufficient conditions for the existence of such a controller are derived as linear matrix inequalities,which includes some existing considered systems as special situations.Two numerical examples are used to show the effectiveness and superiority of the methods.展开更多
文摘An explicit form of reliability and economical stationary performance indexes for monotonous multicomponent system with regard to its elements’ maintenance has been found. The maintenance strategy investigated supposes preventive maintenance execution for elements that has attained certain operating time to failure. Herewith for the time period of elements’ maintenance or restoration operable elements, functionally connected with the failed ones, are deactivated. The problems of maintenance execution frequency optimization have been solved. For the model building the theory of semi-Markovian processes with a common phase field of states is used.
文摘An explicit form of reliability and economical stationary performance indexes for monotonous multicomponent system with regard to its elements’ maintenance has been found. The maintenance strategy investigated supposes preventive maintenance execution for elements that has attained certain operating time to failure. Herewith for the time period of elements’ maintenance or restoration operable elements are not deactivated. The problems of maintenance execution frequency optimization have been solved. For the model building the theory of semi-Markovian processes with a common phase field of states is used.
文摘Mathematical model of control of restorable system with latent failures has been built. Failures are assumed to be detected after control execution only. Stationary characteristics of system operation reliability and efficiency have been defined. The problem of control execution periodicity optimization has been solved. The model of control has been built by means of apparatus of semi-Markovian processes with a discrete-contin- uous field of states.
文摘Semi-Markovian model of control of restorable system with latent failures has been built with regard to control errors. Stationary reliability and efficiency characteristics of its operation have been found. The problem of control execution periodicity optimization has been solved.
基金supported in part by the National Science Fund for Excellent Young Scholars of China(62222317)the National Science Foundation of China(62303492)+3 种基金the Major Science and Technology Projects in Hunan Province(2021GK1030)the Science and Technology Innovation Program of Hunan Province(2022WZ1001)the Key Research and Development Program of Hunan Province(2023GK2023)the Fundamental Research Funds for the Central Universities of Central South University(2024ZZTS0116)。
文摘This paper presents an asynchronous output-feed-back control strategy of semi-Markovian systems via sliding mode-based learning technique.Compared with most literature results that require exact prior knowledge of system state and mode information,an asynchronous output-feedback sliding sur-face is adopted in the case of incompletely available state and non-synchronization phenomenon.The holonomic dynamics of the sliding mode are characterized by a descriptor system in which the switching surface is regarded as the fast subsystem and the system dynamics are viewed as the slow subsystem.Based upon the co-occurrence of two subsystems,the sufficient stochastic admissibility criterion of the holonomic dynamics is derived by utilizing the characteristics of cumulative distribution functions.Furthermore,a recursive learning controller is formulated to guarantee the reachability of the sliding manifold and realize the chattering reduction of the asynchronous switching and sliding motion.Finally,the proposed theoretical method is substantia-ted through two numerical simulations with the practical contin-uous stirred tank reactor and F-404 aircraft engine model,respectively.
文摘This study investigates the problem of output feedback control for semi-Markovian jump systems(S-MJLSs)with time-varying delay.Due to the relaxed conditions on the stochastic process,the S-MJLSs are with time-varying transition rates and can describe a broader class of dynamical systems than the traditional Markovian jump linear systems.Specially,first,by using a novel free-matrix-based integral inequality(FMBII)including well-known integral inequalities as special cases,the H∞performance analysis and mode-dependent nonrational synthesis conditions for the underlying S-MJLSs are developed,respectively.Secondly,the conditions obtained in this paper are formulated in terms of linear matrix inequalities(LMIs),which can be efficiently solved via standard numerical software.Finally,numerical examples are presented to demonstrate the effectiveness and advantages of the theoretical results.
基金supported by the National Nature Science Foundation of China(Nos.62073111,61703132)the Fundamental Research Funds for the Provincial Universities of Zhejiang(No.GK209907299001-007)+2 种基金the Natural Science Foundation of Zhejiang Province,China(No.LY20F030008)the Foundation of Zhejiang Provincial Education Department of China(No.Y202044335)the Graduate Scientific Research Foundation of Hangzhou Dianzi University(No.CXJJ2020051).
文摘Actuator faults usually cause security problem in practice.This paper is concerned with the security control of positive semi-Markovian jump systems with actuator faults.The considered systems are with mode transition-dependent sojourn-time distributions,which may also lead to actuator faults.First,the time-varying and bounded transition rate that satisfies the mode transition-dependent sojourn-time distribution is considered.Then,a stochastic co-positive Lyapunov function is constructed.Using matrix decomposition technique,a set of state-feedback controllers for positive semi-Markovian jump systems with actuator faults are designed in terms of linear programming.Under the designed controllers,stochastic stabilization of the systems with actuator faults are achieved and the security of the systems can be guaranteed.Furthermore,the proposed results are extended to positive semi-Markovian jump systems with interval and polytopic uncertainties.By virtue of a segmentation technique of the transition rates,a less conservative security control design is also proposed.Finally,numerical examples are provided to demonstrate the validity of the presented results.
基金the National Natural Science Foundation of China(Nos.62073111 and 61803134)the Fundamental Research Funds for the Provincial Universities of Zhejiang(No.GK209907299001-007)+2 种基金the Natural Science Foundation of Zhejiang Province,China(Nos.LY20F030008 and LY20F030011)the Open Research Project of Zhejiang Lab(No.2021MC0AB04)the Foundation of Zhejiang Provincial Education Department of China(No.Y202044263)。
文摘This paper is concerned with the event-triggered control of positive semi-Markovian jump systems without/with input saturation.The considered systems are subject to a stochastic semi-Markovian process whose sojourn time is dependent on a non-exponential distribution.First,an event-triggering condition is introduced in a linear form for the systems.A class of event-triggered feedback controllers is proposed using matrix decomposition technique.By using a stochastic co-positive Lyapunov function,the systems’positivity and stability are guaranteed.Then,the obtained results are developed for the systems with input saturation.A cone set is chosen as the attraction domain and the corresponding attraction domain gain matrix is designed in terms of standard linear programming approach.Finally,two numerical examples are provided to verify the validity and effectiveness of the presented theoretical findings.
文摘Semi-Markovian model of operation of a single-server queue system with losses and immediate service quality control has been built. In case of unsatisfactory request service quality, its re-servicing is carried out. Re-servicing is executed till it is regarded satisfactory. Time between request income, and request service time are assumed to be random values with distribution functions of general kind. An explicit form of the system stationary characteristics has been defined.
基金the National Natural Science Foundation of China[grant numbers 61473140 and 62073158]the Liaoning Revitalization Talents Program[grant number XLYC1807030]the Program for Liaoning Innovative Talents in University[grant number LR2017029].
文摘This paper addresses the almost surely exponential(ASE)stabilisation problem of continuoustime singular semi-Markov jump systems(s-MJSs),where the state at jump instants is discontinuous.Because of such a discontinuity existing,the consistency of initial condition at jump instants is impossible to be ensured but is an essential issue of singular systems.A proportional-derivative(PD)state feedback controller is proposed to deal with it such that the closed-loop singular s-MJSs is normal and ASE-stable.New sufficient conditions for the existence of such a controller are derived as linear matrix inequalities,which includes some existing considered systems as special situations.Two numerical examples are used to show the effectiveness and superiority of the methods.
