Abstract
The two-mode-dependent controller design problem for networked Markov system with time-delay in both S/C link and C/A link is investigated in this paper. Two independent Markov chains are used to describe the time-delay in S/C link and C/A link. A two-mode-dependent state feedback controller is proposed that depends on both the S/C time-delay and the mode of the Markov controlled plant. The sufficient conditions on the stochastic stability of the closed-loop system are established. The design method of the controller is also proposed on condition that the transition probability matrices of S/C time-delay and mode of the controlled plant are completely known and partly unknown respectively. A numerical example is exploited to illustrate the effectiveness and superiority of the proposed method.
Highlights
Networked control system (NCS) has gained great attentions during the past decades and it is applied widely in realtime industrial control, environmental monitoring, military, telemedicine and other fields [1]–[4]
The stability analysis and controller design for NCS with time-delay and data packet dropout has become a hot research filed on account of its essential impact on modern control theory, and a great many literatures have been reported [5]–[7]
How to explicitly incorporate the time-delay into the controller design is the object of the related research
Summary
Networked control system (NCS) has gained great attentions during the past decades and it is applied widely in realtime industrial control, environmental monitoring, military, telemedicine and other fields [1]–[4]. The stability analysis and controller design for NCS with time-delay and data packet dropout has become a hot research filed on account of its essential impact on modern control theory, and a great many literatures have been reported [5]–[7]. Modeling the time-delay as a random sequence of Bernoulli distribution is one of the common methods in research of NCS. This method can only deal with one-step time-delay [10], [11]. The time-delay was modeled as a random sequence of Bernoulli distribution, and the robust H∞ filtering problem for NCS with both random time-delay and packet dropout was researched.
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