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When hidden Markov models (HMMs, including discrete HMM and semi-continuous HMM) are used to model and predict the random delays in networked control systems, there are five parameters needed to be estimated. They are the number of different network states, the initial distribution of the network states, the state transition matrix of the hidden Markov chain formed by the network states, the number...
In order to achieve the application of discrete-time hidden Markov model (DTHMM) in modeling and controlling the networked control system (NCS) with the network-induced delays in the forward channel, a simulation platform was designed and implemented in this paper by using TrueTime 1.5, which is a Matlab/Simulink-based simulator. There were one network module and four kernel modules (sensor, controller,...
Packet loss in a networked control system (NCS) is a stochastic event that depends on the current network state, which, as an abstract and hidden variable, can not be well defined but can be perceived by the observation of the packet-loss process. We model the network in an NCS as a Markov chain and the packet losses as stochastic events whose probability depends on the Markov chain state (i.e. network...
Network-induced delays in a networked control system (NCS) are stochastic continuous variables that depend on the current network state, which, as an abstract and hidden variable, can not be well defined but can be perceived by the observation of the packet-delay process. We model the network in an NCS as a hidden Markov chain and the network delay as stochastic variable whose probability density...
For the stability analysis of the networked control system (NCS) with random network-induced delays, which were considered to be governed by an underlying Markov chain with unknown probability distribution, the hidden Markov model (HMM) theory was proposed to model this kind of NCS as a jump linear system, wherein the output feedback controller was adopted. By using Baum-Welch algorithm, the parameters...
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