Abstract
This paper studies the problem of model reduction for nonhomogeneous Markovian jump systems. The transition probability matrix of the nonhomogeneous Markovian chain has the characteristic of a polytopic structure. An asynchronous reduced-order model is considered, and the asynchronization is modeled by a hidden Markov model with a partially unknown conditional probability matrix. Under this framework, a new sufficient condition is proposed to ensure that the augmented system is stochastically mean-square stable with a specified level of H-infty performance. Finally, a numerical example is provided to show the effectiveness and advantages of the theoretic results obtained.
Original language | English |
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Article number | 8710340 |
Pages (from-to) | 382-388 |
Number of pages | 7 |
Journal | IEEE Transactions on Automatic Control |
Volume | 65 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2020 Jan |
Keywords
- Asynchronization
- hidden Markov model
- model reduction
- nonhomogeneous Markovian chain
- partially unknown conditional probabilities
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering