Finite‐time    H  2   /   H  ∞    control for linear Itô stochastic Markovian jump systems: mode‐dependent approach | Zendy

Yan Zhiguo | Zendy; Song Yunxia | Zendy; Park Ju H. | Zendy

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Finite‐time H 2 / H ∞ control for linear Itô stochastic Markovian jump systems: mode‐dependent approach

Author(s) -

Yan Zhiguo,

Song Yunxia,

Park Ju H.

Publication year - 2020

Publication title -

iet control theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.059

H-Index - 108

eISSN - 1751-8652

pISSN - 1751-8644

DOI - 10.1049/iet-cta.2020.0515

Subject(s) - control theory (sociology) , mode (computer interface) , markov process , jump , computer science , control (management) , mathematics , physics , artificial intelligence , statistics , quantum mechanics , operating system

This study focuses on the finite‐time (FT) H 2 / H ∞ control problem for linear Itô‐type stochastic Markovian jump systems (SMJS). According to the characteristics of SMJS, a mode‐dependent approach (MDA) is provided. Through MDA, state feedback and observer‐based FT H 2 / H ∞ controllers are designed. Compared with the mode‐independent approach, the advantages of MDA are clearly shown. In the sequel, two new optimisation algorithms for deriving the optimal FT H 2 / H ∞ controller are proposed. Finally, a numerical example is utilised to show the merits of the obtained results.

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