Back to Search
Start Over
Finite-time [formula omitted] control for linear Itô stochastic Markovian jump systems with Brownian motion and Poisson jumps.
- Source :
-
Systems & Control Letters . Jul2022, Vol. 165, pN.PAG-N.PAG. 1p. - Publication Year :
- 2022
-
Abstract
- This paper is concerned with the problems of finite-time H 2 / H ∞ control for linear stochastic Markovian jump systems (SMJSs) suffered from external disturbance and both Brownian motion and Poisson jumps. First, with the help of operator spectrum, a necessary and sufficient condition is given for the exact observability of SJMSs with Brownian motion and Poisson jumps, which is utilized to design observer-based controller. Second, a new differential inequality is constructed and the mode-dependent parameter approach (MDPA) is adopted, to obtain some less conservative results for the existence of state feedback and observer-based feedback finite-time H 2 / H ∞ controllers. Compared with the common parameter approach, the advantages of MDPA are clearly shown. Moreover, H 2 cost function under observer-based feedback proposed in this paper further considers the estimation errors on the basis of the states and estimations, which is more accurate than previous H 2 cost function. Third, two new design algorithms are proposed. One is to search the ranges of some design parameters, and the other is to show the relationship between H 2 and H ∞ performance indices. Finally, a detailed design example is given to illustrate the merits of the proposed results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01676911
- Volume :
- 165
- Database :
- Academic Search Index
- Journal :
- Systems & Control Letters
- Publication Type :
- Academic Journal
- Accession number :
- 157301280
- Full Text :
- https://doi.org/10.1016/j.sysconle.2022.105285