Abstract
Incorporating the disturbance frequency into system analysis and synthesis, this paper is dedicated to the quantized H∞ static output control of linear Markov jump systems. The output quantization is transformed into a sector bound form, and the finite frequency performance is handled by Parseval's theorem. With the aid of Finsler's lemma, sufficient conditions for the resulting closed-loop system are first established to satisfy the required finite frequency performance. To treat the static output feedback control problem in the framework of linear matrix inequalities, a new strategy is developed to decompose the coupling among Lyapunov variables, controller gain, and system matrices. In contrast to the existing results in the literature, no additional assumptions are imposed on the system matrices. Numerical examples are presented to demonstrate the validity of the established results.
Original language | English |
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Article number | 8294300 |
Journal | IEEE Transactions on Systems, Man, and Cybernetics: Systems |
Volume | 49 |
Issue number | 9 |
DOIs | |
Publication status | Published - 2019 Sept |
Bibliographical note
Publisher Copyright:© 2018 IEEE.
Keywords
- Finite frequency
- Markov jump system (MJS)
- quantization
- static output feedback
ASJC Scopus subject areas
- Software
- Control and Systems Engineering
- Human-Computer Interaction
- Computer Science Applications
- Electrical and Electronic Engineering