Robust H-2 Control of Linear Systems With Mismatched Quantization
- Authors
- Shen, Mouquan; Nguang, Sing Kiong; Ahn, Choon Ki; Wang, Qing-Guo
- Issue Date
- 4월-2019
- Publisher
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
- Keywords
- Linear matrix inequalities (LMIs); mismatched quantization; robust control
- Citation
- IEEE TRANSACTIONS ON AUTOMATIC CONTROL, v.64, no.4, pp.1702 - 1709
- Indexed
- SCIE
SCOPUS
- Journal Title
- IEEE TRANSACTIONS ON AUTOMATIC CONTROL
- Volume
- 64
- Number
- 4
- Start Page
- 1702
- End Page
- 1709
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/66457
- DOI
- 10.1109/TAC.2018.2856899
- ISSN
- 0018-9286
- Abstract
- This paper is concerned with the H-2, control of linear systems with multiple quantization channels. The quantization parameters of each channel are not required to be identical. The resultant mismatches are represented by polytopic uncertainties. A composite controller composed of linear and nonlinear parts is designed to meet the required H-2 performance and offset the quantization error. Resorting to a vertex separation technique and Finsler lemma instead of matrix inverse operations, new synthesis conditions for the desired linear part are derived in terms of linear matrix inequalities, which are further extended to treat systems with norm-bounded uncertainties. A comparison of conservativeness between the proposed methods and the existing ones is demonstrated by two numerical examples.
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