New results on the trade-off performance of LTI system with colored noise and encoder-decoder strategy |
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| Authors: | Baoxian Wang Yanli Lv Jigui Jian Xiaowei Jiang |
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| Institution: | 1. Three Gorges Mathematical Research Center, China Three Gorges University, Yichang 443002, PR China;2. College of Science, China Three Gorges University, Yichang 443002, PR China;3. School of Automation, China University of Geosciences, Wuhan 430074, PR China |
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| Abstract: | This paper studies the trade-off performance between tracking performance and control input energy of the multi-input multi-output(MIMO), linear and time-invariant(LTI) system over an additive coloured Gaussian noise(ACGN) channel and the encoder-decoder strategies. The restriction that filter in the encoder-decoder strategy must be diagonal matrix is not necessary. And some new results are derived according to the inner-outer factorization. The results show that the trade-off performance is correlated to the unstable pole, non-minimum phase zero of the system. Also new poles and zeros generated by the non-diagonal encoder-decoder strategies may affect the trade-off performance. At last, two examples with different filters and different encoder-decoder strategies are discussed to validate the conclusions. The various encoder-decoder strategies revealed by the simulations may enhance or deteriorate the trade-off performance proposed in this paper. |
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| Keywords: | Corresponding author at: Three Gorges Mathematical Research Center China Three Gorges University Yichang 443002 PR China |
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