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| A characteristic modeling method of error-free compression for nonlinear systems |
| BinMeng,Yun-BoZhao,Jing-JingMu |
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| (Science and Technology on Space Intelligent Control Laboratory, Beijing Institute of Control Engineering, Beijing, China;Department of Automation, University of Science and Technology of China, Beijing, China;China Aerospace Science and Technology Corporation, Beijing, China) |
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| DOI：https://doi.org/10.1007/s11768-021-00052-0 |
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| 基金项目:This work was supported by the National Key R&D Program of China (Grant Nos. 2018YFA0703800 and 2018AAA0100800), the Science and Technology on Space Intelligent Control Laboratory Foundation of China (Grant No. ZDSYS-2018-04) and the National Natural Science Foundation of China (Grant Nos. U20B2054 and 51805025). |
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| A characteristic modeling method of error-free compression for nonlinear systems |
| Bin Meng,Yun-Bo Zhao,Jing-Jing Mu |
| (Science and Technology on Space Intelligent Control Laboratory, Beijing Institute of Control Engineering, Beijing, China;Department of Automation, University of Science and Technology of China, Beijing, China;China Aerospace Science and Technology Corporation, Beijing, China) |
| Abstract: |
| The existence of error when compressing nonlinear functions into the coefficients of the characteristic model is known to be
a key issue in existing characteristic modeling approaches, which is solved in this work by an error-free compression method.
We first define a key concept of relevant states with corresponding compressing methods into their coefficients, where the
coefficients are continuous and bounded and the compression is error-free. Then, we give the conditions for decoupling
characteristic modeling for MIMO systems, and sequentially, we establish characteristic models for nonlinear systems with
minimum phase and relative order two as well as the flexible spacecrafts, realizing the equivalence in the characteristic model
theory. Finally, we explicitly explain the reasons for normalization in the characteristic model theory. |
| Key words: Characteristic modeling · Relevant states · Error-free compression · Flexible spacecraft · Normalization |
