Transforming Non-autonomous Systems to P-normal Forms: an Approach to Reduce the Computation Loads of Cyber-Physical Systems
- Authors
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Duan Zhang
Zhejiang University of Technology, No. 288, Liuhe Road, Westlake district 310023, Hangzhou, Zhejiang, China
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Xiongxiong He
Zhejiang University of Technology, No. 288, Liuhe Road, Westlake district 310023, Hangzhou, Zhejiang, China
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- Abstract
- A key purpose of studying the problem of equivalence between two control systems is to transform a complex nonlinear system to a simple system whose controller is easy to realize real-time response in cyber-physical systems. Using the theories of singular distributions, necessary and sufficient conditions under which single-input non-autonomous systems are feedback equivalent to non-autonomous low-triangular systems. Moreover, we presented a necessary and sufficient condition under which single-input non-autonomous systems are feedback equivalent to non-autonomous p-normal forms, which are special cases of low-triangular systems. Two examples are given to illustrate how to realize those equivalent transformations via state feedback and coordinate transformation.
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- Published
- 2011-09-26
- Issue
- Vol. 13 No. 3 (2011)
- Section
- Articles