Abstract
The problem of selecting a coordinate transformation matrix (CTM) for the \(H_{\infty }\) static-output-feedback control of two-dimensional discrete systems in the FM second model is an unsolved open problem. This brief aims to solve the problem. First, a cone complementarity linearization method is used to choose an initial CTM. Then, an iterative strategy is employed to optimize the choice of the CTM. A Numerical example is given to illustrate the effectiveness of the method.
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Acknowledgements
The authors would like to thank the anonymous reviewers for their constructive comments and suggestions which have led to a significant improvement of this brief. This work was supported by the National Natural Science Foundation of China under Grant 61503290, and partly by the Japan Society for the Promotion of Science (JSPS.KAKENHI15K06072).
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Feng, ZY., Xu, L. Optimization of coordinate transformation matrix for \(H_{\infty }\) static-output-feedback control of 2-D discrete systems in FM second model. Multidim Syst Sign Process 29, 1727–1737 (2018). https://doi.org/10.1007/s11045-017-0523-7
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DOI: https://doi.org/10.1007/s11045-017-0523-7