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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coordinate transformation matrix ctm iterative strategy cone complementarity linearization method span classinlineequation idieq3hinfty span staticoutputfeedback control of twodimensional discrete systems

Li Xu,Zhi-Yong Feng,.Optimization of coordinate transformation matrix for $$H_{\infty }$$ H ∞ static-output-feedback control of 2-D discrete systems in FM second model. 29 (4),1727–1737.

Li Xu,Zhi-Yong Feng,"Optimization of coordinate transformation matrix for $$H_{\infty }$$ H ∞ static-output-feedback control of 2-D discrete systems in FM second model" 29

Li Xu,Zhi-Yong Feng,"Optimization of coordinate transformation matrix for $$H_{\infty }$$ H ∞ static-output-feedback control of 2-D discrete systems in FM second model"