A Multi-Spectral Approach to Fuzzy Quantum Modelling of Nonlinear Systems

In this work, we explore multi-input multi-output (MIMO) nonlinear control systems design by generalizing concepts from radio link analysis. We demonstrate practical applications of multidimensional sampling and reconstruction to reducing computational overhead in nonlinear systems analysis. Using multi-spectral analysis, we show that (de)fuzzification in control systems and (de)modulation in communication systems are analogous. Finally, we explore the values of fuzzy submodels as quantum mechanics objects for stability analysis and feedback controller synthesis of nonlinear mechanical systems. The effectiveness of the proposed approach is confirmed by simulating the attitude model a telecommunications satellite.