Characteristic model for multi-input-multi-output nonlinear systems and its application in flexible satellite attitude control
多输入–多输出非线性系统的特征模型及在挠性卫星姿态控制中的应用

The characteristic modeling is investigated for multi-input and multi-output higher-order non-affine nonlinear systems. First, we prove that the characteristic model for the above systems can be expressed by a system of quadratic timevarying difference equations and estimate the characteristic modeling errors. Next, we design an adaptive fuzzy generalized predictive controller based on this characteristic model, and analyze the stability of the closed-system using Lyapunov method. Because hierarchical fuzzy logic systems are employed in the control architecture, the number of fuzzy rules and adjustable parameters in a fuzzy logic controller are reduced greatly, thus improving the real-time operation performances of the control. Finally, the results from the control simulation on a flexible satellite attitude validate that the proposed control scheme is effective and has the advantages of high steady-state precision and strong robustness.