Flexible optimization-based approach for linear and nonlinear robust control design

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In this project, we have obtained very important results for design of linear and nonlinear robust controls. Namely,(i) New linear matrix inequality (LMI) based optimization formulation for multi-criterion robust filtering.(ii) New LMI characterizations for H_2 norm and H_∞ norm for 2-D systems. Based on them, new LMI formulations for robust filtering for 2-D systems are given(iii) New development for H_2 and H_∞ controls of nonlinear parameter-varying systems (NPV)(iv) New design for adaptive controls for plants with nonlinear parameterizations.