Mutual Suppression of Oscillations for Coupled Mechanical Structures Based on Two-Objective Control

The article explores the concept of controlling elastic mechanical bodies to reduce structural responses in the presence of external disturbances. It proposes using a device that implements smart control based on state feedback as a connecting mechanism. The paper outlines an approach to solving control problems by addressing multi-criteria issues. This approach involves using a generalized H2-norm to describe the criteria. We introduce mathematical models for mechanical constructions, including single-mass and multi-mass systems. Mutual suppression of oscillations for a coupled mechanical structures is considered as two-objective control problem. There is presented a method for solving this two-objective control problem based on linear matrix inequalities (LMIs). The results of smart control calculations demonstrating its feasibility are discussed. The comparison of these results with those obtained using a simple isolator is given. To perform calculations and demonstrate the results, we use MATLAB software using the SDPT3 and YALMIP libraries.