New method for pole assignment in engineering problems

This paper proposes POM (Parameter Oscillation Method) as a first step towards overcoming the difficulty in reduction of flutter in helicopter vibration. The flutter of helicopter may be simulated as oscillation of a group of systems. According to vibration control theory, reducing flutter of helicopter is equivalent to making the system to be vibrationally stabilizable. To bypass the necessity of on-line measurements is equivalent to avoidance of the necessity of measuring the states of the system. This avoidance is achieved through introducing APAZ (almost periodic vector with the average value equal to zero) signals into the system to get another system. Applying Bogoloubov's averaging principle and using transform formulas the corresponding averaging system was obtained.