Optimal control based on a modified quadratic performance index for systems disturbed by sinusoidal signals.

The problem of optimal control of systems disturbed by sinusoidal signals for infinite control time is considered. To evaluate the control laws, a modified mean-square performance index with an infinite control time was proposed. It is based on the proposed method for the decomposition of control signals on the interval from zero to infinity into the sum of sinusoidal components with selected frequencies and an additional auxiliary signal. The performance index was formulated in such a way that each sinusoidal component corresponds to a separate weight matrix. It was shown that there are infinitely many solutions for these optimization problems. Optimal control was selected in such a way that it should be independent of the state vector, and should depend only on the disturbance signal vector. The controller was synthesized for vibration reduction system. The paper presents results of numerical and laboratory studies of the designed vehicle active suspension system. [ABSTRACT FROM AUTHOR]