An analytical solution for designing the optimal parameters of dynamic vibration absorbers attached to the damped main system is found to be difficult and complicated. In this paper, the adaptive multiswarm particle swarm optimization is applied to parameter optimization, and the numerical solutions of the system are given for the damped main system under sinusoidal force excitation.

Eliminating the hysteresis effect is highly desired in harmonic drive, which results in challenges in the control design. In this paper, we construct a new compound optimal controller to improve the compensational effect of hysteresis torque. The new controller is proposed based on the optimal theory and the linearization of nonlinear system. Numerical simulation shows that this new controller can track the complex reference trajectory with a relative error less than 1%.

In this research the motion planning problem for systems that admit a polynomial description of the system dynamics through differential flatness is tackled by parameterizing the system's so-called flat output as a piecewise polynomial. Sufficient conditions on the spline coefficients are derived ensuring satisfaction of the operating constraints over the entire time horizon and an intuitive relaxation is proposed to tackle conservatism.