In practical applications, for highly nonlinear systems, how to implement control tasks dynamic systems with uncertain parameters is still a hot research issue. Aiming at the internal parameter fluctuations and external unknown disturbances in system, this paper proposes an adaptive terminal sliding mode (ADTSMC) based on finite-time disturbance observer (FTDO) systems. A designed compensate un...

A complete analytic solution for the time-optimal control problem nonlinear systems of form $\dot x_1=u$, x_j=x_1^{j-1}$, $j=2,\ldots,n$, is obtained arbitrary~$n$. In paper we present following surprising observation: this optimality leads to a truncated Hausdorff moment problem, which gives tools finding optimal time and controls. Being homogeneous, mentioned system approximates certain class...

Principal component analysis (PCA) and kernel PCA allow the decorrelation of data with respect to a basis that is found via variance maximization. However, these techniques are based on pointwise correlations. Especially in context time series this not optimal. We present novel generalization allows imprint any desired correlation pattern. Thus proposed method can be used incorporate previously...