Robust Time-optimal Algorithm of Constrained Systems with Parametric Uncertainties

Algorithms for stabilizing the constrained systems are analyzed and designed based on model of the systems. Uncertainties of the model parameters will lead to the systems´ instability. The problem caused by the parametric uncertainties is analyzed with an example in this paper, and then the robust algorithm is proposed for solving such problem. With the robust algorithm proposed in this paper, the bounded parametric uncertainties on input matrix are transferred to external disturbance, and then the problems caused by the bounded parametric uncertainty on states matrix are solved with new formula for computing the level sets. Result of the simulation shows that by such algorithm, the system are stabilized and all the states can be steered to a small set and kept in it.