A differential game problem-plant with zeros in transfer function

Abstract

A differential game approach has been applied to a plant whose dynamics are represented by y +cy + dy = u + b₁u + b₀u-α (v+a₀v). Control u and noise signal v both are bounded (|u| ≤ 1,|v| ≤ 1). Performance criterion is ∫^T₀ dt. Two target sets have been found; but one is a sub-set of the other. In the absence of noise, by control theory, the problem becomes that of time optimal control of a plant with zeros in transfer function.