Robust estimation of state vector coordinates in the controlled helicopter motion problem

The problem of finding H ∞ – a observer the state vector linear continuous non-stationary dynamical system with semi-infinite time functioning is considered. It assumed that mathematical model closed-loop deterministic an optimal regulator, found as result minimization quadratic quality criterion, known. For solving synthesis reduction to min-max control used. In this problem, minimum criterion sought by observer’s gain matrix, and maximum external influence, measurement noise, initial conditions. To solve extension principle applied sufficient optimality conditions are obtained requires choice auxiliary functions Krotov–Bellman type. As implementation procedure for choosing function using rules matrix differentiation, relations formulas best gains, well laws worst influences were obtained. We find solution coordinates estimation in presence limited disturbances measuring system. example, equations motion Raptor-type helicopter