An approach to estimate the closed-loop poles distribution area of uncertain system

There exist a lot of uncertainties in the aircraft motion model, to give an effective clearance of the flight control system, this paper propose an approach to estimate the closed-loop poles distribution area of the flight control system with several perturbation parameters. Global sensitivity analysis is used as the pretreatment measure to find out the perturbation parameters which show obviously less influence on the flight control system than others, the uncertainty order is reduced by neglecting such parameters. And then, four kinds of typical regions are taken to find out the corresponding boundary parameters of the typical regions which make the uncertain system satisfy the robust D-stability conditions. By taking the intersection of the four typical regions, then we get the estimation of the closed-loop poles distribution area of the uncertain system. Monte Carlo simulation results show that the Global Sensitivity Analysis based closed-loop poles distribution area estimation approach this paper proposed can effectively estimate the actual distribution area of the uncertain system.

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