Robust gain-scheduling controller to LPV system using gap metric

The gain-scheduling was a good choice for dynamic systems whose operation range were very large, when the dynamic systems were turned into linear parameter varying systems (LPV) through appropriate states transform. The method of designing robust gain-scheduling to LPV system based on polytopic was studied, and a new scheduling strategy was proposed because of the conservatism of the scheduling strategy based on varying parameterpsilas position. The new scheduling strategy was based on gap metric. From simulation result, we can see that the new strategy can reduce overshoot by about 10%, and can reduce the controller maximal output by about 30%, and can restrain statespsila oscillation compared with the old strategy.