Adaptive control for linear parameter-varying systems with application to a VTOL aircraft

As a systematic method for gain-scheduling, the linear parameter-varying (LPV) system framework has been widely used design of aerospace control systems with large operating envelopes. This paper presents and analysis an adaptive architecture LPV subject to time-varying parametric uncertainties external disturbances, both transient steady-state performance guarantees. We introduce new tools relying on parameter-dependent Lyapunov functions matrix inequality techniques stability analysis. These – limited potentially yield less conservative results than approach employed this in previous literature based small-gain theorem. The closed-loop system, terms input output signals, is quantified respect non-adaptive reference that depends true values represents best achievable performance. It shown bounds can be made arbitrarily small case zero initialization error state predictor will include additional exponentially decaying presence non-zero error. augmentation baseline system. A simulation example longitudinal dynamics conceptual Urban Air Mobility aircraft illustrate efficacy proposed framework.