An approach to extend classical robustness margins to linear parameter varying (LPV) systems is presented. LPV systems are often used to model aircraft dynamics that are highly dependent on the operating conditions such as altitude and airspeed. Classical gain and phase margins are evaluated in the frequency domain and therefore cannot be applied to LPV systems. The proposed approach is based o...

Existing control theory for linear parameter-varying systems uses a uniform-in-the-parameters upper bound (a constant scalar) on the induced-L 2 norm. In this paper, this constant is generalized to a function of the parameters; the performance criterion generalizes to an integral quadratic constraint and implies a norm bound that depends naturally on the real-time parameter trajectory. As in ex...

We study families of time-varying linear systems with restrictions on the derivative of the parameter variation. This includes the systems usually considered in the area of linear parameter varying (LPV) systems. We show that it is possible to construct exact parameterized Lyapunov norms for a wide class of such systems. This may be used to derive (locally Lipschitz) continuous dependence of th...

This paper extends existing results on a technique for gain-scheduled, L 2-gain control of linear parameter-varying (LPV) systems with bounded rates of variation. Speciically, it introduces the use of both memoryless and dynamic (i.e., ltered) parameter measurements when the parameters' accelerations are bounded. Information from the ltered parameter signal can be used to reduce the conservatis...

Based on the extension of behavioral theory and Fundamental Lemma for Linear Parameter-Varying (LPV) systems, this paper introduces a Data-driven Predictive Control (DPC) scheme capable to ensure reference tracking satisfaction Input-Output (IO) constraints an unknown system under conditions that (i) can be represented in LPV form (ii) informative data-set containing measured IO scheduling traj...

EDITORIAL article Front. Control Eng., 18 August 2022Sec. and Automation Systems Volume 3 - 2022 | https://doi.org/10.3389/fcteg.2022.970136