Control of switched LPV systems using common Lyapunov function method and an F-16 aircraft application

Dimirovski, Georgi M. (Dogus Author) -- Conference full title: 2010 IEEE International Conference on Systems, Man and Cybernetics, SMC 2010; Istanbul; Turkey; 10 October 2010 through 13 October 2010This paper presents a controller design method for dealing with the induced ℒ2-norm problem for switched linear parameter-varying (LPV) systems. Considering the arbitrary switchings caused by the parameters varying, a common parameter-dependent Lyapunov function is employed to derive sufficient linear matrix ineqUality (LMI) conditions for the switched LPV systems. A family of LPV controllers are designed according to the LMI conditions, and each of them is suitable for the corresponding parameter region. The proposed switching LPV control method is applied to an F-16 aircraft longitudinal model and simulation results demonstrate the effectiveness of the approach