April 21, 2005
Linear parameter-varying (LPV) control theory is a systematic gain-scheduling technique with stability and performance guarantees. It is essentially an extension of H infinity control theory from linear time invariant (LTI) to LPV systems, and explicitly takes into account the relationship between real-time parameter variation and performance. The synthesis of LPV controllers can be formulated into solving a set of LMIs, which is a convex optimization problem and can be solved efficiently.
In the presentation, advanced LPV control methodologies are studied with particular applications of actuator saturation control and switching control. A standard two-step LPV anti-windup control scheme and a systematic switching LPV control approach are derived and applied to an F-16 longitudinal autopilot control system. Nonlinear simulations demonstrate that the proposed LPV control techniques improve the aircraft capability at high angle of attack and expand the flight envelope. The switching LPV control approach is also applied to an active magnetic bearing (AMB) system operating over a wide range of rotational speeds.