Dr. Bei Lu, April 28th
Linear Parameter-Varying Control Technique and Its Applications
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.
