Stabilizing controller design for linear parameter-varying systems using parameter feedback

A new design approach is presented for linear parameter-varying systems that utilizes real-time knowledge of the parameters to exponentially stabilize the closed-loop system for all parameter variations. By changing the system's coordinates to phase-variable canonical form, a parameter-dependent feedback controller can be constructed that renders the system dynamics to be time invariant and exponentially stable for all coordinates. If the original plant is uniformly controllable and/or observable and its parameters satisfy a certain smoothness and boundedness condition, then the closed-loop system is guaranteed stable for all allowable parameter values and rates of change. We discuss procedures for the design of stabilizing state feedback controllers, observers with stable error dynamics, and output feedback regulators. Examples based on a missile flight control problem illustrate the methods.