Stabilizing Controller Design for Linear Parameter-Varying Systems Using Parameter Feedback

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

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