Unfalsified control based on the H_infinity controller parametrization

Abstract

This paper presents an implementation of the Unfalsified Control (UC) method using the Riccati-based parameterization of H-infinity controllers. The method provides an infinite controller set to (un)falsify the real-time data streams seeking for the best performance. Different sets may be designed to increase the degrees of freedom of the set of controller candidates to perform UC. In general, a set of m central controllers could be designed, each one seeking different objectives and all with their own parameterization as a function of a stable and bounded transfer matrix. For example, one controller parameterization could be designed to solve the robust stability of a model set which covers the physical system, therefore guaranteeing feasibility. The implementation requires the on-line optimization of either quadratic fractional or quadratic problems, depending on the selection of the cost function. A MIMO time-varying model of a permanent magnet synchronous generator illustrates the use of this technique