Frequency domain design of reduced order observer based H-infinity controllers - a polynomial approach

摘要

In this paper a frequency domain solution of the singular H-infinity control problem, where kappa of the m measurements y(t)of the plant are not affected by disturbances, is considered. By applying the polynomial approach to the parameterization of state feedback and of reduced order observers the singular H-infinity control problem is solved for an nth order plant using a frequency domain representation of a reduced order observer based H-infinity controller of order n(-)kappa. This output feedback controller is directly calculated in the frequency domain by first solving the H-infinity state feedback problem and then solving the singular H-infinity filtering problem for a modified system model, which involves the J-spectral factorization of two polynomial matrix equations. The results presented are obtained by considering the time domain solution first providing good insight in the relations between the time and frequency domain approach to the solution of the singular H-infinity control problem using reduced order observer based controllers. [References: 19]