Optimal symmetric H{sub}2 controllers for systems with collocated sensors and actuators

摘要

This paper addresses the problem of designing the optimal symmetric H{sub}2 controller for a plant with collocated sensors and actuators but with possibly asymmetric disturbance injection and performance specification. For such a control problem, the generalized plant has a symmetric block representing the transfer matrix from the control input to the measured output. A complete solution to the optimal H{sub}2 control problem with the symmetric structural constraint is given in terms of the optimal solution to a standard H{sub}2 model matching problem without the constraint.