Balancing and model reduction for second-order form linear systems

摘要: Model reduction of second-order form linear systems is considered where a reduced model desired, The focus on methods that employ or mimic Moore's balance and truncate (1981). First, we examine by conversion to first-order obtain complete solution for this problem. Then, new Gramians input/output (I/O) invariants are motivated defined. Based these, direct balancing developed. This leads naturally analogs the well-known method. Explicit algorithms given throughout paper.