Hankel-type model reduction based on frequency response matching

Abstract

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A Multi-Model Approach to Design a Robust SVC Damping Controller Using Convex Optimization Technique to Enhance the Damping of Inter-Area Oscillations Considering Time Delay

“…The new techniques are presented in [10] [11] and show how to design a robust controller for multi-model uncertainty using H 2 and H ∞ under pole placement; however, these techniques require reducing the order of the plant model. performance of the reduced model is identical to the original one [12] [13]. As a result, there is a loss of information.…”

Nu-Gap Model Reduction in the Frequency Domain

“…Is the described set big enough to provide any improvement at all? This question was studied in [19] and [20], besides the mentioned work [8]. The results for low orders as 2 and 3 are colorfully illustrated in [19].…”

“…To authors best knowledge, using the described formulation a meaningful convex relaxation is impossible. Therefore the two-step techniques proposed in [19] (developed in [8]) will be employed to address the problem. First, a so called "central" transfer function will be computed and then around it the solution will be constructed using semidefinite programming.…”

“…The technique applied to the program was introduced in [8]. Firstly, consider another program with only (3) as a constraint, rewriting (3) in the process as an infinite number of constraints:…”

“…Krylov/SVD ( [6]) is a trade-off framework, which is cheaper than SVD, and can guarantee stability. Another trade-off framework was developed in [7], [8], [9] it is based on frequency response matching and the semidefinite optimization techniques.…”