TY - GEN
T1 - A mixed sensitivity optimization design for a benchmark control problem
AU - Yang, Jiann Shiou
PY - 2010
Y1 - 2010
N2 - This paper explores a numerical approach of a mixed H2 sensitivity optimization technique to re-design a robust controller for the Grumman F-14 aircraft, one of the IEEE Control Systems Society's benchmark control problems. By operating in the Discrete Fourier Transform (DFT) domain, we convert the H2 control problem into a constrained vector minimization problem in the l2-space. A two-stage solution approach is detailed and the controller is then constructed. The advantage of using the proposed method is that the l2-space solution can be analytically expressed and efficiently calculated via existing multichannel algorithms due to the partially block circular structure of the matrices involved in the DFT domain. The approximation can be made arbitrarily close to the original H2 control problem if the number of the DFT points is large. The simulation results are presented to demonstrate the proposed method.
AB - This paper explores a numerical approach of a mixed H2 sensitivity optimization technique to re-design a robust controller for the Grumman F-14 aircraft, one of the IEEE Control Systems Society's benchmark control problems. By operating in the Discrete Fourier Transform (DFT) domain, we convert the H2 control problem into a constrained vector minimization problem in the l2-space. A two-stage solution approach is detailed and the controller is then constructed. The advantage of using the proposed method is that the l2-space solution can be analytically expressed and efficiently calculated via existing multichannel algorithms due to the partially block circular structure of the matrices involved in the DFT domain. The approximation can be made arbitrarily close to the original H2 control problem if the number of the DFT points is large. The simulation results are presented to demonstrate the proposed method.
KW - Discrete Fourier Transform
KW - L -normed vector minimization
KW - Markov parameters
KW - Mixed H sensitivity minimization
KW - Robust control
UR - http://www.scopus.com/inward/record.url?scp=77956031813&partnerID=8YFLogxK
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U2 - 10.1109/ICIEA.2010.5515229
DO - 10.1109/ICIEA.2010.5515229
M3 - Conference contribution
AN - SCOPUS:77956031813
SN - 9781424450466
T3 - Proceedings of the 2010 5th IEEE Conference on Industrial Electronics and Applications, ICIEA 2010
SP - 738
EP - 743
BT - Proceedings of the 2010 5th IEEE Conference on Industrial Electronics and Applications, ICIEA 2010
T2 - 5th IEEE Conference on Industrial Electronics and Applications, ICIEA 2010
Y2 - 15 June 2010 through 17 June 2010
ER -