TY - GEN

T1 - A mixed sensitivity optimization design for a benchmark control problem

AU - Yang, Jiann-Shiou

PY - 2010/9/1

Y1 - 2010/9/1

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

UR - http://www.scopus.com/inward/citedby.url?scp=77956031813&partnerID=8YFLogxK

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 -