On the synthesis of robust multiple-model adaptive controllers (RMMAC) using BMI/LPV controllers

作者: P. Rosa , G. J. Balas , C. Silvestre , M. Athans

DOI: 10.23919/ECC.2009.7074643

关键词:

摘要: This paper addresses the design of robust multiple model adaptive controllers (RMMAC) for linear parameter varying (LPV) systems using bilinear matrix inequalities (BMI). We show a novel method that allows increasing performance RMMAC when uncertain parameters system dynamics are time-varying (TV). assume these TV cannot be measured on-line and only information available is on corresponding slope variation bound admissible range. A comparison between mixed-μ BMI/LPV presented benefits this new approach assessed set Monte-Carlo simulation runs. The decrease RMS error due to use serves as an indicator improvements methodology. An increase 20% in terms obtained case study presented.

参考文章(19)
K Glover, JC Doyle, GJ Balas, R Smith, A Packard, μ-analysis and synthesis toolbox: for use with Matlab The MathWorks Inc.. ,(1994)
P.M. Young, Controller design with mixed uncertainties advances in computing and communications. ,vol. 2, pp. 2333- 2337 ,(1994) , 10.1109/ACC.1994.752496
M. Chilali, P. Gahinet, H/sub /spl infin// design with pole placement constraints: an LMI approach IEEE Transactions on Automatic Control. ,vol. 41, pp. 358- 367 ,(1996) , 10.1109/9.486637
Advances in linear matrix inequality methods in control Society for Industrial and Applied Mathematics. ,(2000) , 10.1137/1.9780898719833
O. Toker, H. Ozbay, On the NP-hardness of solving bilinear matrix inequalities and simultaneous stabilization with static output feedback advances in computing and communications. ,vol. 4, pp. 2525- 2526 ,(1995) , 10.1109/ACC.1995.532300
Sajjad Fekri, Michael Athans, Antonio Pascoal, Robust multiple model adaptive control (RMMAC): a case study International Journal of Adaptive Control and Signal Processing. ,vol. 21, pp. 1- 30 ,(2007) , 10.1002/ACS.944
Michal Kočvara, Michael Stingl, PENNON: A code for convex nonlinear and semidefinite programming Optimization Methods & Software. ,vol. 18, pp. 317- 333 ,(2003) , 10.1080/1055678031000098773
Fen Wu, Xin Hua Yang, Andy Packard, Greg Becker, Induced L2‐norm control for LPV systems with bounded parameter variation rates International Journal of Robust and Nonlinear Control. ,vol. 6, pp. 983- 998 ,(1996) , 10.1002/(SICI)1099-1239(199611)6:9/10<983::AID-RNC263>3.0.CO;2-C
Bong Wie, Dennis S. Bernstein, Benchmark problems for robust control design Journal of Guidance Control and Dynamics. ,vol. 15, pp. 1057- 1059 ,(1992) , 10.2514/3.20949
Sajjad Fekri, Michael Athans, Antonio Pascoal, Issues, progress and new results in robust adaptive control International Journal of Adaptive Control and Signal Processing. ,vol. 20, pp. 519- 579 ,(2006) , 10.1002/ACS.912