Factorised H_∞ control of nonlinear systems

References

• Åström , KJ . 1979 . Introduction to Stochastic Control Theory , London : Academic Press .
   Google Scholar
• Atherton , DP . 1982 . Nonlinear Control Engineering , New York : Van Nostrand Reinhold .
   Google Scholar
• Bongers , P . (1994), ‘Modeling and Identification of Flexible Wind Turbines and a Factorization Approach to Robust Control’, Ph.D., thesis, Delft University of Technology, Netherlands
   Google Scholar
• Boukhezzar , B and Siguerdidjane , H . 2004 . Robust Multi-objective Control of a Variable Speed Wind Turbine , Milan , , Italy : EWEC .
   Google Scholar
• Casavola , A . and Mosca, E. (1989), ‘On the Polynomial Solution of the H∞ Generalized Sensitivity Minimization Problem’, in Proceedings of the 29th Conference on Design and Control, Tampa, FL, pp. 1500–1505
   Google Scholar
• Clark , DW and Hastings-James , R . 1971 . Design of Digital Controllers for Randomly Disturbed Systems . Proceedings of IEE , 118 : 1502 – 1506 .
   Google Scholar
• Connor , D . Iyer, S.N., Leithead, W.E., and Grimble, M.J., (1992), ‘Control of Horizontal Axis Wind Turbine Using H∞ Control’, in IEEE Conference on Control Applications, Dayton, Ohio, USA
   Google Scholar
• Doyle , JC , Glover , K , Khargonekar , PP and Francis , BA . 1989 . State-space Solutions to Standard H 2 and H ∞ Control Problems . IEEE Transactions on Automatic Control , 34 : 831 – 846 .
   Web of Science ®Google Scholar
• Ekelund , T . ‘Modelling and Linear Quadratic Optimal Control of Wind Turbines’, Ph.D. thesis, Chalmers University of Technology, Sweden, April 1997
   Google Scholar
• Francis , BA . 1987 . Lecture Notes in Control and Information Sciences: A Course in H _∞ Control Theory , New York : Springer .
   Google Scholar
• Glover , K and McFarlane , D . 1989 . Robust Stabilization of Normalized Coprime Factor Plant Descriptions with H ∞ Bounded Uncertainty . IEEE Transactions on Automatic Control , 34 : 821 – 830 .
   Web of Science ®Google Scholar
• Grimble , MJ . 1981 . A Control Weighted Minimum-variance Controller for Non-minimum Phase Systems . International Journal of Control , 33 : 751 – 762 .
   Web of Science ®Google Scholar
• Grimble , MJ . 1986 . Optimal H∞ Robustness and the Relationship to LQG Design Problems . International Journal of Control , 43 : 351 – 372 .
   Web of Science ®Google Scholar
• Grimble , MJ . 1987a . H∞ Robust Controller for Self-tuning Control Applications. Part 1: Controller Design . International Journal of Control , 46 : 1429 – 1444 .
   Web of Science ®Google Scholar
• Grimble , MJ . 1987b . H∞ Robust Controller for Self-tuning Control Applications, Part 2: Self-tuning and Robustness . International Journal of Control , 46 : 1819 – 1840 .
   Web of Science ®Google Scholar
• Grimble , MJ . 1988 . Generalized Minimum-variance Control Law Revisited . Optimal Control Applications and Methods , 9 : 63 – 77 .
   Web of Science ®Google Scholar
• Grimble , MJ . 1993 . H∞ Multivariable Control Law Synthesis . IEE Proceedings of Control Theory and Applications , 140 : 353 – 363 .
   Google Scholar
• Grimble , MJ . (2004a), ‘GMV Control of Nonlinear Multivariable Systems’, in UKACC Conference Control, University of Bath, 6–9 September
   Google Scholar
• Grimble , MJ . 2004b . Robustness of Full-order and Restricted Structure Optimal Control Systems . International Journal of Systems Science , 35 : 375 – 388 .
   Web of Science ®Google Scholar
• Grimble , MJ . 2005 . Non-linear Generalised Minimum Variance Feedback, Feedforward and Tracking Control . Automatica , 41 : 957 – 969 .
   Web of Science ®Google Scholar
• Grimble , MJ . 2006 . Robust Industrial Control Systems , Chichester : Wiley .
   Google Scholar
• Grimble , MJ . (2011), ‘Factorized NGMV Control of Nonlinear Systems’, Industrial Control Centre Report, ICC-240, University of Strathclyde
   Google Scholar
• Grimble , MJ . and Majecki, P. (2005), ‘Nonlinear Generalised Minimum Variance Control Under Actuator Saturation’, in IFAC World Congress, Prague, Friday, 8 July
   Google Scholar
• Grimble , MJ . and P. Majecki, (2006), ‘H∞ Control of Nonlinear Systems with Common Multi-channel Delays’, in American Control Conference, Minneapolis, MN, pp. 5626–5631
   Google Scholar
• Hastings-James , R . (1970), ‘A Linear Stochastic Controller for Regulation of Systems with Pure Time Delay’, Research Report No. CN/70/3, University of Cambridge, Department of Engineering
   Google Scholar
• Kwakernaak , H . (1984), ‘Minimax Frequency Domain Optimization of Multivariable Linear Feedback Systems’, in IFAC World Congress, Budapest, Hungary
   Google Scholar
• Kwakernaak , H . (1985), ‘Minimax Frequency Domain Performance and Robustness Optimization of Linear Feedback Systems’, IEEE Transactions on Automatic Control, AC-30, 994–1004
   Google Scholar
• Kwakernaak , H . 1986 . A Polynomial Approach to Minimax Frequency Domain Optimization of Multivariable Feedback Systems . International Journal of Control , 44 : 117 – 156 .
   Web of Science ®Google Scholar
• Leithead , WE , DeLaSalle , S and Reardon , D . 1991 . Role and Objectives of Control of Wind Turbines . IEE Proceedings Part C , 138 : 135 – 148 .
   Google Scholar
• McFarlane , D and Glover , K . 1990 . Robust Controller Design Using Normalised Coprime Factor Plant Descriptions , Berlin : Springer Verlag .
   Google Scholar
• Novak , P , Ekelund , T , Jovilk , I and Schmidtbauer , B . 1995 . Modeling and Control of Variable Speed Wind Turbine Drive Systems Dynamics . IEEE Control Systems Magazine , 15 : 28 – 38 .
   Web of Science ®Google Scholar
• Safonov , MG and Limebeer , DJN . (1988), ‘Simplifying the H ∞ Theory via Loop Shifting’, in Proceedings of the IEEE Conference on Design and Control, Austin, Texas, USA
   Google Scholar
• Steinbuch , M . (1989), ‘Dynamic Modelling and Robust Control of a Wind Energy Conversion System’, Ph.D. thesis, Delft University of Technology, Netherlands
   Google Scholar