TO : HAVE-DASH-II M ISSILE BTT

In a multivariable servomechanism design, it is required that the output vector tracks a certain reference vector while satisfying some desired transient specifications, for this purpose a 2DOF control law consisting of state feedback gain and feedforward scaling gain is proposed. The control law is designed using block pole placement technique by assigning a set of desired Block poles in different canonical forms. The resulting control is simulated for linearized model of the HAVE DASH II BTT missile, numerical results are analyzed and compared in terms of transient response, gain magnitude, performance robustness, stability robustness and tracking. The suitable structure for this case study is then selected.

[1]  E.Y. Shapiro,et al.  Eigenstructure Assignment for Linear Systems , 1983, IEEE Transactions on Aerospace and Electronic Systems.

[2]  J.-F. Magni,et al.  Multimodel eigenstructure assignment in flight-control design , 1999 .

[3]  手島 通,et al.  Advanced control system , 1984 .

[4]  Kamel Hariche,et al.  On solvents and Lagrange interpolating λ-matrices , 1988 .

[5]  Tim Clarke,et al.  Output feedback eigenstructure assignment using a new reduced orthogonality condition , 2003 .

[6]  Kenneth M. Sobel,et al.  Eigenstructure Assignment for the Control of Highly Augmented Aircraft , 1988, 1988 American Control Conference.

[7]  Carl D. Meyer,et al.  Matrix Analysis and Applied Linear Algebra , 2000 .

[8]  Malika Yaici,et al.  On eigenstructure assignment using block poles placement , 2014, Eur. J. Control.

[9]  Tim Clarke,et al.  An extension to output-feedback eigenstructure assignment: Structuring controllers by exploiting unused design freedom , 2009, Int. J. Control.

[10]  Edgar Pereira.  Block eigenvalues and solutions of differential matrix equations , 2003 .

[11]  Chia-Chi Tsui,et al.  Robust Control System Design: Advanced State Space Techniques , 1996 .

[12]  F. R. Gantmakher.  The Theory of Matrices , 1984 .

[13]  Yuanqing Xia,et al.  Applied Control Systems Design , 2012 .

[14]  Peter Lancaster,et al.  Lambda-matrices and vibrating systems , 2002 .

[15]  Bernard Friedland,et al.  Advanced Control System Design , 1996 .

[16]  B. Moore.  On the flexibility offered by state feedback in multivariable systems beyond closed loop eigenvalue assignment , 1975, 1975 IEEE Conference on Decision and Control including the 14th Symposium on Adaptive Processes.

[17]  Edgar Pereira,et al.  On solvents of matrix polynomials , 2003 .

[18]  J. Beyens,et al.  Modern control theory (second edition) : William L. Brogan , 1988, Autom..

[19]  M. Fikar.  DECOUPLING CONTROL , 2011 .

[20]  P. Lancaster,et al.  Spectral analysis of matrix polynomials— II. The resolvent form and spectral divisors , 1978 .

[21]  James S. Thorp,et al.  Eigenstructure assignment by decentralized feedback control , 1993 .

[22]  William S. Levine,et al.  Control system advanced methods , 2011 .

[23]  Malika Yaici,et al.  On Solvents of Matrix Polynomials , 2014 .

[24]  Bachir Nail,et al.  On Block roots of matrix polynomials based MIMO control system design , 2015, 2015 4th International Conference on Electrical Engineering (ICEE).

[25]  Leiba Rodman,et al.  Spectral analysis of matrix polynomials— I. canonical forms and divisors , 1978 .

[26]  Olivier Bachelier,et al.  On Pole Placement via Eigenstructure Assignment Approach , 2006, IEEE Transactions on Automatic Control.

[27]  Peter Lancaster,et al.  The theory of matrices , 1969 .

[28]  M. V. Cook.  Flight Dynamics Principles , 1997 .

[29]  Zdzislaw Bubnicki,et al.  Modern Control Theory , 2005 .

[30]  Leang S. Shieh,et al.  Transformations of solvents and spectral factors of matrix polynomials, and their applications† , 1981 .

[31]  Katsuhiko Ogata,et al.  Modern Control Engineering , 1970 .