Robust partial pole assignment problem for high order control systems

In this paper, we consider the partial pole assignment problem (PPAP) for high order control systems. It is shown that solving the PPAP is essentially solving a pole assignment for a linear system of a much lower order, and the robust PPAP is then concerning the robust pole assignment problem for this linear system. Based on this theory, a rather simple algorithm for solving the robust PPAP is proposed, and numerical examples show that this algorithm does lead to comparable results with earlier algorithms, but at much lower computational cost.

[1]  Wen-Wei Lin,et al.  Partial pole assignment for the vibrating system with aerodynamic effect , 2004, Numer. Linear Algebra Appl..

[2]  Andras Varga,et al.  Robust pole assignment via Sylvester equation based state feedback parametrization , 2000, CACSD. Conference Proceedings. IEEE International Symposium on Computer-Aided Control System Design (Cat. No.00TH8537).

[3]  B. Datta,et al.  A sylvester-equation based parametric approach for minimum norm and robust Partial Quadratic Eigenvalue Assignment Problems , 2007, 2007 Mediterranean Conference on Control & Automation.

[4]  Alan J. Laub,et al.  Controllability and observability criteria for multivariable linear second-order models , 1984 .

[5]  Shufang Xu,et al.  An Introduction to Inverse Algebraic Eigenvalue Problems , 1999 .

[6]  Willis Lin,et al.  Robust and minimum gain partial pole assignment for a third order system , 2003 .

[7]  R. E. Clemmons,et al.  Dynamic loads analysis system (DYLOFLEX) summary. Volume 1: Engineering formulation , 1979 .

[8]  A. Varga,et al.  A numerically reliable approach to robust pole assignment for descriptor system , 2003, Future Gener. Comput. Syst..

[9]  Jiang Qian,et al.  Robust partial eigenvalue assignment problem for the second-order system , 2005 .

[10]  Jiang Qian,et al.  Orthogonal basis selection method for robust partial eigenvalue assignment problem in second-order control systems , 2008 .

[11]  Biswa Nath Datta,et al.  Numerically robust pole assignment for second-order systems , 1996 .

[12]  Jiang Qian,et al.  The formulation and numerical method for partial quadratic eigenvalue assignment problems , 2011, Numer. Linear Algebra Appl..

[13]  Daniel W. C. Ho,et al.  A new algorithm for an eigenvalue assignment problem from singular control theory , 2002, IEEE Trans. Autom. Control..

[14]  Wen-Wei Lin,et al.  Robust Partial Pole Assignment for Vibrating Systems With Aerodynamic Effects , 2006, IEEE Transactions on Automatic Control.