Eigenstructure Assignment in Reconfigurable Control Systems Eigenstructure Assignment in Reconfigurable Control Systems

An optimization approach to control reconnguration, based on eigenstructure assignment , for control systems with output feedback is presented. The emphasis is on the recovery of the nominal closed-loop performance, which is determined by the closed-loop eigenvalues and eigenvectors. The proposed scheme preserves the max(r; q) most dominant eigenvalues of the nominal closed-loop system and determines their associated closed-loop eigenvectors as close to the corresponding eigenvectors of the nominal closed-loop system as possible. Additionally, the stability of the remaining closed-loop eigenvalues is guaranteed by the satisfaction of an appropriate Lyapunov equation. The overall design is robust with respect to uncertainties in the state-space matrices of the reconngured system. The cases of state feedback and dymanic output feedback are also studied. The approach is applied to two aircraft control examples, where it is shown to not only preserve the shape of the transient response but recover much of the characteristics of the steady-state response as well.

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

[2]  Kenneth M. Sobel,et al.  Robust Lyapunov constrained sampled data eigenstructure assignment using the delta operator with application to flight control design , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[3]  S. Srinathkumar Eigenvalue/eigenvector assignment using output feedback , 1978 .

[4]  Michael Athans,et al.  The Matrix Minimum Principle , 1967, Inf. Control..

[5]  Guo-Ping Liu,et al.  Robust control design via eigenstructure assignment, genetic algorithms and gradient-based optimisation , 1994 .

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

[7]  K. Sobel,et al.  Application of Eigenstructure Assignment to Flight Control Design: Some Extensions , 1987 .

[8]  Kenneth M. Sobel,et al.  Eigenstructure assignment for the control of highly augmented aircraft , 1989 .

[9]  Panos J. Antsaklis,et al.  Arbitrary pole placement using linear output feedback compensation , 1977 .

[10]  R. J. Patton,et al.  MULTIOBJECTIVE CONTROLLER DESIGN USING EIGENSTRUCTURE ASSIGNMENT AND THE METHOD OF INEQUALITIES , 1994 .

[11]  E. Shapiro,et al.  Application of eigensystem assignment to lateral translation and yaw pointing flight control , 1984, The 23rd IEEE Conference on Decision and Control.

[12]  J. Calvo-Ramon Eigenstructure assignment by output feedback and residue analysis , 1986 .

[13]  Kenneth M. Sobel,et al.  Eigenstructure assignment with gain suppression using eigenvalue and eigenvector derivatives , 1990 .

[14]  S. Srinathkumar Spectral characterization of multi-input dynamic systems , 1976 .

[15]  Jin Jiang,et al.  Design of reconfigurable control systems using eigenstructure assignments , 1994 .

[16]  J. R. Cloutier,et al.  Lyapunov-constrained eigenstructure assignment for the design of robust mode-decoupled roll-yaw missile autopilots , 1992, [Proceedings 1992] The First IEEE Conference on Control Applications.

[18]  Panos J. AntsaklisDepartment Design of Output Feedback Controllers for Robust Stability and Optimal Performance of Discrete-Time Systems , 1994 .

[19]  Kenneth M. Sobel,et al.  Robust Eigenstructure Assignment with Structured State Space Uncertainty , 1991 .

[20]  Kenneth M. Sobel,et al.  An extension to the pseudo control strategy with application to an eigenstructure assignment yaw pointing/lateral translation control law , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[21]  P. Antsaklis,et al.  Optimal design of robust controllers for uncertain discrete-time systems , 1996 .

[22]  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.

[23]  K. Sobel,et al.  Flight control examples of robust eigenstructure assignment , 1987, 26th IEEE Conference on Decision and Control.