Optimal control of large space structures via generalized inverse matrix

Independent modal space control (IMSC) is a control scheme that decouples the space structure into n controlled modes and second-order subsystems according to n controlled modes and controls each mode independently. It is well known that IMSC eliminates control and observation spillover caused when the conventional coupled modal control scheme is used. The independent control of each mode requires that the number of actuators be equal to the number of modeled modes, which is very high for a faithful modelling of large space structures. The authors propose a control scheme that allows one to use a reduced number of actuators to control all modeled modes suboptimally. In particular, the method of generalized inverse matrices is used to implement the actuators so that the eigenvalues of the closed-loop system are as closed as possible to those specified by the optimal IMSC. Computer simulation of the proposed control scheme on a simply supported beam is given.<>