STABILITY, CONTROLLABILITY AND OBSERVABILITY OF LINEAR MATRIX-SECOND-ORDER SYSTEMS. Academic Article

abstract

• Having in mind the control of large flexible spacecraft, the authors consider the stability, controllability and observability of lightly damped linear mechanical systems. Gyroscopic effects (e. g. , control moment gyros) are also included. The structure of the equations is further specified to include both 'rigid' and 'elastic' modes, possibly coupled by gyroscopic terms. Stability and asymptotic stability results are summarized in two theorems. The special structure of the system equations permits a statement of the necessary and sufficient conditions for controllability and observability in terms of simple rank tests. Of great practical significance, the minimum number of actuators and sensors are among the necessary conditions derived. Natural definitions for modal controllability and observability are also evolved which give a direct indication of beneficial locations for actuators and sensors.

authors

• Skelton, Robert

published proceedings

• National Conference Publication - Institution of Engineers, Australia

author list (cited authors)

• Hughes, P. C., & Skelton, R. E.

complete list of authors

• Hughes, PC||Skelton, RE

publication date

• January 1979

published in

• National Conference Publication- Institution of Engineers Australia Ncp  Journal

start page

• 56

end page

• 62