Stability, controllability and observability of linear matrix-second-order systemsThe stability, controllability and observability of lightly damped linear mechanical systems are considered and 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.
Document ID
19800040060
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Hughes, P. C. (Purdue Univ. West Lafayette, IN, United States)
Skelton, R. E. (Purdue University West Lafayette, Ind., United States)