Qualitative Results for Distributed Systems with Discrete and Stiffness with Application to Control.
Abstract
Distributed parameter models of large flexible space structures subject to various control techniques have been studied. The main thrust has been to develop qualitative results which are independent of truncation of discretization approaches by treating the fully distributed model. Emphasis has been on controlling the transcient response of non-conservative linear partial differential equation models of such structures subject to a few point actuators. inequalities have been developed between the stiffness and damping operators which when satisfied guarantee that the response of a selfadjoint system will be uniformly exponentially stable. In addition, it has been shown that the inequalities insure that finite dimensional versions of the control problem converge to an optimal control of the fully distributed system subject to compact feedback as the number of modes in the finite model increases. The inequality developed constitues a generalization of the concept of underdamping normally used with single degree of freedom systems and provides a physical interpretation of the result.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 26, 1985
- Accession Number
- ADA168622
Entities
People
- Daniel J Inman
Organizations
- University at Buffalo