ON THE SYNTHESIS OF OPTIMUM MULTIVARIABLE SYSTEMS,
Abstract
A system with a feedback configuration is con sidered and this system is represented by an equivalent cascade system. Two independent transfer matrices represented in the cascade system are first synthesized. The transfer matrices in the feedback configuration are then solved from the transfer matrices in the cascade system. There is chosen one of the transfer matrices in the cascade system to minimize the effect of certain disturbances in the system outputs and system sensitivity with respect to plant parameter variations. Also, system stability and physical realizability of the controllers in the feedback configuration are considered in the choice of this transfer matrix. The other transfer matrix will be chosen to minimize a performance index with a constraint. The performance index to be minimized is the sum of the weighted M.S.E. and I.S.E respectively for systems with random and deterministic signals. The constraints to be satisfied are the sum of the mean-squared and integral-squared value of some function of plant inputs respec tively for systems with random and deterministic signals. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1963
- Accession Number
- AD0418160
Entities
People
- Ramakrishna Narayanasamy
Organizations
- University of Illinois Urbana–Champaign