โ Scribed by Edward J. Davison
No coin nor oath required. For personal study only.
Necessary and sufficient conditions for feedforward control to exist in a linear multivariable system and an explicit feedforward controller are obtained, so that tracking when measurable disturbances are present occurs.
Summary--Necessary and sufficient conditions are derived for a stable feedforward control system to exist for a multivariable linear time-invariant system so that: (1) any measurable disturbances occurring in the system are asymptotically rejected, and (2) the outputs of the system asymptotically become equal to preassigned functions of a given class of outputs. The result may be interpretated as being a generalization of the single-input, single-output feedforward servo problem to multivariable systems or as being a solution to the asymptotic decoupling problem. Some numerical examples varying from 2nd to 9th order are included to illustrate the result.
๐ SIMILAR VOLUMES
Realistic feedforward-feedback controllers for large linear multivariable systems, in which both measurable and unmeasurable disturbances occur, may be systematically designed as illustrated with examples of a boiler system and a distillation column. Smnmary--A systematic design procedure for deter
An algorithm is developed to generate a class of matrices N which, when nonsingular, red& a co&a@ square matrix A by a kmilarit~ transfomnation C = NAN-l to the Cwnpanion form. The coeficients of the characteristic equation 1 s1 -A 1 = 0 are dkplayed in the last row of C: stability of the multivaria
Necessary and sufficient conditions are found for a feedback control system of minimum order to exist such that the outputs of the system are driven to zero for all constant external disturbances and such that the closed loop poles are specified. Summary--Necessary and sufficient conditions are der
## Feedback Invariants of Linear Multivariable Systems* Invariants de r6action des syst&nes lin6aires h variables multiples. Invarianten der Zustandsrtickftihrung bei linearen Mehrgr6Bensystemen l(IHBapI, IaHTbI o~paYHO~ CB~I314 MHOFOKOOp~I4HaTHblX YlI4HeHHblX CriCTeM