deposit_your_work

DESIGN OF MULTIVARIABLE FEEDBACK CONTROLLERS: ITALIC-L(1)-OPTIMAL SYSTEMS

Files in this item

Files Size Format View
8718704.PDF 2.778Mb application/pdf Thumbnail

Show full item record

Item Metadata

Title: DESIGN OF MULTIVARIABLE FEEDBACK CONTROLLERS: ITALIC-L(1)-OPTIMAL SYSTEMS
Author: DAHLEH, MUNTHER ABDULLAH
Degree: Doctor of Philosophy thesis
Abstract: This thesis treats the following problem: Given a multivariable linear time-invariant plant, we want to design a feedback controller in such a way that the closed loop system is internally stable and the output tracks an arbitrary set of bounded and persistent inputs for all time. This problem is equivalent to finding the feedback controller that minimizes the $l\sp{1}$-norm of the impulse response of the error transfer function. A parametrization of all stabilizing feedback controllers in terms of one free stable function is first obtained. This function is then chosen to minimize the norm of the error transfer function. Employing the duality theory in optimization, this problem is converted to a finite dimensional programming problem. In discrete-time systems, optimal solutions are obtained by solving linear programming problems and sets of linear equations. This result, together with the fact that optimal solutions are always rational, implies that this problem is of great practical significance. In continuous-time systems, optimal solutions are generally irrational and thus their implementation is a more difficult task. It is shown that this problem is well suited for designing robust systems when the plant is perturbed by additive or multiplicative stable perturbations, possibly nonlinear. Hence, robustness can be included in the optimization problem and the resulting solutions will have much better overall properties.
Citation: DAHLEH, MUNTHER ABDULLAH. (1987) "DESIGN OF MULTIVARIABLE FEEDBACK CONTROLLERS: ITALIC-L(1)-OPTIMAL SYSTEMS." Doctoral Thesis, Rice University. http://hdl.handle.net/1911/16046.
URI: http://hdl.handle.net/1911/16046
Date: 1987

This item appears in the following Collection(s)