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dc.creatorDAHLEH, MUNTHER ABDULLAH
dc.date.accessioned 2007-05-09T19:44:04Z
dc.date.available 2007-05-09T19:44:04Z
dc.date.issued 1987
dc.identifier.urihttp://hdl.handle.net/1911/16046
dc.description.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.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectElectronics
Electrical engineering
dc.title DESIGN OF MULTIVARIABLE FEEDBACK CONTROLLERS: ITALIC-L(1)-OPTIMAL SYSTEMS
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Electrical and Computer Engineering
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Doctoral
thesis.degree.name Doctor of Philosophy
dc.identifier.citation DAHLEH, MUNTHER ABDULLAH. "DESIGN OF MULTIVARIABLE FEEDBACK CONTROLLERS: ITALIC-L(1)-OPTIMAL SYSTEMS." (1987) Diss., Rice University. http://hdl.handle.net/1911/16046.


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