Optimal and robust control of a group of single-input linear systems using linear uncertain technique

Shyh Pyng Shue, Ramesh K. Agarwal, Peng Shi, M. E. Sawan

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

Optimal and robust control of a group of single-input linear systems are presented. The formulation of the optimal state feedback controller is developed for a group of linear systems derived from a nonlinear system under attractive domains. Choosing a particular linear system as the desired model, the rest of the systems are assumed to be parameter-uncertain. Selection of a suitable weighting matrix for the performance index is used as a key method to optimally control this particular system and robustly stabilize the rest of the linear systems, simultaneously. It is shown that the above problem can be solved if an algebraic Riccati equation (ARE) has a solution. The state weighting matrix of this ARE can be linearly formulated for all uncertain coefficients and factors. If the weighting matrix is selected to satisfy certain constraints, the solution of ARE is positive, and all closed loop systems are stable. Control of a group of linearized longitudinal motions of an aircraft is employed to illustrate the potential of the proposed method.

Original languageEnglish
Title of host publicationProceedings of the 1998 American Control Conference, ACC 1998
Pages1099-1103
Number of pages5
DOIs
StatePublished - 1998
Event1998 American Control Conference, ACC 1998 - Philadelphia, PA, United States
Duration: Jun 24 1998Jun 26 1998

Publication series

NameProceedings of the American Control Conference
Volume2
ISSN (Print)0743-1619

Conference

Conference1998 American Control Conference, ACC 1998
Country/TerritoryUnited States
CityPhiladelphia, PA
Period06/24/9806/26/98

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