Journal article
Covariance equivalent realizations: Development and applications to model and controller reduction
Dissertation Abstracts International Part B: Science and Engineering [DISS. ABST. INT. PT. B - SCI. & ENG.], vol. 44, no. 9, 1984, 295 pp
01 Jan 1984
Abstract
The controller design to meet the mission requirements of a large scale system typically involves two steps: (a) model reduction and (b) control design. This dissertation presents a theory to unify steps (a) and (b). Of particular interest will be partial realizations that preserve the steady state covariance of the uncontrolled variables of a higher order realization. The unification is achieved via the following steps. (1) Frist a reduced order model (of Riccati-solvable dimension) is obtained which preserves the mean-squared values of every controlled variable. (2) Based upon this reduced model, and optimal LQG controller is designed to meet the mission requirements. This determines the optimal control inputs. (3) Since the "Riccati-solvable dimension" may be larger than the order of the desired controller, a reduction of the LQG controller is now desired. The controller reduction problem aims at producing reduced order controllers that preserve the steady state covariance (in particular, the mean-squared values) of the optimal control inputs of step (2).
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Details
- Title
- Covariance equivalent realizations: Development and applications to model and controller reduction
- Creators
- A Yousuff
- Publication Details
- Dissertation Abstracts International Part B: Science and Engineering [DISS. ABST. INT. PT. B - SCI. & ENG.], vol. 44, no. 9, 1984, 295 pp
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mechanical Engineering and Mechanics
- Identifiers
- 991021957266704721