Optimal loop-shaping for systems with large parameter uncertainty via linear programming

This paper describes an optimization method for designing feedback systems subject to large parameter uncertainty. Following the design philosophy of the Quantitative Feedback Theory (Horowitz and Sidi 1972 , 1978) the objective is to minimize the magnitude of the open loop L(jω) at high frequencies...

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Bibliographic Details
Published in:International journal of control Vol. 62; no. 3; pp. 557 - 568
Main Authors: BRYANT, G. F., HALIKIAS, G. D.
Format: Journal Article
Language:English
Published: London Taylor & Francis Group 01.09.1995
Taylor & Francis
Subjects:
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Mathematical programming
Operational research and scientific management
Operational research. Management science
Uncertain system
Feedback system
Optimization method
Open loop
System design
Linear programming
Robustness
High frequency
Method study
ISSN:0020-7179, 1366-5820
Online Access:Get full text
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Summary:This paper describes an optimization method for designing feedback systems subject to large parameter uncertainty. Following the design philosophy of the Quantitative Feedback Theory (Horowitz and Sidi 1972 , 1978) the objective is to minimize the magnitude of the open loop L(jω) at high frequencies subject to: (a) low and intermediate-frequency bounds capturing the closed-loop robust-performance objectives; (b) a universal-frequency bound on L(jω) which limits the effects of disturbances; and (c) realization constraints on L(s) in the form of Bode's integral. This last relation is discretized at a number of frequencies and defines, together with (a) and (b), the overall set of linear constraints in a resulting linear programming optimization problem.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207179508921556