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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Vydáno v:International journal of control Ročník 62; číslo 3; s. 557 - 568
Hlavní autoři: BRYANT, G. F., HALIKIAS, G. D.
Médium: Journal Article
Jazyk:angličtina
Vydáno: London Taylor & Francis Group 01.09.1995
Taylor & Francis
Témata:
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
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Abstract 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.
AbstractList 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.
Author BRYANT, G. F.
HALIKIAS, G. D.
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  fullname: HALIKIAS, G. D.
  organization: Department of Electronic and Electrical Engineering. , University of Leeds
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10.1080/00207178608933474
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Issue 3
Keywords Uncertain system
Feedback system
Optimization method
Open loop
System design
Linear programming
Robustness
High frequency
Method study
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References DOYLE J. C (CIT0001) 1992
CIT0004
HOROWITZ I. M. (CIT0003) 1993
MACIEJOWSKI J. M. (CIT0005) 1989
FREUDENBERG J. S. (CIT0002) 1985; 104
CIT0006
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  doi: 10.1080/00207177208932261
– ident: CIT0006
  doi: 10.1080/00207178608933474
– volume-title: Feedback Control Theory
  year: 1992
  ident: CIT0001
– volume-title: Multivariable Feedback Design
  year: 1989
  ident: CIT0005
– volume: 104
  volume-title: Frequency Domain Properties of Scalar and Multivariable Systems
  year: 1985
  ident: CIT0002
– volume-title: Synthesis of Linear Systems
  year: 1993
  ident: CIT0003
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SubjectTerms 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
Title Optimal loop-shaping for systems with large parameter uncertainty via linear programming
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