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Robust Performance of Decentralized Control Systems by Independent Designs

TLDR
In this paper the decentralized control problem is formulated as a series of independent designs, and simple bounds on these individual designs are derived, which when satisfied, guarantee robust performance of the overall system.
Abstract
Decentralized control systems have fewer tuning parameters, are easier to understand and tune, and are more easily made failure tolerant than general multivariable control systems. In this paper the decentralized control problem is formulated as a series of independent designs. Simple bounds on these individual designs are derived, which when satisfied, guarantee robust performance of the overall system. The results provide a generalization of the ?-Interaction Measure introduced by Grosdidier and Morari (1986).

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Citations
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Journal ArticleDOI

Robust performance of cross-directional basis-weight control in paper machines

TL;DR: The response of an important actuator for basis-weight control, the paper machine slice, is described by a single dimensionless design parameter that provides considerable insight about the CD response control problem.
Journal ArticleDOI

Decentralized PI/PID controllers based on gain and phase margin specifications for TITO processes.

TL;DR: An independent PI/PID controller is designed for each reduced order decoupled subsystem to obtain the desired gain and phase margins, and the performance is verified on the original interactive system to show the effectiveness of the proposed design method for the general class of TITO systems.
Journal ArticleDOI

Centralized PI controllers for interacting multivariable processes by synthesis method.

TL;DR: Two methods of designing a centralized control system for multi-input, multi-output (MIMO) processes are presented and the proposed centralized controllers reduce the interactions better than recently reported decentralized controllers do.
Journal ArticleDOI

Variable selection for decentralized control

TL;DR: In this article, several tests for eliminating pairings which are not decentralized integral controllable DIC are presented in terms of diierent measures of the sign of steady state gain matrix, including RGA, the determinant and eigenvalues.
Journal Article

Design of Multi-loop PID Controllers Based on the Generalized IMC-PID Method with Mp Criterion

TL;DR: In this article, a new method of designing multi-loop PID controllers is presented in which the optimization problem involved in finding the PID parameters is efficiently simplified to find the optimum closed-loop time constant in a reduced search space.
References
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Analysis of feedback systems with structured uncertainties

TL;DR: In this article, a general approach for analysing linear systems with structured uncertainty based on a new generalised spectral theory for matrices is introduced, which naturally extend techniques based on singular values and eliminate their most serious difficulties.
Proceedings ArticleDOI

Performance and robustness analysis for structured uncertainty

TL;DR: In this paper, a non-conservative measure of performance for linear feedback systems in the face of structured uncertainty is introduced, based on a new matrix function, which is called the Structured Singular Value.
Journal ArticleDOI

Robust control of ill-conditioned plants: high-purity distillation

TL;DR: In this article, a high-purity distillation column is used to explain the physical reason for poor conditioning and its implications on control system design and performance, and it is shown that an acceptable performance/robustness tradeoff cannot be obtained by simple loop-shaping techniques (using singular values) and that a good understanding of the model uncertainty is essential for robust control systems design.
Journal ArticleDOI

Interaction measures for systems under decentralized control

TL;DR: Rigorous relationships are derived in this study linking the RGA to closed-loop stability and robustness with respect to model uncertainty, and a new dynamic IM is defined for multi-variable systems under feedback with diagonal or block-diagonal controllers.