Loop shaping for PID controller design based on time and frequency specifications ⁎

Clarisse Pétua Bosman Barros; Péricles Rezende Barros; José Sergio da Rocha Neto

doi:10.1016/j.ifacol.2018.06.160

Loop shaping for PID controller design based on time and frequency specifications ^⁎

Clarisse Pétua Bosman Barros, Péricles Rezende Barros, José Sergio da Rocha Neto

Research output: Contribution to journal › Conference article › peer-review

3 Citations (Scopus)

7 Downloads (Pure)

Abstract

In this paper it is described a new method to design PID controllers using a linear programming approach for optimizing performance subject to robustness constraints. It is based on the shaping of a reference loop gain transfer function which forms a convex region on the Nyquist diagram which contains and bounds the designed loop gain Nyquist plot. The convex region is approximated by a set of lines in order to formulate a linear optimization problem. It is also presented an optional performance specification related to the crossover frequency of the designed loop gain. The class of stable linear time-invariant single-input simple-output (SISO) systems is considered and the optimization problem is proposed, solved and analyzed.

Original language	English
Pages (from-to)	592-597
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	51
Issue number	4
DOIs	https://doi.org/10.1016/j.ifacol.2018.06.160
Publication status	Published - 1 Jan 2018
Externally published	Yes
Event	3rd IFAC Conference on Advances in Proportional-Integral-Derivative Control PID 2018 - Ghent, Belgium Duration: 9 May 2018 → 11 May 2018

Funding

The authors of this article acknowledge the support of CNPq (The Brazilian National Council for Scientific and Technological Development) and COPELE (Post-Graduate Program in Electrical Engineering - PPgEE).

Keywords

Linear programming
Multiobjective optimization
Optimization problems
Parameter optimization
PID control

Access to Document

10.1016/j.ifacol.2018.06.160

Cite this

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title = "Loop shaping for PID controller design based on time and frequency specifications ⁎",

abstract = "In this paper it is described a new method to design PID controllers using a linear programming approach for optimizing performance subject to robustness constraints. It is based on the shaping of a reference loop gain transfer function which forms a convex region on the Nyquist diagram which contains and bounds the designed loop gain Nyquist plot. The convex region is approximated by a set of lines in order to formulate a linear optimization problem. It is also presented an optional performance specification related to the crossover frequency of the designed loop gain. The class of stable linear time-invariant single-input simple-output (SISO) systems is considered and the optimization problem is proposed, solved and analyzed.",

keywords = "Linear programming, Multiobjective optimization, Optimization problems, Parameter optimization, PID control",

author = "{Bosman Barros}, {Clarisse P{\'e}tua} and Barros, {P{\'e}ricles Rezende} and {da Rocha Neto}, {Jos{\'e} Sergio}",

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AB - In this paper it is described a new method to design PID controllers using a linear programming approach for optimizing performance subject to robustness constraints. It is based on the shaping of a reference loop gain transfer function which forms a convex region on the Nyquist diagram which contains and bounds the designed loop gain Nyquist plot. The convex region is approximated by a set of lines in order to formulate a linear optimization problem. It is also presented an optional performance specification related to the crossover frequency of the designed loop gain. The class of stable linear time-invariant single-input simple-output (SISO) systems is considered and the optimization problem is proposed, solved and analyzed.

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