Controller synthesis free of analytical model: fixed-order controllers

Parastvand, Hossein; Khosrowjerdi, Mohammad Javad

doi:10.1080/00207721.2013.815823

Cited by 11 publications

(6 citation statements)

References 28 publications

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“…Such an assumption is often valid in many practical applications. Also, this is an assumption that has already been used several times in other papers dealing with controller synthesis using frequency domain data [5,7,11,13,[15][16][17]. There are open doors to extend this approach to MIMO and nonlinear systems and to improve the performance specifications.…”

Section: Discussionmentioning

confidence: 99%

“…Another modelbased application with PID has been proposed in [4] on load motion control of two-mass servomechanisms. Although most of the proposed methods in this area rely on plant mathematical model, yet some model-free approaches can be found in the literature such as [5,6,7,8,18,19]. Almost every proposed model-free approach uses time domain data and online adaptive algorithms.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Position Control of Motor Drive Systems: A Data Driven Approach

Parastvand

Khosrowjerdi²,

M'Sirdi³

2015

Ren. Ener. & Sust. Dev.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Position Control of Motor Drive Systems: A Data Driven Approach

Parastvand

Khosrowjerdi²,

M'Sirdi³

2015

Ren. Ener. & Sust. Dev.

Self Cite

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“…The set of all stabilizing PID controllers with H ∞ performance is obtained using only the frequency-domain data in Keel and Bhattacharyya (2008). This method is extended to design of fixed-order linearly parameterized controllers in Parast-1 Corresponding author: alireza.karimi@epfl.ch vand and Khosrowjerdi (2015Khosrowjerdi ( , 2016. The frequency response data are used in Hoogendijk et al (2010) to compute the frequency response of a controller that achieves a desired closed-loop pole location.…”

Section: Introductionmentioning

confidence: 99%

A data-driven approach to robust control of multivariable systems by convex optimization

Karimi

Kammer

2017

Automatica

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The frequency-domain data of a multivariable system in different operating points is used to design a robust controller with respect to the measurement noise and multimodel uncertainty. The controller is fully parametrized in terms of matrix polynomial functions and can be formulated as a centralized, decentralized or distributed controller. All standard performance specifications like H2, H∞ and loop shaping are considered in a unified framework for continuous-and discrete-time systems. The control problem is formulated as a convex-concave optimization problem and then convexified by linearization of the concave part around an initial controller. The performance criterion converges monotonically to a local optimal solution in an iterative algorithm. The effectiveness of the method is compared with fixed-structure controller design methods based on non-smooth optimization via multiple simulation examples.

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“…In , a complete set of PID controllers is computed that guarantee a gain margin, phase margin and H ∞ performance specification using frequency‐domain data. This method is extended to design fixed‐order linearly parameterized controllers in .…”

Section: Introductionmentioning

confidence: 99%

Robust H_∞ controller design using frequency‐domain data via convex optimization

Karimi

Nicoletti

Zhu

2016

Intl J Robust & Nonlinear

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SUMMARYA new robust controller design method that satisfies the H∞ criterion is developed for linear timeinvariant single-input single-output (SISO) systems. A data-driven approach is implemented in order to avoid the unmodeled dynamics associated with parametric models. This data-driven method uses fixed order controllers to satisfy the H∞ criterion in the frequency domain. The necessary and sufficient conditions for the existence of such controllers are presented by a set of convex constraints. These conditions are also extended to systems with frequency-domain uncertainties in polytopic form. It is shown that the upper bound on the weighted infinity norm of the sensitivity function converges monotonically to the optimal value, when the controller order increases. Additionally, the practical issues involved in computing fixed-order rational H∞ controllers in discrete-or continuous-time by convex optimization techniques are addressed. Copyright

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Controller synthesis free of analytical model: fixed-order controllers

Cited by 11 publications

References 28 publications

Position Control of Motor Drive Systems: A Data Driven Approach

Position Control of Motor Drive Systems: A Data Driven Approach

A data-driven approach to robust control of multivariable systems by convex optimization

Robust H_∞ controller design using frequency‐domain data via convex optimization

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Controller synthesis free of analytical model: fixed-order controllers

Cited by 11 publications

References 28 publications

Position Control of Motor Drive Systems: A Data Driven Approach

Position Control of Motor Drive Systems: A Data Driven Approach

A data-driven approach to robust control of multivariable systems by convex optimization

Robust H∞ controller design using frequency‐domain data via convex optimization

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Robust H_∞ controller design using frequency‐domain data via convex optimization