Non-parametric Tuning of PID Controllers

Boiko, Igor

doi:10.1007/978-1-4471-4465-6_2

Cited by 12 publications

(37 citation statements)

References 11 publications

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“…Quality of any control system is estimated by many quantitative indexes (see e.g. [14], [15], [16]), which reflect control precision, energetic effectiveness, robustness of the closed-loop system with respect to disturbances, etc. From mathematical point of view, the design of a "good" control law is a multi-objective optimization problem.…”

Section: Homogeneity Vs Linearitymentioning

confidence: 99%

“…A well-tuned linear controller, such as PID (Proportional-Integral-Differential) algorithm, guarantees a good enough control quality in many practical cases [14]. However, the further improvement of control performance using the same linear strategy looks impossible.…”

Section: Homogeneity Vs Linearitymentioning

confidence: 99%

“…Theorem 4 If the pair {A, B} is controllable and µ ∈ [−1, k −1 ], where k ≤ n : rank(B, AB, ..., A k−1 B) = n, then a homogeneously stabilizing control for (14) can always be selected in the form…”

Section: Homogeneous Stabilization Of Linear Mimo Systemsmentioning

confidence: 99%

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Generalized homogenization of linear controllers: Theory and experiment

Wang

Polyakov

Zheng

2020

Intl J Robust & Nonlinear

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A procedure for an "upgrade" of a linear PID controller to a non-linear homogeneous one is developed and verified by real experiments with quadrotor. The controller design is based on a generalized homogeneity (dilation symmetry) of the system. Its parameters are obtained from the gains of linear controller. The issues of digital implementation of the proposed controller are discussed. Finally, the stability and robustness properties of the homogeneous PID controller are validated on the quadrotor QDrone platform of Quanser T M .

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Section: Homogeneity Vs Linearitymentioning

confidence: 99%

Section: Homogeneity Vs Linearitymentioning

confidence: 99%

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Generalized homogenization of linear controllers: Theory and experiment

Wang

Polyakov

Zheng

2020

Intl J Robust & Nonlinear

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“…In [9], homogeneous tuning rules for PID controllers were proposed. In a similar fashion, for systems with rate-limited actuators, the following rules can be used…”

Section: B Optimal Tuningmentioning

confidence: 99%

Sliding Mode Anti-windup Strategy for Mass Flow-Rate Regulation of Compressors with Rate-Limited Motors

Eldigair

Kunusch

Ocampo‐Martínez

et al. 2018

2018 15th International Workshop on Variable Structure Systems (VSS)

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In this paper, the control of the mass flow-rate for a centrifugal compressor is discussed. The compressor is driven by a rate-limited actuating motor. To avoid integral windup, a sliding mode control (SMC) based anti-windup strategy is proposed. The developed scheme essentially avoids the integral windup of PI controllers by adapting the controller gain such that output of controller is not influenced by the rate limiter. Furthermore, a relay-based optimal tuning methodology for PI controllers in rate-limited systems is presented and discussed. Optimal tuning of the PI controller is done at different operating conditions of the compressor and used to create a gain schedule that provides a more robust control structure compared to standard manually tuned PI controllers.

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“…Proportional-integral-derivative (PID) [1][2][3][4][5][6][7][8][9] control has few tuning parameters: proportional gain, integral time, and derivative time, and its structure is simple. Hence, PID control has been widely used in industry, and numerous tuning methods have been proposed.…”

Section: Introductionmentioning

confidence: 99%

Discrete-Time First-Order Plus Dead-Time Model-Reference Trade-off PID Control Design

et al. 2019

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The present study proposes a novel proportional-integral-derivative (PID) control design method in discrete time. In the proposed method, a PID controller is designed for first-order plus dead-time (FOPDT) systems so that the prescribed robust stability is accomplished. Furthermore, based on the control performance, the relationship between the servo performance and the regulator performance is a trade-off relationship, and hence, these items are not simultaneously optimized. Therefore, the proposed method provides an optimal design method of the PID parameters for optimizing the reference tracking and disturbance rejection performances, respectively. Even though such a trade-off design method is being actively researched for continuous time, few studies have examined such a method for discrete time. In conventional discrete time methods, the robust stability is not directly prescribed or available systems are restricted to systems for which the dead-time in the continuous time model is an integer multiple of the sampling interval. On the other hand, in the proposed method, even when a discrete time zero is included in the controlled plant, the optimal PID parameters are obtained. In the present study, as well as the other plant parameters, a zero in the FOPDT system is newly normalized, and then, a universal design method is obtained for the FOPDT system with the zero. Finally, the effectiveness of the proposed method is demonstrated through numerical examples.

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Non-parametric Tuning of PID Controllers

Cited by 12 publications

References 11 publications

Generalized homogenization of linear controllers: Theory and experiment

Generalized homogenization of linear controllers: Theory and experiment

Sliding Mode Anti-windup Strategy for Mass Flow-Rate Regulation of Compressors with Rate-Limited Motors

Discrete-Time First-Order Plus Dead-Time Model-Reference Trade-off PID Control Design

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