Performance measures, performance limits and optimal PI control for the IPDT plant

Huba, Mikuláš

doi:10.1016/j.jprocont.2013.01.002

Cited by 122 publications

(86 citation statements)

References 10 publications

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“…The robustness analysis by the PPM will be based on theorems similar to the Theorem 2 proven in [2] stating that when considering PP including items IAE(ȳ s ), IAE(ȳ d ), T V 0 (ȳ s ), T V 1 (ȳ d ), T V 0 (ū s ) and T V 0 (ū d ) generated for the considered plant (5) with K = 1, T d = 1 over chosen grid of points T m , n, T n from the setpoint responses (r = 1, d i = 0) with output and inputȳ s (τ ),ū s (τ ) and from the input disturbance responses (r = 0, d i = 1) withȳ d (τ ),ū d (τ ) stored and expressed over grid of normalized variables κ = K/K m ∈ [κ P P min , κ P P max ] τ d = T d /T m ∈ [τ dP P min , τ dP P max ] τ n = T n /T m ∈ [τ nP P min , τ nP P max ] (17) with the corresponding responses y s (t), u s (t), y d (t) and u d (t) may be calculated according to…”

Section: A Performance Portrait Methods (Ppm)mentioning

confidence: 99%

“…use the phase, or the gain margin, the maximum sensitivity [7], or the dead-time margin [8]. However, when aiming to design control loops and having higher requirements on the resulting control quality that should be respected by all plants of a given family, the frequency domain approach shows to be not sufficiently effective [2], [3]. Instead of this, the shape and time related performance measures based upon closed loop step responses will now be used.…”

Section: Introductionmentioning

confidence: 99%

“…This new computer analysis of control loops based on generating the closed loop PP [2], [3], [11]) is briefly described to be used in analyzing, designing and comparing DTCs and in visualizing their properties. The key question is, how to robustly design control loops with stable dead-time dominated plants to keep their setpoint and disturbance step responses nearly monotonic at the the plant input and output also in the case of possible plant-model mismatch.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Robust tuning of the simplest dead time compensators

Huba

2014

2014 International Conference and Exposition on Electrical and Power Engineering (EPE)

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This paper rediscovers and modifies the oldest and the simplest dead-time compensator (DTC) introduced originally by [1] and shows new possibility for its robust tuning by the performance portrait method. This method comprising computer based analysis, compressed characterization and visualization of the closed loop properties achieved by evaluating set of performance measures over chosen grid of loop parameters with an optimization based on sweeping all possible stored data may be successfully used for an optimal nominal or robust tuning [2]-[4] based either on the known plant model with parameters taking values upon uncertainty intervals, or directly on measured experimental data [5]. In order to enable an easy comparing with other possible solutions new robustness characteristics will be derived showing how a model uncertainty influences decrease of the loop performance.

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Section: A Performance Portrait Methods (Ppm)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Robust tuning of the simplest dead time compensators

Huba

2014

2014 International Conference and Exposition on Electrical and Power Engineering (EPE)

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“…[2], [10], [11]. Recent works on IPDT controlled by a PI have been reported in [12], [13], [14], [15]. Most PI tuning rules for IPDT systems may be formulated in the following setting…”

Section: Introductionmentioning

confidence: 99%

Tuning of PI compensators for integrating systems with large parametric uncertainty

Mercader

Baños

2014

Proceedings of the 2014 IEEE Emerging Technology and Factory Automation (ETFA)

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A simple PI tuning rule for integrating plus dead time (IPDT) systems, with large parametric uncertainty, is developed. In order to deal with parametric uncertainty a family of plants is considered. The design specifications are upper bounds on the sensitivity and the complementary sensitivity functions, that must be satisfied for any element belonging to the plants set. When applied to a system without uncertainty (or with no significant uncertainty) the well-known SIMC tuning rule is recovered. To conclude, several examples are analyzed to illustrate the proposed tuning rule.

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“…The steady, response speed and the disturbance rejection capacity are some main performance to be considered during the design of a PID controller [14][15][16] . In model based scheme, the trade-offs among them are made through elaborate analysis and calculations.…”

mentioning

confidence: 99%

Simple PID parameter tuning method based on outputs of the closed loop system

Han

Zhu

Jiang

et al. 2016

Chin. J. Mech. Eng.

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Most of the existing PID parameters tuning methods are only effective with pre-known accurate system models, which often require some strict identification experiments and thus infeasible for many complicated systems. Actually, in most practical engineering applications, it is desirable for the PID tuning scheme to be directly based on the input-output response of the closed-loop system. Thus, a new parameter tuning scheme for PID controllers without explicit mathematical model is developed in this paper. The paper begins with a new frequency domain properties analysis of the PID controller. After that, the definition of characteristic frequency for the PID controller is given in order to study the mathematical relationship between the PID parameters and the open-loop frequency properties of the controlled system. Then, the concepts of M-field and θ-field are introduced, which are then used to explain how the PID control parameters influence the closed-loop frequency-magnitude property and its time responses. Subsequently, the new PID parameter tuning scheme, i.e., a group of tuning rules, is proposed based on the preceding analysis. Finally, both simulations and experiments are conducted, and the results verify the feasibility and validity of the proposed methods. This research proposes a PID parameter tuning method based on outputs of the closed loop system.

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Performance measures, performance limits and optimal PI control for the IPDT plant

Cited by 122 publications

References 10 publications

Robust tuning of the simplest dead time compensators

Robust tuning of the simplest dead time compensators

Tuning of PI compensators for integrating systems with large parametric uncertainty

Simple PID parameter tuning method based on outputs of the closed loop system

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