Maximum Sensitivity Based New PID Controller Tuning for Integrating Systems Using Polynomial Method

Abstract

This paper presents a new control methodology for a class of integrating systems. A PID controller augmented with a first order lead/lag filter is proposed for improved response. The polynomial approach is employed to derive the controller parameters. The novelty of the proposed method lies in the selection of pole locations. Multiple pole locations are considered where one of the poles is placed for cancelling the zero introduced by controller. The selection of tuning parameter is based on maximum sensitivity (MS). Set point weighting is employed to reduce the overshoot and settling time in the servo response. Various bench marking examples are adopted to evaluate the proposed method in terms of various performance indices. The results are superior to the recently proposed works in terms of both set point tracking and disturbance rejection.

Parametric and Nonparametric PI Controller Tuning Method for Integrating Processes Based on Magnitude Optimum

“…The method is based on a pole-placement strategy, while the tuning parameter is the maximal sensitivity (M S ) value. This is similar for the Medarametla and Komanapalli [32] method. Srivastava and Pandit [31] developed a PID controller with a unique set-point filter that created a two-degrees-of-freedom (2-DOF) control system.…”

“…Most tunings methods for first-order integrating systems with time-delay can also be applied in higher-order systems by approximating the process as an IFOTD model [30,[32][33][34][35]39,40,[43][44][45]47,48,50,51]. Controller design based on IMC PID tuning rules was proposed by Kumar and Padma Sree [18], Skogestad [39], Jin and Liu [43], Panda [41], Ghousiya Begum et al [35], and Najafizadegan et al [34].…”

Filtered PID Control Loop for Third Order Plants With Delay: Dominant Pole Placement Approach

“…3 shows the area of 1  , 2  of the delay-free plants with laggardness 0  = , for which the pole placement is applicable. Only a restricted part of this area with 1,2 13   corresponds to aperiodic plants, option (4), the vast majority of the map belongs to oscillatory plants, option (5), with complex conjugate pair of roots. In this area the isolines of χ = const and ξ = const display the ranges of ratios χ, ξ of plants admissible for consideration.…”

“…The former tuning is suitable for dominant delay processes assuming safe pole-zero cancellation in the open loop [10], in [11] this cancellation is modified to systems with large time delay and in [12] the IMC-like PID with a second-order lead-lag filter compensates for the dominant plant poles and zeros. In [13] the Lambda tuning method is modified for integrating systems by the polynomial approach. The latter tuning is also applicable to the dominant delay processes but assuming no pole-zero cancellation within the control loop.…”

“…pole, 1,2 1  = , is encountered when D = 0 and this case corresponds to the similarity number option 1,213 …”