Novel control strategy for non-minimum-phase unstable second order systems: generalised predictor based approach

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Anil Bhaskaran ◽  
Chandramohan Goud Ediga ◽  
Seshagiri Rao Ambati
Keyword(s):  
Time Delay ◽  
Direct Synthesis ◽  
Synthesis Method ◽  
Absolute Error ◽  
Second Order ◽  
Delay Systems ◽  
Minimum Phase ◽  
Current Output ◽  
Servo Tracking ◽  
Second Order Systems

Abstract A control structure based on generalized predictor is proposed to control non-minimum phase unstable second order processes with time delay. The scheme contains a predictor structure and a direct synthesis method based primary controller for servo tracking. The predictor structure consists of two filters acting on input and current output which are designed to provide noise attenuation and disturbance rejection. A set-point filter minimises the overshoot caused by the introduction of additional zeros of the controller in the overall closed loop transfer function so as to smooth the tracking performance. Different second order unstable time delay systems are considered and Integral Absolute Error (IAE) and Total Variation (TV) measures are used for comparing the performances quantitatively. The method is implemented experimentally on an inverted pendulum. The proposed predictive strategy is found to provide enhanced control performances in comparison to the existing literature methods.

Enhanced PID Controller for Non-Minimum Phase Second Order Plus Time Delay System

2019 ◽  
Vol 14 (3) ◽  
Author(s):  
Purushottam Patil ◽  
C. Sankar Rao
Keyword(s):  
Time Delay ◽  
Closed Loop ◽  
Linear Equations ◽  
Uncertain System ◽  
Absolute Error ◽  
Delay System ◽  
Second Order ◽  
Delay Systems ◽  
Minimum Phase ◽  
Point Tracking

Abstract A tuning method is developed for the stabilization of the non-minimum phase second order plus time delay systems. It is well known that the presence of positive zeros pose fundamental limitations on the achievable control performance. In the present method, the coefficients of corresponding powers of s, s2 and s3 in the numerator are equated to α, β and γ times those of the denominator of the closed-loop system. The method gives three simple linear equations to get the PID parameter. The optimal tuning parameters α, β and γ are estimated by minimizing the Integral Time weighted Absolute Error (ITAE) for servo problem using fminsearch MATLAB solver aimed at providing lower maximum sensitivity function and keeping in check with the stability. The performance under model uncertainty is also analysed considering perturbation in one model parameter at a time using Kharitonov’s theorem. The closed loop performance of the proposed method is compared with the methods reported in the literature. It is observed that the proposed method successfully stabilizes and improves the performance of the uncertain system under consideration. The simulation results of three case studies show that the proposed method provides enhanced performance for the set-point tracking and disturbance rejection with improved time domain specifications.

Optimal controller synthesis for second order time delay systems with at least one RHP pole

2018 ◽  
Vol 73 ◽  
pp. 181-188 ◽  
Author(s):  
K. Ghousiya Begum ◽  
A. Seshagiri Rao ◽  
T.K. Radhakrishnan
Keyword(s):  
Time Delay ◽  
Second Order ◽  
Controller Synthesis ◽  
Delay Systems ◽  
Optimal Controller ◽  
Time Delay Systems

Evolutionary Tuning of Optimal PID Controllers for Second Order Systems Plus Time Delay

2015 ◽  
pp. 3-20 ◽  
Author(s):  
Jesús-Antonio Hernández-Riveros ◽  
Jorge-Humberto Urrea-Quintero ◽  
Cindy-Vanessa Carmona-Cadavid
Keyword(s):  
Time Delay ◽  
Second Order ◽  
Pid Controllers ◽  
Second Order Systems ◽  
Evolutionary Tuning

scholarly journals Minimum-Phase Second-Order Systems and the Spectrum of the Semigroup Generator

PAMM ◽  
2006 ◽  
Vol 6 (1) ◽  
pp. 631-632
Author(s):  
Birgit Jacob ◽  
Kirsten Morris ◽  
Carsten Trunk
Keyword(s):  
Second Order ◽  
Minimum Phase ◽  
Second Order Systems ◽  
Semigroup Generator
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