A design procedure for control of strictly proper non-minimum phase processes with input constraints and disturbance

2011 ◽  
Vol 13 (1/2) ◽  
pp. 46 ◽  
Author(s):  
Ajiboye Osunleke ◽  
Mingcong Deng ◽  
Akira Yanou
Keyword(s):  
Design Procedure ◽  
Minimum Phase ◽  
Input Constraints

Stability of negative feedback

2021 ◽  
pp. 377-403
Author(s):  
Geoffrey Brooker
Keyword(s):  
Negative Feedback ◽  
Design Procedure ◽  
Feedback System ◽  
Conditional Stability ◽  
Phase Lag ◽  
Minimum Phase ◽  
Safety Margins ◽  
Nyquist Stability ◽  
Nyquist Plots ◽  
Frequency Dependences

“Stability of negative feedback” discusses the measures that must be taken to guarantee that a negative-feedback system is stable. Examples are given of frequency dependences using Bode and Nyquist plots. Safety margins are quantified by means of gain margins and phase margins; the desirability of a minimum-phase-lag network. A design procedure is formulated. There is discussion of Nyquist (conditional) stability, and how it may be achieved by judicious introduction of a non-linearity. A demonstration circuit shows that these measures can yield Nyquist stability with safety.

scholarly journals Robust guaranteed performance PID controller design for non-minimum phase plants

2018 ◽  
Vol 69 (2) ◽  
pp. 117-127
Author(s):  
Štefan Bucz ◽  
Alena Kozáková ◽  
Vojtech Veselý
Keyword(s):  
Time Domain ◽  
Closed Loop ◽  
Controller Design ◽  
Design Method ◽  
Design Procedure ◽  
Uncertain System ◽  
Harmonic Excitation ◽  
Minimum Phase ◽  
Performance Specification ◽  
Gain Margin

AbstractThe paper presents a new original robust PID design method for non-minimum phase plants to achieve closed-loop performance prescribed by the process technologist in terms of settling time and maximum overshoot, respectively. The proposed design procedure has two steps: first, the uncertain system is identified using external harmonic excitation signal with frequency, second, the controller of the nominal system is designed for specified gain margin. A couple of parameters is obtained from the time domain performance specification using quadratic regression curves, the so-called performance Bparabolas so, as to simultaneously satisfy robust closed-loop stability conditions. The main benefits of the proposed method are universal applicability for systems with both fast and slow dominant dynamics as well as performance specification using time domain criteria. The proposed PID design method has been verified on a set of benchmark systems.

Broadband Dynamic Modification Using Feedforward Control

1995 ◽  
Author(s):  
Thomas E. Alberts ◽  
Hemanshu R. Pota
Keyword(s):  
Steady State ◽  
Feedforward Control ◽  
Design Procedure ◽  
Harmonic Excitation ◽  
Flexible Structure ◽  
Minimum Phase ◽  
Original Result ◽  
Modal Expansion ◽  
General Proof ◽  
Dynamic Modification

Abstract This paper presents a general proof of a result due to Fuller and Burdisso, that asserts that system eigenvalues can be modified using feedforward control. The original result applies to the case of steady-state harmonic excitation. This paper extends that work to allow for broadband excitation. The results apply to any flexible structure representable using modal expansion, and are applicable to systems with non-minimum phase zeros. A design procedure is presented to allow arbitrary assignment of the controlled system’s poles, using a fixed feedforward compensator.

scholarly journals Unconstrained and Constrained Predictive Control for the Multivariable Process with Non-minimum Phase

2019 ◽  
Vol 2 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Zohra Zidane
Keyword(s):  
Predictive Control ◽  
Optimization Problem ◽  
Mimo Systems ◽  
Industrial Processes ◽  
Constrained Control ◽  
Minimum Phase ◽  
Input Constraints ◽  
System Behavior ◽  
Constrained Optimization Problem ◽  
Multivariable Process

Non-minimum phase Multi-input Multi-Ouput (MIMO) systems are known to be difficult to control. Model Predictive Control (MPC) algorithms are powerful control design methods widely applied to industrial processes. The handling of various input constraints in the MPC problem of ARIMAX non-minimum phase MIMO systems is considered. This approach is applied for control of industrial quadruple tanks. However, there is no easy way to solve the problem of constraints. The methods based on the quadratic programming (QP) technique are used to solve the constrained optimization problem. A comparative study of unconstrained and constrained control system behavior is given. Some illustrative simulation results for a considered system are presented and discussed. Encouraging results are obtained that motivate for further investigations.

scholarly journals Tube-Based Internal Model Control of Minimum-Phase Input-Affine MIMO Systems under Input Constraints

2020 ◽  
Vol 53 (2) ◽  
pp. 1677-1683
Author(s):  
K. Ben Jemaa ◽  
P. Kotman ◽  
S. Reimann ◽  
K. Graichen
Keyword(s):  
Internal Model ◽  
Mimo Systems ◽  
Internal Model Control ◽  
Minimum Phase ◽  
Input Constraints ◽  
Model Control

Data-driven Controller Tuning for Non-minimum Phase Plants with Stability Constraints

2014 ◽  
Vol 134 (12) ◽  
pp. 1802-1808
Author(s):  
Ryota Matsuo ◽  
Kazuhiro Yubai ◽  
Daisuke Yashiro ◽  
Junji Hirai
Keyword(s):  
Data Driven ◽  
Minimum Phase ◽  
Controller Tuning
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