A new analytical approach for phase-margin specification-based target-loop selection for different class of dead-time processes

2022 ◽  
Vol 16 (1) ◽  
pp. 125
Author(s):  
Sudipta Chakraborty
Keyword(s):  
Analytical Approach ◽  
Dead Time ◽  
Phase Margin ◽  
Selection For

Fractional PI Tuning Satisfying Gain and Phase Margin Constraints

2011 ◽  
Author(s):  
Kaveh Paridari ◽  
Mohammad Saleh Tavazoei
Keyword(s):  
Dead Time ◽  
Phase Margin ◽  
First Order ◽  
Process Dynamic ◽  
Gain Margin ◽  
Pi Controllers ◽  
Performance Map ◽  
Simulation Results ◽  
And Performance ◽  
Tuning Methods

In this paper, an algebraic tuning rule is presented for fractional PI controllers to control first order plus dead-time processes. By using the performance map (PM) method, this tuning rule is derived in order to set the gain margin of the control system close to 3 and the phase margin close to 60 degrees. The robustness and performance of this tuning rule are compared with some well-known PI tuning rules. Simulation results are brought to demonstrate the effectiveness and robustness of this tuning formula against process dynamic uncertainties in comparison with the other tuning methods.

Phase-constrained fractional order PIλ controller for second-order-plus dead time systems

2016 ◽  
Vol 39 (8) ◽  
pp. 1225-1235 ◽  
Author(s):  
Kai Chen ◽  
Rongnian Tang ◽  
Chuang Li
Keyword(s):  
Fractional Order ◽  
Dead Time ◽  
Open Loop ◽  
Second Order ◽  
Phase Constraint ◽  
Phase Margin ◽  
Crossover Frequency ◽  
Tuning Method ◽  
The Stability ◽  
Stability Line

In this paper we propose a phase-constrained fractional order [Formula: see text] controller based on a second-order-plus dead time process and a new tuning method. The design is derived in several constraints: a flat phase constraint, a gain crossover frequency and a phase margin. With the specified phase margin, it can reach the corresponding upper boundary of gain crossover frequency and the stability region. The complete surface of stabilizing controllers is achieved by guaranteeing the open-loop system to fulfil the pre-set phase margin. Afterwards, a stability line on the relative stable surface can then be obtained. For a set of controllers on the stability line, the flat phase constraint is used to make sure the uniqueness of the designed controller. The effectiveness of the proposed method is illustrated with several numerical examples.

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