scholarly journals Analytical Synthesis of Non-Linear Control Algorithms of a Chemical Reactor Thermal Mode

Processes ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 644
Author(s):  
Alexander Nikolaevich Labutin ◽  
Milan Vaško ◽  
Ivan Kuric ◽  
Vladimir Yuryevich Nevinitsyn ◽  
Milan Sága ◽  
...  
Keyword(s):  
Control System ◽  
Invariant Manifolds ◽  
Exothermic Reaction ◽  
Chemical Reactor ◽  
System Structure ◽  
Linear Control ◽  
Control Algorithms ◽  
Thermal Mode ◽  
Non Linear ◽  
Analytical Synthesis

The paper deals with two approaches to the synthesis of a non-linear control system of the thermal regime of a liquid-phase chemical reactor at the realization of a bimolecular exothermic reaction. Synthesis of control algorithms is carried out by the method of analytical design of aggregated regulators (ADAR). The first variant assumes synthesis of temperature controller by classic ADAR method on the basis of a sequential set of invariant manifolds. The second one is based on the cascade control system structure. Computer simulation is used to study and compare the synthesized control systems.

A pole placement controller for non-linear dynamic plants

2002 ◽  
Vol 216 (6) ◽  
pp. 467-476 ◽  
Author(s):  
Q M Zhu ◽  
L Z Guo
Keyword(s):  
Control System ◽  
System Design ◽  
Discrete Time ◽  
Linear Control System ◽  
Linear Control ◽  
Pole Placement ◽  
Hammerstein Model ◽  
Control System Design ◽  
Non Linear ◽  
Pole Placement Controller

In this study a control-oriented model is proposed to represent a wide range of non-linear discrete-time dynamic plants. As a testimony to the efficiency of the model structure for control system design, a pole placement controller is designed for non-linear discrete-time plants. Mathematically the solution of the controller output is converted into resolving a polynomial equation in the current control term u( t), which significantly reduces the difficulties encountered in non-linear control system synthesis and computational complexities. The integrated procedure provides a straightforward methodology to use in linear control system design techniques when designing non-linear control systems. For a demonstration of the effectiveness of the proposed methodology used to deal with practical problems, pole placement controllers are designed for three non-linear plants, including the Hammerstein model, a laboratory-scale liquid level system and a continuous stirred tank reactor. The simulation results are presented with graphical illustrations.

Finite bang-bang controllability for certain non-linear systems

1977 ◽  
Vol 77 (1-2) ◽  
pp. 137-144 ◽  
Author(s):  
Gunnar Aronsson
Keyword(s):  
Control System ◽  
Sufficient Conditions ◽  
Linear Control ◽  
Usual Sense ◽  
Unperturbed System ◽  
Control Functions ◽  
Bounded Controls ◽  
Non Linear ◽  
Non Linear Systems ◽  
Image Position

SynopsisThis paper gives sufficient conditions ensuring that a non-linear control system of the formis controllable by means of control functions u(t), such that each ui(t) only takes two values, with a finite number of switches. It is assumed that the ‘unperturbed’ system ẋ = A(t)x + B(t)u is controllable in the usual sense, i.e. by measurable and bounded controls.

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