A Design Method of Robust Controller for a Flexible Structure Using H∞/μ Control Theory

1995 ◽  
Author(s):  
Toru Watanabe ◽  
Kazuo Yoshida
Keyword(s):  
Control Theory ◽  
Structural Dynamics ◽  
Design Method ◽  
Flexible Structure ◽  
Vibration Modes ◽  
Model Errors ◽  
Robust Controller ◽  
Parameter Variations ◽  
Torsional Coupling ◽  
And Control

Abstract This paper discusses about robust vibration control of a flexible structure that has transverse and torsional vibration modes. A design method of a controller taking account of the parameter variations and the residual dynamics is presented. The transverse-torsional coupling is translated into parameter variations, and other model errors of structural dynamics of the system are interpreted as frequency-shaped weighting functions. The H∞/μ control theory is applied to synthesize controller and these perturbations are formulated in the generalized plant. To examine the capability of the obtained controller, computer simulations and control experiments are carried out and the effectiveness of the presented method is verified.

scholarly journals TEMPERATURE MODE MANAGEMENT OF CHEMICAL REACTOR

2019 ◽  
Vol 2018 (2) ◽  
pp. 41-48 ◽  
Author(s):  
Владимир Невиницын ◽  
Vladimir Nevinitsyn ◽  
Александр Лабутин ◽  
Aleksandr Labutin ◽  
Галина Волкова ◽  
...  
Keyword(s):  
Control Theory ◽  
Design Method ◽  
Chemical Reactor ◽  
Continuous Stirred Tank Reactor ◽  
Chemical Reactors ◽  
Synergetic Control Theory ◽  
Automation And Control ◽  
Synergetic Control ◽  
And Control ◽  
Nonlinear Control Law

A chemical reactor is one of the common apparatuses in chemical industry. Despite a large number of the works related to automation and control of chemical reactors, the problem of synthesizing control systems that provide the maintenance of optimal modes of their operation remains practically unsolved. This is related to the principal feature of chemical reactors as controlled objects, namely, manifold, non-linearity, and multi-coupling. An outcome from this situation is to develop a physical theory of control, in particular synergetic control theory. The problem of analytical synthesis of nonlinear control law of the chemical reactor temperature regime has been solved. We use the methods of synergetic control theory, simulation methods and methods of computational experiment. The paper deals with continuous stirred tank reactor equipped with a mechanical stirrer and cooling jacket. The reactor operates in the polytropic mode. The multistep series-parallel exothermic process is carried out in the reactor. The objective of chemical reactor operation is to obtain the key product of specified concentration. Using the analytical design method of aggregated regulators, a non-linear control algorithm was synthesized, which solves the problem of stabilization of reaction mixture temperature in the apparatus under the action of disturbances on the object. Computer simulation of the object–regulator isolated system showed such properties of synthesized control system as the disturbance invariance, covariance to the given actions, and asymptotic stability.

Analysis and Design of a Nonlinear Robust Controller

1996 ◽  
Vol 118 (2) ◽  
pp. 339-341 ◽  
Author(s):  
Chyun-Chau Fuh ◽  
Pi-Cheng Tung
Keyword(s):  
Fuzzy Control ◽  
Pid Controller ◽  
Simple Structure ◽  
Design Method ◽  
Nonlinear Controller ◽  
Robust Controller ◽  
Analysis And Design ◽  
Parameter Variations ◽  
Digital Simulations ◽  
Nonlinear Robust

A nonlinear controller and its design method are proposed. The development of the controller is motivated by fuzzy control. The controller has the advantages of simple structure, rapid computation, zero steady error, few parameters to set, and robustness to structure uncertainties and to parameter variations. Comparing the new controller with the PID controller, we find the performance of the new controller to be better. Its sensitivity to variations of the system is smaller than that of the PID and it requires no prefilter to avoid large overshoot. Digital simulations are performed to verify the capability of the proposed new nonlinear controller.

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