On some adaptive controllers for stochastic systems with slow output sampling

2005 ◽  
pp. 64-73 ◽  
Author(s):  
Torsten Söderström
Keyword(s):  
Stochastic Systems ◽  
Adaptive Controllers

Design of a performance-adaptive proportional—integral—derivative controller for stochastic systems

2008 ◽  
Vol 222 (7) ◽  
pp. 691-700 ◽  
Author(s):  
T Yamamoto ◽  
Y Ohnishi ◽  
S L Shah
Keyword(s):  
Process Model ◽  
Stochastic Systems ◽  
Proportional Integral Derivative ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Adaptive Controllers ◽  
Proportional Integral Derivative Controller ◽  
Control Loops ◽  
Proportional Integral ◽  
Control Scheme

In order to manufacture high-quality products it is necessary to regularly monitor the performance of the control loops that regulate the quality variables of interest. This paper describes a design scheme of performance-adaptive controllers which are based on the above control strategy. According to the proposed control scheme, the output prediction error is monitored regularly and system identification is initiated if this error exceeds a user-defined threshold. Subsequently proportional—integral—derivative (PID) parameters are updated for the new model. Optimal PID parameters are calculated based on the linear quadratic Gaussian (LQG) trade-off curve obtained for the reidentified process model. The behaviour of the proposed control scheme is numerically evaluated by some simulation examples.

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