Discrete bilinear plant

Model description: 

The plant is

$$y(k)=1.2y(k-1)-0.8y(k-2)+0.2y(k-1)u(k-1)+u(k-1)+0.6u(k-2) + d(k),$$

where $d(k)$ is a disturbance.

Type: 

Form: 

Model order: 

2

Time domain: 

Linearity: 

Publication details: 

TitleAdaptive Bilinear Model Predictive Control
Publication TypeConference Paper
Year of Publication1986
AuthorsYeo, Y.K., and Williams D.C.
Conference NameAmerican Control Conference, 1986
Date Published06/1986
PublisherIEEE
Conference LocationSeattle, WA
Keywordsadaptive control, control system synthesis, Delay, Error correction, Least squares approximation, Mathematical model, parameter estimation, predictive control, Predictive models, Programmable control
AbstractAn adaptive controller for bilinear plants without delay and with stable inverses is defined based upon a bilinear model predictive control law and a classical recursive identification algorithm. For the case with no disturbance both the control error and the identification error converge to zero. For the case with a bounded disturbance, the control error is bounded and the identification converges. For the case with a constant disturbance, the control error often converges to zero and the identification converges.
URLhttp://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=4789155&queryText%3DADAPTIVE+BILINEAR+MODEL+PREDICTIVE+CONTROL