Adaptive Reduced Dimension Fuzzy Decoupling Control Method with Its Application to a Deployable Antenna Panel

Abstract

This paper addresses the multiple-input multiple-output (MIMO) control problem with an active deformation adjustment mechanism on a 5-metre deployable antenna panel. An adaptive reduced-dimension fuzzy decoupling (ARDFD) control strategy based on fusion functions is proposed to eliminate the effects uncertainties due to coupled subsystems by designing and incorporating a fuzzy decoupling disturbance observer. Moreover, the MIMO system can be decomposed into a number of single-input single-output (SISO) systems using the unit diagonal matrix decoupling theory. Based on Lyapunov stability theory, it was shown that the error of fuzzy interference observer and the error between the fuzzy rule post parameter matrix and optimal post parameter matrix converge to a small region. Results of the simulation also show that the ARDFD control strategy can significantly eliminate adverse effects of the coupled subsystems.

Control of a Multivariable System Using Optimal Control Pairs: A Quadruple-Tank Process

“…The eventual values given in (73) indicates (for P 1 ) that the determined control pairs y 1 -u 1 and y 2 -u 2 should yield the stability of the feedback control loop. Values of CN for P 2 provided to the reader in (72) indicate that the MIMO controlled plant can be decoupled when using the RGA tool (CN P 2 1 < 10); however, condition number CN P 2 2 > 10 resulting from the RNGA yields that the MIMO controlled plant might be ill-conditioned and, hence, difficult to be controlled, which has also been verified by simulation experiments. Therefore, eventual optimal control pairs are determined based on only the RGA tool but not the RNGA one.…”

“…Note that special ad-hoc decoupling schemes for systems with delays, nonlinear or complex systems, have also been proposed, see, e.g., [65]- [67]. Other modern techniques include, inter alia, bio-inspired [68], [69] adaptive [70], [71], fuzzy [72], [73], or neural network [74] decoupling control. The reader is referred to [45], [75] for further details.…”

Fuzzy Neural Network Q-Learning Method for Model Disturbance Change: A Deployable Antenna Panel Application

“…In [12], an adaptive reduced dimension fuzzy decoupling control strategy based on fusion functions was proposed to eliminate the effect uncertainties due to coupled subsystems by designing and incorporating a fuzzy decoupling disturbance observer. But the method would no longer be applicable, for the disturbances were greater than the range of the set threshold.…”

“…According to Equation (27), the new displacement X P ðk + 1Þ can be obtained. And then, the new error eðk + 1Þ and the rate of the error ecðk + 1Þ can be derived based on Equations (12) and (13). The reward value vector r can be obtained based on Equation (24).…”