Output feedback stabilization of hydraulic drives based on bilinear approximations and canonical observers

Author(s):  
H Schwarz

This paper deals with the control of hydrostatic drives on the basis of bilinear models. It is shown that by using bilinear models a considerably better approximation of the non-linear behaviour of hydraulic drives can be achieved compared with common linear models. The bilinear model approach gives rise to control results valid not only for fixed operating points but also for the complete operation range of the drives. In particular, an output feedback using a canonical observer and quadratic state feedback is proposed. A separation theorem for this non-linear control scheme similar to that for linear systems is proved, i.e. the dynamics of the observer and of the controlled plant are adjustable separately.

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1340
Author(s):  
Dong Min Jeong ◽  
Sung Jin Yoo

A decentralized adaptive resilient output-feedback stabilization strategy is presented for a class of uncertain interconnected nonlinear systems with unknown time-varying measurement sensitivities. In the concerned problem, the main difficulty is to achieve the decentralization of interconnected output nonlinearities unmatched to the control input by using only local output information corrupted by measurement sensitivity, namely the exact output information cannot be used to design the decentralized output-feedback control scheme. Thus, a decentralized output-feedback stabilizer design using only the corrupted output of each subsystem is developed where the adaptive control technique is employed to compensate for the effects of unknown measurement sensitivities. The stability of the resulting decentralized control scheme is analyzed based on the Lyapunov stability theorem.


2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Mingyue Cui

This paper focuses on the problem of adaptive output feedback stabilization for random nonlinear systems with unmodeled dynamics and uncertain nonlinear functions driven by colored noise. Under the assumption of unmodeled dynamics having enough stability margin, an adaptive output feedback stabilization controller is designed based on a reduced-order observer such that the state of the closed-loop system has an asymptotic gain in the 2-th moment (AG-2-M) and the mean square of the output can be made arbitrarily small by tuning parameters. A simulation example is used to illustrate the effectiveness of the control scheme.


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