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Dynamic Feedback Linearization (DFL) based controller design is one of the most popular methods in the field of active magnetic bearings (AMB).
In this paper, the method of passivity based controller design, is introduced according to passivity, EL (Euler-Lagrange) and PCHD(Port Controlled Hamiltonian with Dissipation) model of nonlinear system.
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Nonlinear reduced order models for the fast and slow dynamics that can be used for model based controller design are also derived.
A novel stability condition based on an NN-based controller design is derived to ensure the stability of the nonlinear system.
The observer-based controller design is obtained based on linear copositive Lyapunov functional and the trajectory approach.
As a main feature, it is observed that the steady state control command is completely dependent on the setpoint, so error-based controller design is not applicable to this case.
A CLF-based controller design is also proposed to handle infinity-norm input constraints.
In view of the deficiencies in existing internal model control (IMC -based methods for load dIMC -based rejection for integrating and unstable processes with slow dynamethods modiford IMC-based controload disturbancerejectiono deal with step- or ramp-type load disturbance that is oforn encountered integratinging prandices.
And a new Linear Matrix Inequality (LMI) based controller design method is presented.
By comparing with the Monte Carlo simulations (MCS) and the robust design approach, the accuracy of proposed reliability index and the applicability of the developed reliability based controller design method are demonstrated in two numerical examples.
LMI and NLMI based controller design methods have been applied to three tank system in literature.
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