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A new robust predictive controller formulation that minimizes rate constraint violation while guaranteeing stabilization and input constraint satisfaction from an explicitly characterized stability region is designed.
Then, constraints are incorporated in the MPC design which ensure that: (1) the states of the closed-loop process, at the time of the transition, reside in the stability region of the mode that the process switches into, and (2) the value of the Lyapunov function of the process for each of the modes is nonincreasing whenever the mode is active, thereby guaranteeing stabilization.
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We propose a Lyapunov-based predictive control design that guarantees stabilization and state and input constraint satisfaction for all times from an explicitly characterized set of initial conditions.
Furthermore, it is confirmed that a PWT-efficient riser bottom pressure (Prb) anti-slug control strategy has to guarantee stabilization of the mass inflow rate to the separator (ωsep,in) for archiving acceptable hydrocyclone separation.
The main idea is to design Lyapunov-based predictive controllers for each of the constituent modes in which the switched process oPerates, and incorporate constraints in the predictive controller design of the individual modes which ensure that transitions between the modes at pre-deterrnined switching times occur in a way so as to guarantee stabilization of the switched closed-loop process.
And fourth, we propose an appropriate choice of the stabilization parameter to guarantee stability and accuracy for the proposed method.
Furthermore, considering the practical problems arising from the implementation of such a feedback, a control law from the output guaranteeing semiglobal stabilization, i.e., for any initial condition in a chosen region, is proposed.
The stabilization of the anode voltage is necessary to guarantee the stabilization of the feedback capacitor; moreover, the implemented design allows to obtain a sufficiently fixed decay time constant of the preamplifier with respect to rate variations.
By using an input delay approach, an equivalent system is constructed to convert the guaranteed cost consensus problem to a guaranteed cost stabilization problem.
By application of the proposed sector condition and rigorous regional stability analysis, control and adaptation laws are formulated to guarantee local stabilization of a nonlinear system under actuator saturation.
The state feedback switching law is designed to guarantee the stabilization of the switched positive linear systems associated with the Schrödinger operator.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com