Proportion integral-type active disturbance rejection generalized predictive control for distillation process based on grey wolf optimization parameter tuning

The high-purity distillation column system is strongly nonlinear and coupled,which makes it difficult to control.Active disturbance rejection control(ADRC)has been widely used in distillation systems,but it has limitations in controlling distillation systems with large time delays since ADRC employs ESO and feedback control law to estimate the total disturbance of the system without considering the large time delays.This paper designs a proportion integral-type active disturbance rejection generalized predictive control(PI-ADRGPC)algorithm to control the distillation column system with large time delay.It replaces the PD controller in ADRC with a proportion integral-type generalized predictive control(PI-GPC),thereby improving the performance of control systems with large time delays.Since the proposed controller has many parameters and is difficult to tune,this paper proposes to use the grey wolf optimization(GWO)to tune these parameters,whose structure can also be used by other intelligent optimization algorithms.The performance of GWO tuned PI-ADRGPC is compared with the control performance of GWO tuned ADRC method,multi-verse optimizer(MVO)tuned PI-ADRGPC and MVO tuned ADRC.The simulation results show that the proposed strategy can track reference well and has a good disturbance rejection performance.

Integral-type functionals of first hitting times for continuous-time Markov chains

We investigate integral-type functionals of the first hitting times for continuous-time Markov chains. Recursive formulas and drift conditions for calculating or bounding integral-type functionals are obtained. The connection between the subexponential integral-type functionals and the subexponential ergodicity is established. Moreover, these results are applied to the birth-death processes. Polynomial integral-type functionals and polynomial ergodicity are studied, and a sufficient criterion for a central limit theorem is also presented.

Moments of integral-type downward functionals for single death processes

We get an explicit and recursive representation for high order moments of integral-type downward functionals for single death processes.Meanwhile,main results are applied to more general integral-type downward functionals.

A HYBRID FIXED POINT RESULT FOR LIPSCHITZ HOMOMORPHISMS ON QUASI-BANACH ALGEBRAS

We shall generalize the results of [9] about characterization of isomorphisms on quasi-Banach algebras by providing integral type conditions. Also, we shall give some new results in this way and finally, give a result about hybrid fixed point of two homomorphisms on quasi-Banach algebras.

NUMERICAL INVESTIGATION ON EXTRUDATE SWELL FOR VISCOELASTIC FLUID: USING MAXWELL MODEL

The numerical investigation on extrudate swell through capillary die forviscoelastic fluid characteried by integral-type Maxwell constitutive equation was conducted byemploying the finite element method with the calculation of viscoelastic extra stress in theconventional finite element. The method of avoiding singularity was also adopted by integrating thestrain history of the Gauss points for each element near the wall and the free surface. Theconvergence solutions at high Weissenberg number can be obtained by using the appropriate methods toreduce errors and improve the speed of convergence of the calculation, which include adding arelaxation factor of velocity in iteration process, or enlarging the reference viscosity, orreducing the elapsed time. The highest Weissenberg number obtained here is up to 3. 8, while thesolution at the Weissenberg number of 3. 75 was given in the previous work with similar extrudateswell ratio and the exit pressure drop by using differential Maxwell model with Elastic-ViscousStress Split (EVSS) combined with Streamline Upwind Petrov-Galerkin (SUPG) scheme. The calculationsindicated that the method of dealing with integral consti- tutive equation introduced in this paperis suitable in simulating viscoelastic flow characterized by integral constitutive equation at highe-lastic level.

Coordinated attitude control for flexible spacecraft formation with actuator configuration misalignment

This paper investigates the coordinated attitude control problem for flexible spacecraft formation with the consideration of actuator configuration misalignment.First,an integral-type sliding mode adaptive control law is designed to compensate the effects of flexible mode,environmental disturbance and actuator installation deviation.The basic idea of the Integral-type Sliding Mode Control(ISMC)is to design a proper sliding manifold so that the sliding mode starts from the initial time instant,and thus the robustness of the system can be guaranteed from the beginning of the process and the reaching phase is eliminated.Then,considering the nominal system of spacecraft formation based on directed topology,an attitude cooperative control strategy is developed for the nominal system with or without communication delay.The proposed control law can guarantee that for each spacecraft in the spacecraft formation,the desired attitude objective can be achieved and the attitude synchronization can be maintained with other spacecraft in the formation.Finally,simulation results are given to show the effectiveness of the proposed control algorithm.