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Internal model control based sliding mode controller design for unstable second order delayed processes with a case study on CSTR

Ali Mohammed Hasmat, Anwar Md Nishat

Archives of Control Sciences

2024

Vol. 34, No. 4

805--831

Controlling the unstable processes is challenging since one or more poles are located on the right side of the s-plane. The existence of dead time in these systems makes control much more difficult. In this paper, internal model control based sliding mode control has been proposed for the control of unstable processes with dead time. Two sliding surfaces based on PID and PIDPI are used to design of the proposed controller. The parameters of continuous and discontinuous control law are obtained using differential evolution optimization technique. An objective function is constituted in terms of performance measure (integral absolute error) and control effort measure (total variation of controller output). Illustrative examples demonstrate the superiority of the proposed controller over earlier reported work in this realm, especially in terms of load disturbance rejection. A case study on temperature management of a continuous stirred tank reactor during an irreversible exothermic process also serves to highlight the applicability of the proposed system. Furthermore, robustness of the proposed controller is also investigated by inclusion of perturbations in the parameters. The obtained results clearly show how well the suggested controller works.

Novel robust control design for unstable systems with dual pole and dual zero

Zhang X., Zhang G.

Control and Cybernetics

2013

Vol. 42, no. 3

613--625

In this note, a novel robust control design for a class of unstable systems with dual pole and dual zero is addressed. In the algorithm, αfeedback node was moved from the interior of the controlled plant to its right-hand side. Then, the closed-loop gain shaping algorithm was used to design the feedback transfer function. Consequently, controller and the controlled plant have clear physical meaning and are easily tuned. Simulation results show that the control effects are better than for the previous modification, the system can have rapid settling time with no overshoot, zero steadystate error and satisfactory robust stability to model perturbation and disturbance. The method has the advantages of simple and efficient design, and it was also successfully applied to control static unstable missile.