This paper presents the modified quadruple-tanks process, a flexible laboratory process with an adjustable Simulink block, which is multivariable system consisting of four interconnected water tanks included with lower interacting valve. The new general form of modified quadruple-tanks mathematic model and Simulink block is developed for the advantage of control system analysis and design which can make practical use for many styles of multivariable process by adjusting the value of connected valve resistance, inlet and outlet valve ratio. In this paper described clearly about physical properties of modified quadruple-tanks process, mathematical modeling, transformation of modified quadruple-tanks process, analysis of right half-plane zeros characteristic and controller design for multivariable system. By the several models of transformed modified quadruple-tanks, they can be used to teach students in the skills of multivariable control system analysis and design, understanding control limitation due to interactions, model uncertainties, non-minimum phase behavior, and unpredictable time variations, design decentralized controllers, Implementing decouples to reduce the effect of interactions, and understanding their limitations.

This paper presents an adaptive fractional order PI λ D μ control for multi-configuration tank process (MCTP) toolbox which aims at demonstrating the problem of reference tracking and cross coupling rejection in multi-input-multi-output system. Moreover, we investigate the cases where the system is in the mode of minimum phase and non-minimum phase configuration. Besides providing theoretical control system analysis and design, we develop the multi-configuration tank process software toolbox for providing the non-linear functions of dynamic models of multi-configuration tank process which is the advantage tool for investigating the performances of the controllers. The software toolbox is developed from discrete state P-file S-function which is operated within the MATLAB environment for providing many non-linear functions of dynamic models of multi-configuration tank process such as multi-input multi-output quadruple tank full-interacting process, multi-input multi-output quadruple tank process, multi-input single-output triple tank interacting process, multi-input multi-output coupled tank interacting process. All actual process attributes are encapsulated in S-function as the input parameters, thus the multi-tank function block can be simply adjusted by specifying the physical properties of the tank system. The study explains about the mathematical model of multi-configuration tank process, nonlinear dynamic characteristic, minimum phase and non-minimum phase configuration, software toolbox features and also describes the design of the adaptive fractional order PI λ D μ controller including the performance validation. The results have been illustrated that the proposed controller design scheme can provide the sufficient effectiveness in the performance, stability and robustness. Furthermore, these tests reinforce the usefulness of MCTP toolbox as a complete simulation tool for users to perform an engineering research of multi-configuration tank control system analysis and design, moreover, it contains very useful for validating the control algorithm of multi-input-multi-output system.

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This paper presents a design technique for the two degree of freedom (2-DOF) control system using PID (Proportional-Integral-Derivative) x (n-2) stage PD as a cascade controller for the nfh order plant. It is intended to satisfy both transient and steady state response specifications based on the root locus approach. This controller can be used instead of a conventional PID controller to obtain better performance without relying upon any tuning methods. The overall system is approximated as a stable and robust second order system. The cascade controller gain can be adjusted to meet faster responses with a little or no overshoot. The simulation results show that the desired performances are achieved. The merit of this approach for the plant with uncertain parameters is also shown.

This paper presents the designing of the digital controller compare with analog controller for Inverted Pendulum System. The digital controller that presented is discrete optimal H 2 controller by discretizing plant then applied it with digital controller design technique, as DLQR, DLQE and DLQG follow state-space approach including addition of the quadratic derivatives of state variables term in the usual standard performance index for Linear Quadratic Gaussian optimal control as an extra weighting function to play the role in swing suppressor. The results revealed that the swing of the Pendulum's angle can be decreased at numerous requirements with excellence. How to select the suitable weights for control is also suggested.