Adaptive Fractional Order PIλDμ Control for Multi-Configuration Tank Process (MCTP) Toolbox

Abstract

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.

Control of a Multivariable System Using Optimal Control Pairs: A Quadruple-Tank Process

“…The quadruple tank (the schematic diagram of which is displayed in Fig. 5) is a widely used representative of such systems [13], [60], [79]- [85], that can be described by a TITO model with two disturbance variables. In Fig.…”

“…27. Simulation results for the centralized inverted PI decoupling controller (85) are provided in Fig. 28.…”

“…The quadruple tank is another typical representative of the MIMO process [13], [79]- [82]. Various centralized [83], decentralized [60] control strategies or their comparisons [84] were published; however, a simplified decoupler was mostly used [60], [85]. Some researchers deservingly pointed out that non-minimum phase controlled plant operating points may occur here [81], [83], [85].…”

“…Various centralized [83], decentralized [60] control strategies or their comparisons [84] were published; however, a simplified decoupler was mostly used [60], [85]. Some researchers deservingly pointed out that non-minimum phase controlled plant operating points may occur here [81], [83], [85]. However, according to the authors' best knowledge, very few results introduced disturbances for this coupled-tank process and attempted to deal with their rejection or attenuation [60].…”

“…Control responses for operating point P 1 when using centralized inverted PI decoupling controller(85), with correction members KC (87) providing absolute invariance of the control loop.controller(96) are combined with various G KC (s). Similarly, another filtered decoupler (91) followed by controller (97) is applied for Figs.…”