Fractional order pida controller design via heuristic algorithms and improvement of the disturbance rejection performace

Various control system design models have been developing for years to improve the control performance of the systems. Especially in sensitive control applications, improving the disturbance rejection performance of these control system models, has also been an important research topic. In this thesis, studies have been conducted on the design of PIDA controllers, which are claimed to be effective in controlling high-order systems, and on improving the disturbance rejection performance. For this purpose, at first, the integer order and then the fractional order versions of these controllers are studied. In this context, in Section 3, a method was developed for determining the PIDA controller parameters with the PSO algorithm. The performance of the PIDA controller obtained with this design method was compared with the Gradient search and Genetic algorithm optimization methods in the literature. The simulation results were shown that the proposed design method performs better. In addition, the optimum PIDA controller is designed with SOS algorithm and its disturbance rejection performance has been shown to be better than Gradient Search algorithms. Than, PIA controller parameters has been computed with the RA optimization algorithm by providing a compromise between the RDR criterion and control error, and it has been shown that unit step settlement control performance and disturbance rejection performances can be improved together. In another study, two degrees of freedom closed-loop PIDA control system with reference input filter has been designed based on RDR analysis using the RA algorithm, where unit step reference input control performance and disturbance rejection performances can be improved together. In Section 4, the methods proposed in the previous section are adapted to the fractional-order versions of the controllers. In this context, KDPID has been designed for a two degree of freedom control system and the disturbance rejection performance has been improved. Then, the consensus curve-oriented UORA algorithm has been proposed for the design of 2DOF KDPIDA control system with reference input filter. A design technique has been proposed using this algorithm in the RDR spectrum guide, in which both reference input control performance and disturbance rejection performance of the KDPIDA controller can be improved together. Keywords: Fractional Order PIDA Controller, Optimization, Disturbance Rejection.