Robust Stability of Fractional Order Time-Delay Control Systems: A Graphical Approach. (15th September 2015)

• Record Type: Journal Article
• Authors: Matušů, Radek; Prokop, Roman
• Other Names: Kar Haranath Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-09-15
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/847210
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The paper deals with a graphical approach to investigation of robust stability for a feedback control loop with an uncertain fractional order time-delay plant and integer order or fractional order controller. Robust stability analysis is based on plotting the value sets for a suitable range of frequencies and subsequent verification of the zero exclusion condition fulfillment. The computational examples present the typical shapes of the value sets of a family of closed-loop characteristic quasipolynomials for a fractional order plant with uncertain gain, time constant, or time-delay term, respectively, and also for combined cases. Moreover, the practically oriented example focused on robust stability analysis of main irrigation canal pool controlled by either classical integer order PID or fractional order PI controller is included as well.