MESA LAB ICFDA’14 Paper Review (On selected two papers) Zhuo Li MESA LAB MESA (Mechatronics, Embedded Systems and Automation) LAB School of Engineering, University of California, Merced E: Lab: CAS Eng 820 (T: ) Jun 30, Monday 4:00-6:00 PM Applied Fractional Calculus Workshop MESA UCMerced

MESA LAB Interesting titles Fractional order controller design for a large class of process models Vicente Feliu-Batlle, Raul Rivas-Perez, Fernando J. Castillo-Garcia, “Robust fractional- order temperature control of a steel slab reheating furnace with large time delay uncertainty” Robust Factional Order PID Controllers: The First Generation CRONE CSD Approach Victor Kubyshkin and Sergey Postnov, “Optimal Control Problem for Linear Fractional- Order Systems” Gain and Order Scheduled Fractional-order PID Control Of Fluid Level in a Multi-Tank System Slide-2/1024 AFC Workshop UCMerced 04/21/2014

MESA LAB Paper I 04/21/2014 AFC Workshop UCMerced Slide-3/1024

MESA LAB Paper I 04/21/2014 AFC Workshop UCMerced Slide-4/1024

MESA LAB Argument 04/21/2014 AFC Workshop UCMerced Slide-5/1024

MESA LAB General design specifications 04/21/2014 AFC Workshop UCMerced Slide-6/1024

MESA LAB My doubt 04/21/2014 AFC Workshop UCMerced Slide-7/1024

MESA LAB Paper II 04/21/2014 AFC Workshop UCMerced Slide-8/1024

MESA LAB Paper II Reasons why it is interesting to me 04/21/2014 AFC Workshop UCMerced Slide-9/1024 Let’s read its conclusion “This paper presented the Control System Design of controller using the frequency- domain approach. He focuses on PID, fractional order PID and then on first generation CRONE controllers. Fractional order controllers provide more tuning parameters that are used for the robustness purpose by the CRONE methodology. First generation CRONE controllers can be used for plants with magnitude uncertainty and constant phase. When the plant phase varies with respect to the frequency, the second CRONE generation design can be used. It proposes a required nominal open-loop transfer function defined from that of a fractional order integrator. Complex fractional orders have been used to develop the CRONE approach [19, 20, 21, 5] and other approaches [2]. The third CRONE generation design has been developed for plants with both gain and phase uncertainties. Today, the CRONE CSD permits to tackle non-minimum phase, time delay, unstable or undamped plants [5, 7, 21] and linear time varying plants [29]. It has been extended for the control of MIMO plants [6, 16].”

MESA LAB Academic parallel 04/21/2014 AFC Workshop UCMerced Slide-10/1024

MESA LAB Serial 04/21/2014 AFC Workshop UCMerced Slide-11/1024

MESA LAB The first generation CRONE methodology 04/21/2014 AFC Workshop UCMerced Slide-12/1024

MESA LAB Summary To sum up, this CRONE controller is robust even if it requires a greater control level and more time to reject an input disturbance. It illustrates perfectly the robustness/performance trade-off. 04/21/2014 AFC Workshop UCMerced Slide-13/1024