Page 260 - Mathematical Techniques of Fractional Order Systems
P. 260

Chapter 9





             Design of Fractional Order


             Fuzzy Sliding Mode Controller
             for Nonlinear Complex Systems




                                             2,3
                          1
             Jitendra Kumar , Ahmad Taher Azar , Vineet Kumar 1
             and Kamal Pal Singh Rana 1
             1                                                   2
              Instrumentation and Control Engineering Division, Dwarka, New Delhi, India, Faculty of
                                                     3
             Computers and Information, Benha University, Benha, Egypt, School of Engineering and
             Applied Sciences, Nile University, Giza, Egypt
             9.1  INTRODUCTION
             Rapidly growing complexity of modern engineering systems leads to very
             high demands on the design and control of nonlinear systems (Azar and
             Vaidyanathan, 2015a,b,c, 2016; Azar and Zhu, 2015; Meghni et al, 2017a,b,
             c; Boulkroune et al, 2016a,b; Ghoudelbourk et al., 2016; Azar and Serrano,
             2014, 2015a,b,c,d, 2016a,b, 2018; Azar et al., 2017a,b, 2018a,b; Azar 2010a,
             b, 2012; Mekki et al., 2015; Vaidyanathan & Azar, 2015a,b,c,d, 2016a,b,c,d,
             e,f,g, 2017a,b,c; Zhu and Azar, 2015; Grassi et al., 2017; Ouannas et al.,
             2016a,b, 2017a,b,c,d,e,f,g,h,i,j; Singh et al., 2017; Vaidyanathan et al, 2015a,
             b,c; Wang et al., 2017; Soliman et al., 2017; Tolba et al., 2017).
                Researchers and scientists always find an efficient method for control-
             ling nonlinear complex systems. For more than seven decades, linear pro-
             portional integral and derivative controllers (PID) have been used to
             control complex plants but this controller was not able to give satisfactory
             results for nonlinear, time-varying, uncertain, and complex systems.
             Several nonlinear classical controllers, such as gain scheduling, model ref-
             erence adaptive control (MRAC), self-tuning regulator (STR), sliding mode
             controller (SMC) etc., have been developed to control these types of sys-
                   ˚
             tems (Astro ¨m and Wittenmark, 2008; Khalil, 1996; Utkin, 1977). Out of
             these control techniques, the sliding mode controller became quite popular
             among the researchers and scientists because it shows robust behavior.
             SMC is a type of variable structure controller where the fundamental design
             is based on the Lyapunov stability theory and due to that it guarantees the



             Mathematical Techniques of Fractional Order Systems. DOI: https://doi.org/10.1016/B978-0-12-813592-1.00009-X
             © 2018 Elsevier Inc. All rights reserved.                   249
   255   256   257   258   259   260   261   262   263   264   265