“…Several research works have been explored to develop control synthesis frameworks for TRMS. Some of them can already be found in the literature (see Feedback, 2010; Pratap and Purwar, 2012; Wen and Li, 2011; Tao et al , 2010a, b; Ramalakshmi and Manoharan, 2012; Chalupa et al , 2015; Rahideh et al , 2008; Shaik et al , 2011; Pratap et al , 2012; Gadewadikar et al , 2009; Usman et al , 2014; Juang et al , 2008a, b, 2011; Meena and Janardhanan, 2011; Huang, 2011; Mondal and Mahanta, 2012; Butt and Aschemann, 2015; Rahideh et al , 2012; Yang et al , 2016; Butt et al , 2015; Wen and Lu, 2008; Pradhan and Ghosh, 2013; Nasir and Tokhi, 2015). A linear-quadratic regulation (LQR) optimal controllers were also designed in Tao et al (2010b) and Pratap et al (2012) but the prescribed degree of stability concept was not discussed in any of the paper.…”