“…Thus, the problem of stabilising systems subject to input saturation is of great significance and has received much attention in recent years (see, e.g. Ding, Qian, & Li, 2010;He, Chen, & Lan, 2007;Lan, Chen, & He, 2006;Lens, Adamy, & Domont-Yankulova, 2011;Marchand & Hably, 2005;Sontag & Sussmann, 1990;Teel, 1992 and the references therein). In early works, the attention is usually paid to designing optimal bounded controllers (Athans & Falb, 1966) or linear bounded controllers (mainly including linear anti-windup compensation Hu, Teel, and Zaccarian (2008), Kothare, Campo, Morari, and Nett (1994) and low-gain design method Lin and Saberi (1993)) for linear systems.…”