H∞ Robust Constrained Control of fuzzy-based Continuous-Time Nonlinear Systems

This article presents an $H_{\infty}$ -based fuzzy constrained control of nonlinear systems affected by uncertainties and disturbances. To achieve constrained performance, the fuzzy model of the nonlinear actuator saturation is used. That is, without the online computation or the limitation on the initial condition of the system states, the physical limitations of the control amplitude are considered in the design process. Moreover, the uniformly ultimate bounded (UUB) stability of the nonlinear system is ensured due to the Lyapunov theory. More precisely, a new one-step offline LMI problem is provided to guarantee the closed-loop stability and to reach robust and constrained performance. Two practical systems are employed to show the superiority of the proposed robust controller.