Abstract
• Defining the hyperbolic control models. • Designing a stabilizer control for hyperbolic models. • Approximating the general form of the nonlinear control systems with a hyperbolic model. • Utilizing the designed hyperbolic control to stabilize the nonlinear systems . In this paper, a new approach to design a stabilizer control for nonlinear systems is presented. First, the general form of the nonlinear control systems is approximated with a hyperbolic model. Then, by a feedback technique, a stabilizer control for the hyperbolic system is obtained. It is shown that this control can stabilize the original nonlinear control system. Finally, by some illustrative examples, the efficiency of the presented approach is demonstrated.
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