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Design of an Intelligent Global Terminal Backstepping Controller without Derivative for a Class of Input Constrained High-Supersonic Missiles

A new intelligent global terminal backstepping design method is proposed for a class of high-supersonic missiles. It has several advantages as follows. Firstly, the differential bomb problem is avoided because of the no time derivative design concept. So the control law is simplified and the system becomes more stable and robust. Secondly, by adopting the global terminal control rule, a quantitative analysis about the convergence time of each step that the state of system need to converge to equilibrium is discussed based on the popular backstepping design and stable analysis. At last, by adopting the soft function and intelligent rule of regulation for parameters of controller, the high gain problem and input saturation problem are solved successfully. The control law intelligently regulate the convergence time to make the control as small as possible to avoid the saturation of input. So the method is meaningful because it has solved the constrained input problem, differential bomb problem and high gain feedback problem successfully. And the numerical simulation shows the effectiveness of the proposed method.