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In this paper a strong Lyapunov function is obtained, for the first time, for the super twisting algorithm, an important class of second order sliding modes (SOSM). This algorithm is widely used in the sliding modes literature to design controllers, observers and exact differentiators. The introduction of a Lyapunov function allows not only to study more deeply the known properties of finite time...
A novel robust adaptive neural control approach is presented for a general class of strict-feedback nonlinear systems with both nonlinear uncertainties and virtual control gain nonlinearities that may not be linearly parameterized. A unified and systematic procedure is employed to derive a robust adaptive tracking controller by using of the backstepping technique and radial basis function neural networks...
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