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predefined Exponential Basis Set for Half-Bounded Multi Domain Spectral Method

Applied Mathematics 2010年第3期1卷 146-152页

作者： Fahhad Alharbi 不详

A non-orthogonal predefined exponential basis set is used to handle half-bounded domains in multi domain spectral method (MDSM). This approach works extremely well for real-valued semi-infinite differential problems. It spans simultaneously wide range of exponential decay rates with multi scaling and does not suffer from zero crossing. These two conditions are necessary for many physical problems. For comparison, the method is used to solve different problems and compared with analytical and published results. The comparison exhibits the strengths and accuracy of the presented basis set.

关键词： Multi-Domain Spectral Method Meshfree Numerical Method Non-Orthogonal predefined Exponential Basis Set Half-Bounded Domain Exponential Decay Quantum Wells Optical Waveguide

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Prescribed Performance Control of One-DOF Link Manipulator With Uncertainties and Input Saturation Constraint

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IEEE/CAA Journal of Automatica Sinica 2019年第1期6卷 148-157页

作者： Yang Yang Jie Tan Dong Yue IEEE the College of Automation and the College of Artificial Intelligence Nanjing University of Posts and Telecommunications the Institute of Advanced Technology and Jiangsu Engineering Laboratory of Big Data Analysis and Control for Active Distribution Network Nanjing University of Posts and Telecommunications

In this paper, we mainly address the position control problem for one-degree of freedom(DOF) link manipulator despite uncertainties and the input saturation via the backstepping technique, active disturbance rejection control(ADRC) as well as predefined tracking performance functions. The extended state observer(ESO) is employed to compensate uncertain dynamics and disturbances, and it does not rely on the accurate model of systems. The tracking differentiator(TD) is utilized to substitute the derivative of the virtual control signals, and the explosion of complexity caused by repeated differentiations of nonlinear functions is removed. The auxiliary system is used to deal with the control input limitation, and the tracking accuracy and speed are improved by predefined tracking performance *** the help of the input-to-state stability(ISS) and Lyapunov stability theories, it is proven that the tracking error can be gradually converged into arbitrarily small neighborhood of the origin, and the tracking error is adjusted by suitable choice of control parameters. The simulation results are presented for the verification of the theoretical claims.

关键词： Active disturbance rejection control (ADRC) auxiliary system backstepping technique input saturation predefined tracking performance function

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