Harmonic oscillator utilizing double-fold integral, traditional and second-order sliding mode control |
| |
| Authors: | Yuri Shtessel Parisa Kaveh Ashkan Ashrafi |
| |
| Institution: | aDepartment of Electrical and Computer Engineering, 301 Sparkman Dr., The University of Alabama in Huntsville, Huntsville, Alabama 35899, USA;bDepartment of Bioengineering, 9500 Gilman Dr., The University of California, San Diego, La Jolla, California 92093-0412, USA;cDepartment of Electrical and Computer Engineering, 5500 Campanile Dr., San Diego State University, San Diego, California 92182, USA |
| |
| Abstract: | To stabilize both amplitude and frequency of the second-order harmonic oscillator double-fold sliding mode control is employed. The first, integral sliding mode control, is used to compensate for the disturbance/uncertainty, which is unmatched by the second control. The second sliding mode control is designed to achieve the stabilization of the harmonic oscillator system while the system is in the integral sliding mode. The first (integral) and second sliding mode controls are implemented in both formats: traditional sliding mode control that requires high-frequency oscillating control action and second-order sliding mode (super-twisting) control that is continuous and provides for the higher accuracy of stabilization. It is shown that the output of the double-fold sliding mode controlled second-order harmonic oscillator is robust to bounded disturbances and model parameter uncertainties. Computer simulations are performed to manifest the theoretical analysis. |
| |
| Keywords: | Harmonic oscillator Amplitude stabilization Frequency stabilization Robust control Sliding mode control |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
