HyonChol Kim,
KyongMin Yun,
ChangKol Chal,
- Faculty, Kim Il Sung University, Pyongyang, North Korea
- Student, Kim Il Sung University, Pyongyang, North Korea
- Student, Kim Il Sung University, Pyongyang, North Korea
Abstract
In this paper, it is generally believed that sliding switching surfaces should reflect the design parameters of the system in variable structure control, and the control characteristics are the way to constrain the state on sliding switching surfaces. In the literature, classical sliding (primary sliding) is considered that sliding-switching surface is the same as the characteristic equation of the closed-loop system, and the design of the control system is reflected in accordance with the characteristic equation of the sliding-switching surface. The corresponding modes are referred to as SMs, and the technique is centred on high-frequency (or theoretically infinite frequency) control switching. SMs are often established in a finite amount of time, are accurate, and are insensitive to matching disturbances. The primary disadvantage of the technique is the potential for hazardous system vibrations caused by the control switching, sometimes known as the “chattering effect.” Additionally, sliding variables of relative degree 1 and relay control form the foundation of standard SMs. But it is very difficult to set up to reflect the characteristics of the control system due to the differentiability because the switching surface is represented by discrete nonlinear (natural nonlinear) differential equations. So, in the previous sections, controller structures of high order sliding mode were introduced but the method of determining the controller parameters was not presented. Therefore, we propose the method of determining parameters in the use of high order sliding mode which is superior to classical sliding mode for free vibration and the shortest time problems with the help of simple mathematical knowledge. As a result, this paper will concretize the design of controllers more exactly.
Keywords: Nonlinear control system; Sliding mode (SM); Robustness; High-order sliding mode (HOSM); Single-input single-output (SISO); Multiple-input multiple-output (MIMO)
[This article belongs to Trends in Electrical Engineering(tee)]
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Trends in Electrical Engineering
Volume | 14 |
Issue | 02 |
Received | July 16, 2024 |
Accepted | August 8, 2024 |
Published | November 24, 2023 |