Higher Order Sliding Mode Control-Based Finite-Time Constrained Stabilization
| Autor: | Shyam Kamal, Ragini Patel, Jyoti P. Mishra, Jitendra Kumar Goyal, Xinghuo Yu, Sandip Ghosh |
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| Rok vydání: | 2020 |
| Předmět: |
Physics
0209 industrial biotechnology Degree (graph theory) Mathematical analysis Sigma Order (ring theory) 02 engineering and technology Interval (mathematics) Space (mathematics) Sliding mode control Nonlinear system 020901 industrial engineering & automation Exponential stability 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Electrical and Electronic Engineering |
| Zdroj: | IEEE Transactions on Circuits and Systems II: Express Briefs. 67:295-299 |
| ISSN: | 1558-3791 1549-7747 |
| DOI: | 10.1109/tcsii.2019.2903495 |
| Popis: | This brief addresses the problem of finite-time constrained stabilization of nonlinear systems with matched uncertainties. The constrained stabilization refers to designing of higher order finite-time control law such that the output $ {\sigma }$ of the system remains in some prescribed range, i.e., $ {\sigma \in (- c, c)}$ , ${c}$ is chosen as constant while all the higher derivative of the output $ {\sigma }$ satisfy, ${\sigma }=\ddot {\sigma }= \cdots =\dot {\sigma }^{n}=0$ in some finite interval of time. The above problem of relative degree ${n}$ with respect to output $ {\sigma }$ cannot be directly solved by using higher order sliding mode control. Therefore, a new coordinate transformation has been proposed in this brief to reduce the relative degree of such systems by one in some pre-specified range of space. However, in the remaining space, the problem of stabilization can be solved by higher order sliding mode controller having the same relative degree. The segway application is considered as an example to demonstrate the efficacy of the proposed theory. |
| Databáze: | OpenAIRE |
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