It is well-known that sliding mode control is robust to matched uncertainties that lie in the range space of the input matrix. However many systems are affected by mismatched uncertainties and yet do not enjoy the matching conditions. It is the purpose of this paper to present a new dynamical approa
Sliding mode controller for linear systems with mismatched time-varying uncertainties
β Scribed by Mei-Lang Chan; C.W. Tao; Tsu-Tian Lee
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 122 KB
- Volume
- 337
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
A new design approach of a sliding mode controller for linear systems with mismatched time-varying uncertainties is presented in this paper. The coe$cient matrix of the sliding function can be designed to satisfy a new matching condition provided time-varying uncertainties are bounded. It is shown that the system is invariant on the sliding surface. It is also shown that the stability of the closed-loop system is guaranteed. Moreover, the chattering around the sliding surface in the sliding mode control can be reduced by the proposed design approach. Simulation results are included to illustrate the e!ectiveness of the proposed sliding mode controller.
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