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In this paper, the problem of designing a variable structure control is investigated for uncertain polytopic systems with time-delay. Firstly, by employing linear matrix inequality (LMI) method, a sufficient condition is derived for the existence of linear sliding model. Secondly, the variable structure control law is designed, which not only guarantees the system to reach the sliding model in finite...
The method of the synthesis of multi-channel adaptive variable structure system with the sliding mode for the centralized control of spatial motion of the complex mechatronic object is developed in this paper. The conditions of the existences of stable sliding mode with the presence of essential dynamic reciprocal effect between all control channels are obtained and strictly proved. The new law of...
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