In this paper, a new concept of invariant sliding sector is proposed for the design of discrete time sliding mode control. A methodology is developed which ensures the existence of the invariant sliding sector and conditions to guarantee the existence of the invariant sliding sector are derived. The second-order discrete sliding mode control systems are used to inform the discussion. Simulation results are presented to demonstrate the usefulness of the concept and effectiveness of the methodology proposed. It should be noted that most of the design procedure could be extended to higher order discrete sliding mode control systems. [S0022-0434(00)02004-9]
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