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Definition of "sliding mode control" |
a discontinuous control in which a sliding mode is deliberately induced. The design of a sliding mode controller consists of two phases. In the first phase, a sliding surface is specified by a designer. Then, in the second phase, feedback gains are selected so that the controlled system’s trajectories are driven toward the sliding surface. The role of a sliding mode controller is to drive the system’s trajectories to the surface and to maintain them on the surface, in sliding mode, for all subsequent time. While in sliding, the system is not affected by matched uncertainties. Furthermore, the system in sliding is governed by a reduced set of differential equations. This is called the order reduction, and it is a very useful feature in designing sliding mode controllers. |
Definition of "sliding-mode control" |
a bang-bang control technique that confines the state space trajectory to the vicinity of a sliding line. Assuming a second-order system, the sliding line is defined as ax1 + bx2 = 0, where x1 and x2 are the state variables and a and b are constant coefficients determined by the desired control law. The sliding line exists if the trajectories of the subcircuits on either side of the line are directed toward the sliding line. The sliding line is stable if the motions along the sliding line are toward an operation point. The ideal overall trajectory is independent of the trajectories of the subcircuits. |
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