Titlebook: Sliding Modes in Control and Optimization; Vadim I. Utkin Book 1992 Springer-Verlag Berlin, Heidelberg 1992 Regelung.control.control syste

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Scope of the Theory of Sliding Modesl equations describing their dynamics feature discontinuities with respect to the current process state. A typical example of such a system is a dry (Coulomb) friction mechanical system whose force of resistance may take up either of the two sign-opposite values depending on the direction of the mot

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Stability of Sliding Modess. The equations of sliding mode, or the set of such equations in ambiguous cases, found in those chapters only indicate the possibility for this type of motion to exist. Let us now proceed directly to finding the conditions for further motion to be a sliding mode, should the initial state be on the

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Singularly Perturbed Discontinuous Systemsn many cases they may be reduced to a lower order model by neglecting small time constants or rejecting fast components of the system overall motion. Fast motions may, for instance, be caused by small impedances in equations of electromechanical energy converters [155], time constants of electric mo

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Systems with Scalar Controlspecial case to systems with one-dimensional control . where .∈ℝ., . is (n x 1)-dimensional column vector, and the pair {., .} is controllable. For the system (8.1) we present a design procedure that differs from the procedure of Chap. 7 and allows one to realize stable sliding modes with desirable

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Control of Linear Plants in the Presence of Disturbancesles. Accordingly, the behaviour of control system in the case of linear controlled plant is described by linear non-homogeneous differential equation . where . (.) ∈ℝ. is the vector characterizing external actions. If the error coordinates are substituted in the state vector for the controlled varia

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Systems with High Gains and Discontinuous Controlstion may be decoupled with respect to some attribute into partial components having smaller subspaces are especially attractive. Independent investigation of smaller-dimensionality problems enables a significant simplification of analysis and design of control systems.

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