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The Attracting Ellipsoid Method is applied for the design of sliding mode controllers for linear systems subjected to matched and unmatched perturbations. The control signal is applied to the system through a first order actuator whose time is to be designed to guarantee quasi-optimal practical stability at the same time that the control signal posses a sub-optimal amplitude. The design procedure...
The Attracting Ellipsoid Method is applied for the design of sliding mode controllers for linear systems subjected to matched and unmatched perturbations. The existence of first order actuators is considered and their time constants are designed to provide quasi-optimal practical stability. The technique is based on the existence of an attracting (invariant) ellipsoid such that the convergence to...
In this article a methodology for the design of the sliding surface and controller gain for standard sliding modes in the presence of fast actuators is presented. The technique of invariant ellipsoid and linear matrix inequalities (LMI) are used to solve the problem.
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