| J. Ackermann and V. Utkin, "Sliding mode control design based on Ackermann's formula." Made temporarily available as an internet resource, 1996. |
....to the switching surfaces and cannot leave them for the remainder of the motion. Most of the early works in the area is in the Russian literature (see Utkin [13] and the references within) Subsequently, various VSC algorithms 1 (Slotine [12] Bailey and Arapostatis [11] and Ackerman and Utkin [1]) have been successfully used for trajectory tracking problems. Successful results have been reported in terms of eliminating disturbances, addressing nonlinearities, and achieving acceptable control in the presence of modeling errors. A popular approach to developing VSCs for trajectory tracking ....
Ackermann, J and Utkin, V., "Sliding Mode Control Design Based on Ackermann's Formula," IEEE Transaction on Automatic Control, Vol.43, No.2, pp. 234-236, 1998. 15
....2000 1 Introduction It is widely realized that the dynamical behavior of discontinuous system in sliding mode is de ned by the design of the sliding surfaces. Within the conventional sliding mode theory this surface is selected mostly as a function of the system states, sometimes time varying [1], 8] but usually a hyperplane. However, this is not the only and maybe not the best way for design and it was shown that more complex switching surfaces may provide de nite advantages. For example Slotine and Spong in [18] added an integral term in sliding surface relation. The advantages of ....
J. Ackermann and V. Utkin. Sliding mode control design based on Ackermann's formula. IEEE Trans. Automatic Control, 43(2):234-237, 1998.
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J. Ackermann and V. Utkin, "Sliding mode control design based on Ackermann's formula." Made temporarily available as an internet resource, 1996.
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