Istituto di Studi sui Sistemi Intelligenti per l'Automazione     
Punta E. Multivariable Second Order Sliding Mode Control of Mechanical Systems. In: 45th IEEE Conference on Decision and Control (San Diego (CA), USA, 13-15 December 2006). Proceedings, pp. 4939 - 4944. IEEE, 2006.
The paper proposes an approach to second order sliding mode control for multi-input multi-output (MIMO) nonlinear uncertain systems. With respect to standard sliding mode control, the second order sliding mode techniques for single-input single-output (SISO) systems show the same properties of robustness and precision, feature a higher order accuracy and can be exploited to eliminate the chattering effect. The extension of these results to the MIMO nonlinear systems is a challenging matter. In the present paper, the validity is extended to a quite large class of nonlinear processes affected by uncertainties of general nature; the control design is simple; the conditions of existence on the controllers are weak. The proposed procedure, which represents a general approach to the second order sliding mode control of MIMO systems, is applied to the control of mechanical systems.
DOI: 10.1109/CDC.2006.376980
Subject MIMO systems
control nonlinearities
control system synthesis
nonlinear control systems
uncertain systems
variable structure systems

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