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Robust output tracking control of nonlinear MIMO systems via sliding mode technique

Authors
Journal
Automatica
0005-1098
Publisher
Elsevier
Publication Date
Volume
28
Issue
1
Identifiers
DOI: 10.1016/0005-1098(92)90014-7
Keywords
  • Automatic Control
  • Variable Structure Systems
  • Nonlinear Control Systems
  • Nonlinear Systems
  • Robust Control
  • Stability
  • Smoothing
  • Linearization Techniques
Disciplines
  • Design

Abstract

Abstract The robust output tracking control problem of general nonlinear multi-input multi-output (MIMO) systems is discussed. The robustness against parameter uncertainties and unknown disturbances is considered. A second order sliding mode control (SMC) technique is used to establish the desired tracking. Input/output (I/O) linearization, relative degree, minimum phase and matching condition concepts are reviewed. Some earlier SMC strategies which are restricted to the systems in canonical form are extended to a much broader class of nonlinear dynamics. It is also shown that for unperturbed dynamics, the sliding phase of the SMC applications have a direct correspondence to the I/O linearization operations. Interesting parametric flexibilities emanate within the formation of the second order SMC, designating the “ s dynamics” and the “error dynamics” segments as frequency domain filters. However, a critical impasse is posed in the off-line selections of the design parameters. A set of example cases is presented for a spacecraft attitude control problem. These examples manifest that the proposed control strategy is tunable to a desired response despite the disturbances and uncertainties.

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