Chattering-Free Error Integral Driven MIMO Sliding Mode Regulator for Linear Time-Invariant Systems

Author:

Yunt Kerim1

Affiliation:

1. General Control Design, am Holbrig 4, Zurich 8049, Switzerland e-mail:

Abstract

In this work, an error-integral-driven sliding mode controller (EID-SMC) is discussed for multi-input multi-output (MIMO) linear time-invariant (LTI) systems. The boundary layer approach is utilized in order to eliminate the chattering problem. Though the sliding variable remains in the vicinity of the sliding surface without reaching it, it is shown that the steady-state error vanishes exponentially asymptotically within a boundary layer, for systems of relative order one, even if parameter uncertainty and unmatched input disturbances exist. The pole placement is accomplished indirectly with an iterative optimization procedure by considering limits on controls and state. Finally, the output-feedback controller is augmented with a Luenberger full-state and disturbance observer.

Publisher

ASME International

Subject

Computer Science Applications,Mechanical Engineering,Instrumentation,Information Systems,Control and Systems Engineering

Reference26 articles.

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3. Zhihong, M., and Yu, X. H., 1996, “Terminal Sliding Mode Control of MIMO Linear Systems,” 35th IEEEConference on Decision and Control, Kobe, Japan, Dec. 11–13, Vol. 4, pp. 4619–4624.10.1109/CDC.1996.577601

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