Sliding Mode Optimization in Dynamic LTI Systems

A. Ferrara and V.I. Utkin
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A. Ferrara: Università di Pavia
V.I. Utkin: Ohio State University

Journal of Optimization Theory and Applications, 2002, vol. 115, issue 3, No 14, 727-740

Abstract: Abstract This paper deals with the problem of constrained optimization in dynamic linear time-invariant (LTI) systems characterized by a control vector dimension less than that of the system state vector. The problem consists in designing a control signal capable of generating a system state evolution confined to the feasible region delimited by a number of inequality constraints less than or equal to the number of control vector components, as well as of steering the state trajectory to an equilibrium point where a prespecified cost function depending on the system state is being minimized. The finite-time convergence to a vicinity of order ε of the optimal equilibrium point is proved.

Keywords: Sliding modes; dynamic systems; linear time-invariant systems; convex optimization (search for similar items in EconPapers)
Date: 2002
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Citations: View citations in EconPapers (2)

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DOI: 10.1023/A:1021267517097

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