A gain-scheduling control approach to stabilization of LTI systems with generalized saturation input
Qian Zheng
Fen Wu
Dept. of Mech. & Aerosp. Eng., North Carolina State Univ., Raleigh, NC;
This paper appears in: American Control Conference, 2006
Publication Date: 14-16 June 2006
On page(s): 6 pp.-
E-ISBN: 1-4244-0210-7
Location: Minneapolis, MN,
ISBN: 1-4244-0209-3
INSPEC Accession Number: 9036890
Digital Object Identifier: 10.1109/ACC.2006.1657433
Current Version Published: 2006-07-24
Abstract
In this paper, we will present a gain-scheduling control method for designing output feedback laws that stabilize a linear system subject to generalized saturation input, which is composed of N(N ges 1) bends piecewise linear concave/convex functions. By exploiting the connection between one bend piecewise linear function and standard saturation function and expressing saturation on convex hull of linear functions, the design of output feedback control law will be solved as an optimization problem with LMI constraints. This approach will then be extended to multiple bends piecewise linear functions, by treating the multiple bends piecewise linear function as the convex combination of several one bend piecewise linear functions. This work will broaden the scope of gain-scheduling control approach to larger class of practical engineering problems
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