Publication
Analysis and design of quadratically bounded QPV control systems
Conference Article
Conference
IFAC Workshop on Linear Parameter-Varying Systems (LPVS)
Edition
3rd
Pages
76-81
Doc link
https://doi.org/10.1016/j.ifacol.2019.12.351
File
Abstract
A nonlinear system is said to be quadratically bounded (QB) if all its solutions are bounded and this is guaranteed using a quadratic Lyapunov function. This paper considers the QB analysis and state-feedback controller design problems for quadratic parameter varying (QPV) systems. The developed approach, which relies on a linear matrix inequality (LMIs) feasibility problem, ensures that the QB property holds for an invariant ellipsoid which contains a predefined polytopic region of the state space. An example is used to illustrate the main characteristics of the proposed approach and to confirm the validity of the theoretical results.
Categories
control nonlinearities, control system analysis, control system synthesis, control theory.
Author keywords
Quadratic boundedness, quadratic systems, gain-scheduling, linear matrix inequalities
Scientific reference
D. Rotondo and M. Witczakc. Analysis and design of quadratically bounded QPV control systems, 3rd IFAC Workshop on Linear Parameter-Varying Systems, 2019, Eindhoven, The Netherlands, Vol 52:28 of IFAC Papers Online, pp. 76-81.
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