Robust LQ control for harmonic reference/disturbance signals
Author
Köroğlu, Hakan
Morgül, Ömer
Date
2000Source Title
Proceedings of the 39th IEEE Conference on Decision and Control, IEEE 2000
Print ISSN
0191-2216
Publisher
IEEE
Pages
3727 - 3732
Language
English
Type
Conference PaperItem Usage Stats
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Abstract
Linear Quadratic (LQ) controller design is considered for continuous-time systems with harmonic signals of known frequencies and it is shown that the design is reducible to an interpolation problem. All LQ optimal loops are parametrized by a particular solution of this interpolation problem and a (free) stable/proper transfer function. The appropriate choice of this free parameter for optimal stability robustness is formulated as a multiobjective design problem and reduced to a Nevanlinna-Pick interpolation problem with some interpolation points on the boundary of the stability domain. Using a related result from the literature, it is finally shown that, if there is sufficient penalization on the power of the control input, the level of optimum stability robustness achievable with LQ optimal controllers is the same as the level of optimum stability robustness achievable by arbitrary stabilizing controllers.
Keywords
Control designH∞ control
Harmonic signals
LQ control
Control system synthesis
Optimal control systems
Robustness (control systems)
System stability
Transfer functions
Linear quadratic control
Linear time invariant systems
Linear control systems
Permalink
http://hdl.handle.net/11693/27631Published Version (Please cite this version)
https://www.doi.org/10.1109/CDC.2000.912289Collections
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