NDLI: Conservatism reduction in simultaneous output feedback stabilisation of linear systems

Content Provider	IET Digital Library
Author	Sedgh, Peyman Kohan Khayatian, Alireza Asemani, Mohammad H.
Abstract	This study concerns with simultaneous output feedback stabiliser for continuous-time linear systems. Two convex methods based on structured slack variable and dilated matrix inequalities are proposed. Both methods are based on non-common Lyapunov approach and designs are independent of controller order. Sufficiency of the first method decreases with increasing the number of system inputs. The second method, namely the dilated method, contains free scalar parameters. These parameters can be used to shape the controller for some performance objectives. In particular, it is proved that the dilated method can give less or at least the same conservative results than existing methods with equality constraints. It is also shown that the feasibility region of these two methods does not coincide and thus combining them can increase the chance of finding simultaneous stabiliser. Extensive numerical studies and benchmark examples are used to reveal the conservatism reduction merit.
Starting Page	2243
Ending Page	2250
Page Count	8
ISSN	17518644
Volume Number	10
e-ISSN	17518652
Issue Number	Issue 17, Nov (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/10/17
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2016.0618
Journal	IET Control Theory & Applications
Publisher Date	2016-07-19
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Conservatism Reduction Merit Continuous Time System Continuous-time Linear System Controller Order Convex Method Dilated Matrix Inequalities Dilated Method Free Scalar Parameter Linear System Lyapunov Method Noncommon Lyapunov Approach Simultaneous Output Feedback Stabilisation Stability Stability in Control Theory Structured Slack Variable
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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