NDLI: New results on robust stability analysis and synthesis for MIMO uncertain systems

Content Provider	IET Digital Library
Author	Celentano, Laura Basin, Michael
Abstract	This paper provides theoretical preliminary results and develops a first methodology, that allows one to efficiently estimate the maximum time constant of a dynamic matrix of an uncertain system with rational multi-affine structure with respect to parameters, and a second one to find a majorant system of a multi-input multi-output (MIMO) system with rational multi-affine structure with respect to parameters. The developed methodologies are used to estimate the evolution of an uncertain linear time-invariant (LTI) system with additional bounded nonlinearities and/or additional bounded input signals. Moreover, the above results are also used to design a robust controller for an uncertain MIMO system with unmeasurable states and subject to a rate-bounded disturbance in order to track a rate-bounded reference signal. The obtained theoretical results are illustrated by three examples. The first two examples deal with the analysis of a LTI system with bounded disturbances and measurement noise, and additional bounded and not bounded nonlinearities, respectively; in the second example a new control law with saturation is also designed. In the last example, a robust controller for an uncertain electro-mechanical system with unmeasurable state is designed to track a rate-bounded reference signal in the presence of a disturbance with bounded derivative.
Starting Page	1421
Ending Page	1430
Page Count	10
ISSN	17518644
Volume Number	12
e-ISSN	17518652
Issue Number	Issue 10, Jul (2018)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/12/10
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.0101
Journal	IET Control Theory & Applications
Publisher Date	2018-03-15
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Adaptive Control Additional Bounded Input Signal Additional Bounded Nonlinearities Control Signal Control System Control System Analysis Control System Synthesis Developed Methodologies Dynamic Matrix Linear System Majorant System Maximum Time MIMO System MIMO Uncertain System Multiinput Multioutput System Multivariable Control System Nonlinear Control System Nonlinearity Rate-bounded Disturbance Rational Multiaffine Structure Reference Signal Robust Control Robust Controller Robust Stability Analysis Stability in Control Theory Synthesis Synthesis Method Theoretical Preliminary Result Theoretical Result Uncertain Electro-mechanical System Uncertain LTI System Uncertain MIMO System Uncertain System Unmeasurable State
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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