Robust state-derivative pole placement LMI-based designs for linear systems

In some practical problems, for instance in the control systems for the suppression of vibration in mechanical systems, the state-derivative signals are easier to obtain than the state signals. Necessary and sufficient LMI-based conditions for pole placement of linear systems using state-derivative...

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Bibliographic Details
Published inInternational journal of control Vol. 82; no. 1; pp. 1 - 12
Main Authors Faria, F.A., Assunção, E., Teixeira, M.C.M., Cardim, R., da Silva, N.A.P.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.01.2009
Taylor & Francis
Subjects
Applied sciences
Computer science; control theory; systems
Control system analysis
Control system synthesis
Control theory. Systems
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
linear matrix inequalities (LMI)
Modelling and identification
Physics
pole placement
Solid mechanics
state-derivative feedback
Structural and continuum mechanics
structural failures
uncertain systems
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
State feedback
Uncertain system
Systems engineering
Mechanical system
Linear matrix inequality
Vibration control
Pole assignment
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Summary:In some practical problems, for instance in the control systems for the suppression of vibration in mechanical systems, the state-derivative signals are easier to obtain than the state signals. Necessary and sufficient LMI-based conditions for pole placement of linear systems using state-derivative feedback are proposed. Sufficient conditions for pole placement for a class of uncertain systems or systems subject to structural failures are also presented. The simulation of practical applications illustrates the efficiency of the proposed methods.
ISSN:0020-7179
1366-5820
DOI:10.1080/00207170801942188