Simultaneous stabilization with near optimal LQR performance

We consider the use of linear time-varying controllers for simultaneous stabilization and performance. We prove that for every finite set of plants, we can design a linear time-varying controller which provides not only closed loop stability, but also near optimal LQR type performance. By adding a m...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2001-10, Vol.46 (10), p.1543-1555
Main Authors: Miller, D.E., Rossi, M.
Format: Article
Language:English
Subjects:
Actuators
Automatic control
Control system synthesis
Control systems
Controllers
Councils
Delay
Mathematical analysis
Nonlinearity
Optimal control
Optimization
Sensor systems
Stability
Stabilization
Sufficient conditions
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Summary:We consider the use of linear time-varying controllers for simultaneous stabilization and performance. We prove that for every finite set of plants, we can design a linear time-varying controller which provides not only closed loop stability, but also near optimal LQR type performance. By adding a mild nonlinearity in the form of a nonlinear delay, we end up with an improved controller which provides near optimal performance for each possible model as well as for the case when the plant changes occasionally.
ISSN:0018-9286
1558-2523
DOI:10.1109/9.956050