Stable controllers for robust stabilization of systems with infinitely many unstable poles
Systems and Control Letters
511 - 516
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This paper studies the problem of robust stabilization by a stable controller for a linear time-invariant single-input single-output infinite dimensional system. We consider a class of plants having finitely many simple unstable zeros but possibly infinitely many unstable poles. First we show that the problem can be reduced to an interpolation-minimization by a unit element. Next, by the modified Nevanlinna-Pick interpolation, we obtain both lower and upper bounds on the multiplicative perturbation under which the plant can be stabilized by a stable controller. In addition, we find stable controllers to provide robust stability. We also present a numerical example to illustrate the results and apply the proposed method to a repetitive control system.
Infinite dimensional systems
Lower and upper bounds
Repetitive control system
Single input single output
Control system analysis
Robustness (control systems)
Published Version (Please cite this version)http://dx.doi.org/10.1016/j.sysconle.2013.02.005
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