The discrete-time adaptive LQG control of first-order systems is considered from robustness point of view. Both stability and performance robustness are analyzed for different control system structures. A case of amplitude-constrained control is presented, and application of certainty equivalence for self-tuning implementation is also discussed.
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This paper considers a problem of designing an adaptive controller for a first order nonlinear system x'=-DTf(x)-bu, subject to bounded input and output disturbances. Unmodelled dynamics are also considered in the stability analysis and a dead zone in the parameters update law is used. The dead zone size does not depend neither on the disturbances nor on the magnitude of the unmodelled dynamics. In addition, the disturbances and parameter upperbounds are not assumed to be a priori known.
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