Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 47, Issue 8, Pages 1249-1266Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2002.800773
Keywords
adding a power integrator; global adaptive stabilization; nonlinear parameterization; nonlinear systems with uncontrollable; linearization; smooth feedback
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This paper studies global adaptive control of non-linearly parameterized systems with uncontrollable linearization. Using a new parameter separation technique and the tool of adding a power integrator, we develop a feedback domination design approach for the explicit construction of a smooth adaptive controller that solves the problem of global state regulation. In contrast to the existing results in the literature, a key feature of our adaptive regulator is its minimum-order property, namely, no matter how big the number of unknown parameters is, the order of the dynamic compensator is identical to one, and is therefore minimal. As a consequence, global state regulation of feedback linearizable systems with nonlinear parameterization is achieved by one-dimensional adaptive controllers, without imposing any extra (e.g., convex/concave) conditions on the unknown parameters.
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