Journal
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
Volume 459, Issue 2035, Pages 1783-1800Publisher
ROYAL SOC
DOI: 10.1098/rspa.2002.1062
Keywords
nonlinear systems; holonomic and non-holonomic systems; tracking control; exact control; analytical dynamics; online control
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Based on recent results from analytical dynamics, this paper develops a class of tracking controllers for controlling general, nonlinear, structural and mechanical systems. Unlike most control methods that perform some kind of linearization and/or nonlinear cancellation, the methodology developed herein views the nonlinear control problem from a different perspective. This leads to a simple and new control methodology that is capable of 'exactly' maintaining the nonlinear system along a certain trajectory, which, in general, may be described by a set of differential equations in the observations/measurements. The approach requires very little computation compared with standard approaches. It is therefore useful for online real-time control of nonlinear systems. The methodology is illustrated with two examples.
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