Journal Article10.1016/S0005-1098(97)00195-7
Trajectory-approximation-based adaptive control for nonlinear systems under matching conditions
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TL;DR: An adaptive algorithm is presented which renders the origin practically stable to any desired accuracy and is simple and computationally cheap.
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About: This article is published in Automatica. The article was published on 01 Mar 1998. The article focuses on the topics: Adaptive algorithm & Nonlinear control.
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Citations
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Formulas relating KL stability estimates of discrete-time and sampled-data nonlinear systems
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How much uncertainty can be dealt with by feedback
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A direct method for robust adaptive nonlinear control with guaranteed transient performance
TL;DR: In this paper, a Lyapunov-based adaptive control structure is developed, which avoids the possible control singularity problem in adaptive nonlinear control, and the transient bounds of output tracking error are shown to be explicit functions of initial conditions and design parameters.
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Systematic design of adaptive controllers for feedback linearizable systems
TL;DR: A systematic procedure for the design of adaptive regulation and tracking schemes for a class of feedback linearizable nonlinear systems is developed, which substantially enlarges the class of non linear systems with unknown parameters for which global stabilization can be achieved.
Systematic Design of Adaptive Controllers for Feedback Linearizable Systems
Ioannis Kanellakopoulos,Petar V. Kokotovic,A.S. Morse +2 more
- 26 Jun 1991
TL;DR: In this paper, a systematic procedure is developed for the design of adaptive regulation and tracking schemes for a class of feedback linearizable nonlinear systems, which are transformable into the so-called pure-feedback form.
A universal construction of Artstein's theorem on nonlinear stabilization
TL;DR: In this article, the existence of a smooth control-Lyapunov function implies smooth stabilizability, and the result is extended to real-analytic and rational cases as well.
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