Journal ArticleDOI
Robust nonlinear control of systems with input unmodeled dynamics
Murat Arcak,Petar V. Kokotovic +1 more
TLDR
In this paper, the authors consider systems with unmodeled dynamics appearing at the input, and present a redesign that preserves global asymptotic stability with respect to relative degree zero and minimum phase.About:
This article is published in Systems & Control Letters.The article was published on 2000-10-09. It has received 50 citations till now. The article focuses on the topics: Robust control & Nonlinear control.read more
Citations
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Journal ArticleDOI
Backstepping design for global robust stabilisation of switched nonlinear systems in lower triangular form
TL;DR: The design method proposed is extended to the uncertain switched nonlinear systems in nested lower triangular form to solve the global robust stabilisation problem under arbitrary switchings.
Journal ArticleDOI
Robust redesign of a neural network controller in the presence of unmodeled dynamics
TL;DR: This work presents a neural network control redesign, which achieves robust stabilization in the presence of unmodeled dynamics restricted to be input to output practically stable (IOpS), without requiring any prior knowledge on any bounding function.
Proceedings Article
Trigonometric RBF neural robust controller design for a class of nonlinear system with linear input unmodeled dynamics
TL;DR: In this article, adaptive neural robust controller was designed by using adaptive backstepping method for a class of multi-input to multi-output nonlinear systems which could be turned to "standard block control type".
Journal ArticleDOI
Robust stabilization and performance recovery of nonlinear systems with input unmodeled dynamics
Aranya Chakrabortty,Murat Arcak +1 more
TL;DR: A time-scale separation redesign for stabilization and performance recovery of nonlinear systems with unmodeled dynamics and designs two sets of high gain filters to force this estimate to converge to the nominal input on an intermediate time- scale.
Journal ArticleDOI
Robust global stabilization with ignored input dynamics: an input-to-state stability (ISS) small-gain approach
Zhong-Ping Jiang,Murat Arcak +1 more
TL;DR: A static feedback control law is designed using nonlinear small-gain arguments to achieve global asymptotic stabilization in the presence of ignored input dynamics, restricted to be minimum-phase and relative degree zero.
References
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Book
Optimization and nonsmooth analysis
TL;DR: The Calculus of Variations as discussed by the authors is a generalization of the calculus of variations, which is used in many aspects of analysis, such as generalized gradient descent and optimal control.
Journal ArticleDOI
Smooth stabilization implies coprime factorization
TL;DR: In this paper, it was shown that coprime right factorizations exist for the input-to-state mapping of a continuous-time nonlinear system provided that the smooth feedback stabilization problem is solvable for this system.
Book
Nonlinear Control Systems II
TL;DR: In this article, the authors present a continuation of the first volume by Alberto Isidori on nonlinear control systems, which includes stability analysis of interconnected nonlinear systems, the notion of input-to-state stability and its role in analysing stability of cascade-connected or feedback-connected systems.
Journal ArticleDOI
Further facts about input to state stabilization
TL;DR: In this article, the results about input to state stabilizability are shown to hold even for systems which are not linear in controls, provided that a more general type of feedback is allowed Applications to certain stabilization problems and coprime factorizations, as well as comparisons to other results on input to stability, are briefly discussed.
Journal ArticleDOI
A small-gain control method for nonlinear cascaded systems with dynamic uncertainties
Zhong-Ping Jiang,Iven Mareels +1 more
TL;DR: Some robust control problems for a class of nonlinear cascaded systems in the presence of state and input driven unmeasured dynamics are analyzed and a stepwise constructive control methodology is proposed on the basis of the nonlinear small-gain theorem.
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