Output Feedback of Nonlinear Systems

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Author Index
A B C D E F G H I
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Robust Output Feedback Control Of Incompletely Observable Nonlinear Systems Without Input Dynamic Extension

Authors:

Manfredi Maggiore, Kevin Passino,

Volume: 1, Page 2902 Paper number 1741

Abstract:

We introduce a new output feedback controller for general MIMO nonlinear systems which are only observable on regions of the state and input spaces. Unlike previous approaches, we do not add integrators at the input side of the system, and thus avoid the need to design a stabilizing control law for a higher order system. Robustness with respect to a class of time-varying disturbances is guaranteed, and the performance of any state feedback controller designed to achieve closed-loop stability with respect to a set (e.g., a robust controller) is recovered.

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Global Finite-Time Stabilization: From State Feedback to Output Feedback

Authors:

Yiguang Hong, Guowu Yang, Linda G. Bushnell, Hua O. Wang,

Volume: 1, Page 2908 Paper number 1670

Abstract:

This paper addresses the problem of global finite-time design via dynamic output feedback. The results are obtained in the form of the so-called "separation principle", i.e., the design methods for the finite-time output feedback laws are based on finite-time state feedback laws and finite-time observers, which can be designed separately. Conditions are given to assure that the constructed output feedback laws render the closed-loop systems globally finite-time convergent or even finite-time stable.

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Global Adaptive Output Feedback Controllers with Application to Nonlinear Friction Compensation

Authors:

Giovanni Luca Santosuosso, Patrizio Tomei,

Volume: 1, Page 2914 Paper number 1609

Abstract:

In this paper we consider a class of nonlinear systems in which a set of constant parameters is unknown and some state variables are not available for measurement. For such systems we provide a constructive procedure for the solution of the global adaptive tracking problem with dynamic partial state feedback. We illustrate an application of the control strategy to the adaptive nonlinear friction compensation of a DC motor servomechanism. We improve previous results in two directions: we allow for a subset of the unmeasurable states to enter in the system nonlinearly; we consider systems which are linearly parametrized with respect to a set of unknown constant parameters.

CD001609.PDF (From Author)

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Static Output Feedback Stabilization Of Linear And Nonlinear Systems

Authors:

Alessandro Astolfi, Patrizio Colaneri,

Volume: 1, Page 2920 Paper number 1140

Abstract:

The static output feedback stabilization problem for linear and nonlinear (affine) systems is discussed. A novel necessary and sufficient condition for linear systems is proposed. For nonlinear systems a sufficient condition is established and a (partial) converse is also discussed. The nonlinear formulation is used to derive a simple characterization of stabilizing static output feedback control laws for linear systems in terms of the intersection of two convex sets and a (generally) non-convex set. This characterization is used to establish a series of simple obstructions to the solvability of the problem for linear SISO systems. A fully worked out example complete the paper.

CD001140.PDF (From Author)

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Robust Output Feedback Stabilization Of Nonlinear Systems

Authors:

Teddy M. Cheng, Ray P. Eaton, David J. Clements,

Volume: 1, Page 2926 Paper number 1138

Abstract:

This paper describes a direct way to solve the robust output feedback stabilization problem for a class of uncertain nonlinear systems with nonlinear parameterization using the backstepping technique. The backstepping method is performed in a batch way rather than recursively. The paper begins with the stabilization of a system containing a series of integrators with unknown gains. The solution of the problem is then used to solve the output feedback stabilization problem of the nonlinear system.

CD001138.PDF (From Author)

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Time-Varying Output Feedback Stabilization of a Class of Nonholonomic Hamiltonian Systems via Canonical Transformations

Authors:

Kenji Fujimoto, Jacquelien M.A. Scherpen,

Volume: 1, Page 2928 Paper number 1453

Abstract:

This paper is concerned with the output feedback stabilization of a class of nonholonomic systems in port-controlled Hamiltonian formulae via generalized canonical transformations. In order to obtain a dynamic feedback, an integrator is added to the system firstly. Then the generalized canonical transformation is utilized to let the integrator play the role of an estimator of the unmeasurable state based on passivity. This technique can derive a time-varying output feedback stabilizing controller under a certain assumption. Furthermore the effectiveness of the proposed technique is demonstrated via a well known knife edge example.

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On The Output Feedback Control Of Passive Nonlinear Systems With Input Perturbations

Authors:

Ilya G. Polushin,

Volume: 1, Page 2934 Paper number 9087

Abstract:

Two problems concerned with output feedback control of passive nonlinear systems under input affine perturbations are considered. The first one is the problem of input-to-state stabilization of passive system with respect to "perturbation" input with semiglobal ISS gain assignment. The second problem is ultimate boundedness control of nominally passive nonlinear systems with structured uncertainties satisfying a matching condition. The key assumption is output-to-state stability of the system. It is shown that under this assumption both problems are solvable by almost smooth static output feedback.

CD009087.PDF (From Author)

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