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Analysis and Control of Nonlinear Systems

Journal of Dynamic Systems, Measurement, and Control, 1993
This paper describes my work on nonlinear analysis and control over the last twenty years. The first part of the paper concerns the development of nonlinear analysis tools for predicting stability and forced response characteristics of high speed ground vehicles.
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Nonlinear controllers for nonlinear systems with input nonlinearities

Proceedings of the 36th IEEE Conference on Decision and Control, 1999
The authors consider control systems of the type \[ \dot x= f(x,\sigma(u)),\quad x(0)= x_0,\quad t\geq 0, \] where \(\sigma\) denotes an input nonlinearity -- in many cases saturation -- and present a methodology for designing globally stabilizing nonlinear controllers.
Haddad, Wassim M.   +2 more
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Synthesis of Control for Nonlinear Systems

Automatic Control and Computer Sciences, 2019
The optimization problem for nonlinear autonomous systems is considered. The proposed control synthesis method is based on the interval model of a nonlinear plant. The control synthesized ensures the stability and optimality of the closed-loop system under large deviations from the steady state.
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Global Controllability of Nonlinear Systems

SIAM Journal on Control and Optimization, 1976
This paper examines the relationship between the structure of the reachable set for nonlinear systems and the properties of the Lie algebras of vector fields associated with nonlinear systems. An expression for the reachable set at time t is obtained for a large class of nonlinear systems using unbounded controls.
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Controlling a Class of Nonlinear Systems on Rectangles

IEEE Transactions on Automatic Control, 2006
In this paper, we focus on a particular class of nonlinear affine control systems of the form xdot=f(x)+Bu, where the drift f is a multi-affine vector field (i.e., affine in each state component), the control distribution B is constant, and the control u is constrained to a convex set.
Calin Belta, Luc C. G. J. M. Habets
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Strong Controllability of Nonlinear Systems

SIAM Journal on Control and Optimization, 1986
Affine control systems defined by analytic vector fields are considered. The author individuates a subset of the Lie algebra associated to the system: the set of semicontrolled vector fields, which characterizes the strong controllability of the system. A method is given to determine some semicontrolled vector fields.
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Reliable Control of Uncertain Nonlinear Systems

Automatica, 1998
The primary contingency reliable control problem [see, e.g., \textit{R. J. Veillette, J. V. Medanic} and \textit{W. R. Perkins}, IEEE Trans. Autom. Control 37, 290-304 (1992; Zbl 0745.93025)] together with a numerical example is studied for affine uncertain nonlinear systems.
Yuqiong Liu   +2 more
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Self-tuning controllers for nonlinear systems

Automatica, 1985
Two new self-tuning control (STC) strategies for nonlinear control problems are proposed. These strategies are applicable to a broad class of nonlinear single-input, single-output systems which can include arbitrary nonlinear functions of the output and the old inputs as well as the products of these functions and any power of the most recent input ...
Mukul Agarwal, Dale E. Seborg
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ON THE CONTROL OF SINGULARLY PERTURBED NONLINEAR SYSTEMS

IFAC Proceedings Volumes, 1992
Abstract Using the integral manifold concept, a recent systematic method to control e-perturbed nonlinear systems is here extended to a rather wide class of singularly perturbed MIMO systems. This class includes singularly perturbed systems exibiting an affine structure in the control after order reduction.
Barbot J. P.   +3 more
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Controllability of nonlinear control systems

1986 25th IEEE Conference on Decision and Control, 1986
Controllability properties of analytic affine control systems ? with an arbitrary number of controls and no a priori bounds are studied, without any restriction on the dimension of the Lie algebra T' generated by the input vector fields. Sufficient conditions for local controllability at a point are presented, involving the Lie brackets at that point ...
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