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The Control of Nonlinear Econometric Systems with Unknown Parameters

Econometrica, 1976
An approximate solution, based on the method of dynamic programming, is provided for the optimal control of a system of nonlinear structural equations in econometrics with unknown parameters using a quadratic loss function. It generalizes the methods previously proposed by the author for the control of a nonlinear econometric model with constant ...
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Adaptive output-feedback nonlinear control with parameter convergence

Proceedings of 1995 American Control Conference - ACC'95, 2005
Analyses the parameter convergence properties of an adaptive control scheme for output-feedback nonlinear systems. The authors show that parameter convergence is guaranteed if an appropriately defined matrix, which is directly related to the regressor matrix but does not depend on closed-loop signals, is persistently exciting.
null Jung-Shan Lin, I. Kanellakopoulos
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Adaptive control of nonlinear systems with unknown parameters

1996 IEEE International Conference on Systems, Man and Cybernetics. Information Intelligence and Systems (Cat. No.96CH35929), 2002
An approach to the solution of the adaptive control for nonlinear systems with unknown (certain or uncertain) parameters is presented by using the theory of nonlinear H/sub /spl infin// disturbance attenuation control. It is shown that the adaptive control law is related to the existence of the solution of a new form of Hamilton-Jacobi-Isaacs ...
null Bin Qin   +2 more
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Nonlinear H∞ Attitude Control Using Modified Rodrigues Parameters

Journal of Guidance, Control, and Dynamics, 2014
a = angular velocity gain a = axis of rotation b = modified Rodrigues parameter gain C = rotation matrix c = coefficient in storage (Lyapunov) function d = disturbance torque f x = state function G σ = modified Rodrigues parameter kinematics matrix g x = control input function Hγ = left-hand side of Hamilton–Jacobi inequality h x = state weighting ...
Mark R. Binette   +2 more
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RELAXATION AND OPTIMAL CONTROL OF NONLINEAR DISTRIBUTED PARAMETER SYSTEMS

IFAC Proceedings Volumes, 1989
Abstract In this paper we examine optimal control problems governed by nonlinear evolution equations. First we establish the existence of optimal controls under a convexity hypothesis on an appropriate orientor field. Then we drop the convexity hypothesis. Now in order to guarantee the existence of optimal solutions we need to pass to a larger system
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Nonlinear compensator synthesis via linear parameter-varying control

Proceedings of the 2004 American Control Conference, 2004
For the nonlinear output regulation or servomechanism problem, a nonlinear compensator synthesis framework is presented that merges techniques for linear parameter-varying (LPV) systems with ideas derived from linearization-based gain scheduling. Plant linearizations about zero-error trajectories have an LPV structure upon which the synthesis of an LPV
D.A. Lawrence, M. Sznaier
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On-Line Parameter Control of Nonlinear Flexible Structures

1987
The use of passive auxiliary mass dampers [1], in which a relatively small auxiliary mass is attached to the primary system by a resilient element, to attenuate the response of oscillating systems has long been a standard method for vibration control.
Dehghanyar, T. J.   +3 more
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Nonlinear State Estimation and Feedback Control of Nonlinear and Bilinear Distributed Parameter Systems

Journal of Dynamic Systems, Measurement, and Control, 1981
This paper presents a theory of nonlinear state observers for nonlinear and bilinear distributed parameter systems. Convergence results are proved for these observers. Linear feedback control derived from such state observers is applied to the distributed parameter system and conditions are presented for closed-loop stability. The emphasis is on finite
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Study of the Parameters of the Nonlinear Controller

2019 International Siberian Conference on Control and Communications (SIBCON), 2019
This paper presents the study of the influence of particular terms of developed control functions for the temperature control and heating dynamics of the containers with the active substance of metal vapors. The efficiency of using different terms for different stages and imposing additional conditions, taking into account the peculiarities of ...
Evgeny G. Bukreev   +4 more
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Nonlinear Model-Predictive Control of Distributed-Parameter Systems

Chemical Engineering Science, 1992
Abstract This paper describes the application of nonlinear model-predictive control (NMPC) to two distributed-parameter processes. The first system is a packed distillation column. The process gain varies in sign with the reboiler heat duty due to mass transfer effects.
Ashutosh A. Patwardhan   +2 more
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