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THE GAP BETWEEN NONLINEAR CONTROL THEORIES AND APPLICATIONS IN POWER SYSTEMS

IFAC Proceedings Volumes, 2007
Abstract The employment of nonlinear control theories in power system have brought along fruitful results to enhance transient stability. However, from the viewpoint of engineering, it is still a long distance between theoretical analysis and practical implementation.
Yuanzhang Sun, Fang Yang
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Theory of Controlling Instability in 1-D Nonlinear Systems with Adaptive Method

Chinese Physics Letters, 1994
Theory of controlling instability based on the Lyapunov stability and the criterion of convergence for selecting the control stiffness and the magnitude of deviation in one dimensional nonlinear systems with adaptive method have been given. This method can be applied not only to chaotic attractor but also to the situation of bifurcations, and it is ...
Wansun Ni, Tuanfa Qin
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Theory of chaos and control in a nonlinear optical system

Physics Letters A, 1994
A parametric amplifier driven by a periodically pulsed pump field inside a cavity containing a Kerr nonlinearity may be modeled mathematically by a two-dimensional map. We investigate control of chaotic solutions of this model system using the OGY method.
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The application of grey system theory combined with fuzzy reasoning in high order nonlinear control system

2001 International Conferences on Info-Tech and Info-Net. Proceedings (Cat. No.01EX479), 2002
A system with partial unknown structure, parameters, and characteristics is called a grey system. Grey system theory can be employed to improve the control performance of a system without sufficient information or with highly nonlinear property. In the paper, grey system theory is introduced into sliding mode control of a high order nonlinear system ...
null Zhang Shuhong   +2 more
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Dynamic input-output linearization for nonlinear systems; theory and applications in process control

1997 European Control Conference (ECC), 1997
In this paper the use of the dynamic extension algorithm and the structure algorithm leads to sufficient conditions for the resulting dynamic state feedback to achieve I/O linearization for the given nonlinear system. The result covers cases further than the I/O decoupable systems.
Sanchez, F.H., Nijmeijer, Henk
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Operator functions in theory of nonlinear continuous, discrete and retarded control systems

2003 European Control Conference (ECC), 2003
In this paper we suggest a brief survey of some results on stability of continuous, discrete and retarded control systems which arc based on recent estimates for the norms of operator-valued functions.
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Optimal Strategies for Long-Term Sustainability in PAYGO Pension Systems using Control Theory in a Dynamic Nonlinear Framework

Vulnerability, Uncertainty, and Risk, 2014
The aim of this paper is to design an automatic balancing mechanism, based on minimizing changes in the main variables that play a part in a Pay-As-YouGo (PAYGO) pension system (contribution rate, normal retirement age and indexation of pensions) using nonlinear programming.
Humberto Godínez-Olivares   +2 more
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Pseudo-generalized Hamiltonian theory and its application in nonlinear stabilizing control of multi-machine system with losses

2011 International Conference on Electric Information and Control Engineering, 2011
This paper presents the pseudo-generalized Hamiltonian theory which has a more general form and a wider range of application. A new Lyapunov candidate function is proposed and proven to qualify as a true Lyapunov function under some assumptions. Then, we take multi-machine power system considering transfer conductance as an example to illustrate the ...
null Fang Shi, Jie Wang
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Nonlinear Systems in Optimal Control Theory and Related Topics

1983
This paper describes the formal dynamic programming derivation of certain nonlinear PDE relevant in control theory and explains some recent work regarding the solution of these problems. These PDE are either first order (deterministic control) or second order, elliptic (stochastic control), and are either a system (if it costs to switch the control) or
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Decentralized Nonlinear Robust Coordinated Control of UPFC and Generators in Multi‐ Machine Power System Via Pseudo‐Generalized Hamiltonian Theory

Asian Journal of Control, 2014
AbstractIn this paper, based on a structure preserving power system with a unified power flow controller (UPFC), using pseudo‐generalized Hamiltonian function method and boundary‐function method, a nonlinear robust coordinated control law is constructed for multi‐machine power system oscillation damping.
Lei, Bangjun, Fei, Shumin, Zhai, Junyong
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