Discrete-Time Nonlinear Control Systems

Nijmeijer, Henk; Schaft, Arjan van der

doi:10.1007/978-1-4757-2101-0_14

Cited by 5 publications

(1 citation statement)

References 21 publications

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“…Φ( , ) is an analytic vector function on × and ℎ( ) is an analytic scalar function on . This system in discrete-time constitutes relative order two systems since it satisfies the criteria of ( +1)/ ( ) ≡ 0 and ( + 2)/ ( ) ̸ ≡ 0 [24].…”

Section: System Representation: Relative Order Two Systemsmentioning

confidence: 99%

Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems

Hussain

Ali

Khan

2014

Abstract and Applied Analysis

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This paper discusses the discrete-time stability analysis of a neural network inverse model control strategy for a relative order two nonlinear system. The analysis is done by representing the closed loop system in state space format and then analyzing the time derivative of the state trajectory using Lyapunov’s direct method. The analysis shows that the tracking output error of the states is confined to a ball in the neighborhood of the equilibrium point where the size of the ball is partly dependent on the accuracy of the neural network model acting as the controller. Simulation studies on the two-tank-in-series system were done to complement the stability analysis and to demonstrate some salient results of the study.

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Section: System Representation: Relative Order Two Systemsmentioning

confidence: 99%

Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems

Hussain

Ali

Khan

2014

Abstract and Applied Analysis

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Discrete‐time nonlinear controller synthesis by input/output linearization

Soroush

Kravaris

1992

AIChE Journal

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This work concerns the synthesis of discrete-time nonlinear controllers for nonlinear processes that make the closed-loop system linear in an input/output sense.The synthesis of state feedback controllers is studied first, followed b.y the synthesis of dynamic output feedback controllers. Both problems are solved within the globally linearizing control ( GLC) framework. Precise theoretical connections between the derived controllers and model algorithmic control ( M A C ) are established. The theory is illustrated by a chemical reactor example.

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Synthesis of discrete‐time nonlinear feedforward/feedback controllers

Soroush¹,

Kravaris²

1994

AIChE Journal

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Discrete-Time Nonlinear Control Systems

Cited by 5 publications

References 21 publications

Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems

Neural Network Inverse Model Control Strategy: Discrete-Time Stability Analysis for Relative Order Two Systems

Discrete‐time nonlinear controller synthesis by input/output linearization

Synthesis of discrete‐time nonlinear feedforward/feedback controllers

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