scholarly journals Parameter convergence with an adaptive output regulation problem

2008 ◽  
Author(s):  
Lu Liu ◽  
Zhiyong Chen ◽  
Jie Huang
Keyword(s):  
Output Regulation ◽  
Output Regulation Problem

Output regulation for switched discrete-time systems with output signal quantization

2021 ◽  
pp. 014233122198988
Author(s):  
Yaoli Zhang ◽  
Jun Zhao
Keyword(s):  
Discrete Time ◽  
Pulse Width ◽  
Pulse Width Modulation ◽  
Output Regulation ◽  
Feedback Controllers ◽  
Signal Quantization ◽  
Discrete Time Systems ◽  
Output Regulation Problem ◽  
Time Systems ◽  
Coordinates Transformation

This paper investigates the output regulation problem for switched discrete-time systems with output quantization. We adopt the quantized output in feedback controllers and allow each subsystem to have its own quantization density, so that the communication network can be efficiently utilized. By using the different coordinates transformation, the solvability of the output regulation problem is guaranteed under deigned output feedback controllers with the switching signals satisfying a dwell time constraint. In the simulation, a pulse-width modulation driven boost converter model is employed to validate the result.

Output regulation of output feedback systems with unknown exosystem and unknown high-frequency gain sign

2016 ◽  
Vol 40 (1) ◽  
pp. 171-178 ◽  
Author(s):  
Meichen Guo ◽  
Lu Liu
Keyword(s):  
Output Feedback ◽  
High Frequency ◽  
Adaptive Controller ◽  
Output Regulation ◽  
Design Approach ◽  
Feedback Systems ◽  
Unknown Parameters ◽  
Robust Output Regulation ◽  
Matching Design ◽  
Output Regulation Problem

This paper discusses the global robust output regulation problem for a class of nonlinear output feedback systems. It is assumed that the exosystem and the high-frequency gain sign are unknown and that the unknown parameters can be arbitrarily large. To solve this problem, two major challenges are to be overcome. First, the concurrence of the unknown exosystem and the unknown high-frequency gain sign cannot be handled merely by designing estimators for the two unknown parameters respectively. Second, the conventional extended matching design approach cannot be directly implemented, owing to the arbitrarily large unknown parameters. To cope with these difficulties, a new estimator is developed, and the extended matching design approach is modified to obtain a suitable update law for the estimator. The effectiveness of the proposed adaptive controller is illustrated by an example.

Tracking and Disturbance Rejection for Uncertain Periodic Load Disturbed Power System by Adaptive Output Feedback Control

2016 ◽  
Author(s):  
Guopeng Zhou ◽  
Fang Zhou ◽  
Naiding Zhou ◽  
Feng Liang
Keyword(s):  
Energy Storage ◽  
Power System ◽  
Disturbance Rejection ◽  
Composite System ◽  
Output Regulation ◽  
Stabilization Problem ◽  
Periodic Load ◽  
Output Tracking ◽  
Augmented System ◽  
Output Regulation Problem

This paper studies energy storage based output tracking and disturbance rejection problems for a simple interconnected power system suffered from a periodic load disturbance with unknown amplitude and frequency. By constructing a new exosystem, the problem is converted into output regulation problem of a composite system. Internal model theorem is introduced for the composite system, and output regulation problem is changed into stabilization problem of a new augmented system by imposing an appropriate transformation. An adaptive dynamical energy storage based controller can solve stabilization problem of the augmented system as well as output tracking and disturbance rejection problem for the original system. Finally, simulation results show the effectiveness of the proposed controller.

scholarly journals Backstepping-based output regulation of ordinary differential equations cascaded by wave equation with in-domain anti-damping

2018 ◽  
Vol 41 (1) ◽  
pp. 246-262 ◽  
Author(s):  
Jianjun Gu ◽  
Chunqiu Wei ◽  
Junmin Wang
Keyword(s):  
Wave Equation ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
State Feedback ◽  
Solvability Condition ◽  
Reference Signal ◽  
Output Regulation ◽  
The Body ◽  
Output Regulation Problem ◽  
Feedback Regulator

Output regulation is considered in this paper for ordinary differential equations cascaded by a wave equation, in which both the body equations and the uncontrolled end are subject to disturbances. The disturbances are generated by an exosystem. A backstepping state-feedback regulator is first designed to force the output to track the reference signal. The design is based on solving cascaded regulator equations, and the solvability condition of the equations is characterized in terms of a transfer function and the eigenvalues of the exosystem. An observer-based output-feedback regulator is then designed to solve the output regulation problem. Finally, the regulator tracking performance is illustrated through numerical simulations.

scholarly journals Preview Tracking Control for Discrete-Time Multirate Systems: An Internal Model-Based Approach

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1443
Author(s):  
Yuedou Pan ◽  
Mengtong Pei ◽  
Li Li ◽  
Yanrong Lu
Keyword(s):  
Discrete Time ◽  
Internal Model ◽  
Sufficient Conditions ◽  
Output Regulation ◽  
The State ◽  
Tracking Problem ◽  
Rate System ◽  
Multirate Systems ◽  
External Signals ◽  
Output Regulation Problem

This paper investigates the preview tracking problem for discrete-time multirate systems under the scenario of the external signals with amplitude non-attenuation. Since the input and the state cannot be measured at the same time, the multirate system is first lifted into the single-rate system. Noting that the external signals are previewable and their amplitudes are unattenuated, an auxiliary system with preview information and a dynamic compensator with internal model are introduced, respectively. On this basis, the preview tracking problem can be converted to the output regulation problem of an augmented system with the aid of the state augmentation technique. Through verifying the solvability of the output regulation problem, the sufficient conditions and the corresponding controller with preview action and feedforward compensation are presented for the output regulation problem as well as the original problem. Finally, a numeric simulation result is provided to verify the validity of the proposed method.

Structurally Stable Output Regulation Problem With Sampled-Output Measurements Using Fuzzy Immersions

2010 ◽  
Vol 18 (6) ◽  
pp. 1170-1177 ◽  
Author(s):  
J. P. Garcia-Sandoval ◽  
B. Castillo-Toledo ◽  
S. Di Gennaro ◽  
V. Gonzalez-Alvarez
Keyword(s):  
Output Regulation ◽  
Output Regulation Problem ◽  
Structurally Stable
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