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.

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 for switched LPV systems with Markovian jump parameters and its application

2017 ◽  
Vol 40 (9) ◽  
pp. 2831-2842 ◽  
Author(s):  
Dong Yang ◽  
Jun Zhao ◽  
Guangdeng Zong
Keyword(s):  
Transition Probabilities ◽  
Sufficient Conditions ◽  
Output Regulation ◽  
Feedback Controller ◽  
Markovian Jump ◽  
Markovian Jump Parameters ◽  
Engine Model ◽  
Lpv Systems ◽  
Aero Engine ◽  
Output Regulation Problem

This paper deals with the output regulation problem for switched linear parameter-varying (LPV) systems with Markovian jump parameters under partially unknown transition probabilities. Our aim is to find a feedback controller, such that the regulated output asymptotically converges to zero and the closed-loop system is stochastically stable when [Formula: see text]. Firstly, we give sufficient conditions for the solvability of the output regulation problem. Then, using the parameter-dependent stochastic Lyapunov functions method, we design a state feedback controller and a regulation observer-based controller for individual switched LPV subsystems to solve the output regulation problem for the given systems. Finally, the output regulation problem of an aero-engine model is investigated, and the effectiveness of the proposed control design scheme is illustrated by its application to a speed regulation problem of an aero-engine.

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