Dynamic logarithmic state and control quantization for continuous-time linear systems

Robotica ◽  
2022 ◽  
pp. 1-16
Author(s):  
Jiashuo Wang ◽  
Shuo Pan ◽  
Zhiyu Xi
Keyword(s):  
Feedback Control ◽  
Linear System ◽  
Linear Systems ◽  
Continuous Time ◽  
Control Law ◽  
Quantized Feedback ◽  
Single Input ◽  
Simulation Results ◽  
And Control ◽  
Time Linear

Abstract This paper addresses logarithmic quantizers with dynamic sensitivity design for continuous-time linear systems with a quantized feedback control law. The dynamics of state quantization and control quantization sensitivities during “zoom-in”/“zoom-out” stages are proposed. Dwell times of the dynamic sensitivities are co-designed. It is shown that with the proposed algorithm, a single-input continuous-time linear system can be stabilized by quantized feedback control via adopting sensitivity varying algorithm under certain assumptions. Also, the advantage of logarithmic quantization is sustained while achieving stability. Simulation results are provided to verify the theoretical analysis.

scholarly journals Control of Ensembles of Single-Input Continuous-Time Linear Systems

2013 ◽  
Vol 46 (27) ◽  
pp. 122-129 ◽  
Author(s):  
Michael Schönlein ◽  
Uwe Helmke
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Single Input ◽  
Time Linear

scholarly journals Perfect observer resistant to the changes of dynamics of the standard linear system

2017 ◽  
Vol 65 (3) ◽  
pp. 313-316
Author(s):  
M. A. Sławiński
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Continuous Time ◽  
Numerical Examples ◽  
Standard Linear ◽  
Time Linear

AbstractThe article presents a class of perfect observers for standard continuous-time linear systems. Observers are resistant to significant changes in the dynamics of the system. The value of poles of the system can be unlimited as long as their number does not change and the conditions presented in this article are satisfied. There are presented numerical examples and simulations results.

Adaptive identification and control of continuous-time linear systems

2004 ◽  
Vol 37 (12) ◽  
pp. 573-578
Author(s):  
Dimitrios Karagiannis ◽  
Alessandro Astol
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Adaptive Identification ◽  
And Control ◽  
Time Linear

scholarly journals Reduced-order fractional descriptor observers for fractional descriptor continuous-time linear system

2014 ◽  
Vol 62 (4) ◽  
pp. 889-895 ◽  
Author(s):  
T. Kaczorek
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Continuous Time ◽  
Sufficient Conditions ◽  
Design Procedure ◽  
Necessary And Sufficient Conditions ◽  
Reduced Order ◽  
Numerical Examples ◽  
Necessary And Sufficient ◽  
Time Linear

Abstract Fractional descriptor reduced-order observers for fractional descriptor continuous-time linear systems are proposed. Necessary and sufficient conditions for the existence of the observers are established. The design procedure of the observers is given and is demonstrated on two numerical examples.

scholarly journals Asymptotic Stabilization of Continuous-Time Linear Systems with Input and State Quantizations

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Sung Wook Yun ◽  
Sung Hyun Kim ◽  
Jin Young Park
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Main Part ◽  
State Feedback ◽  
Decision Making Process ◽  
Stabilization Problem ◽  
Asymptotic Stabilization ◽  
Simulation Results ◽  
The Cost ◽  
Time Linear

This paper discusses the asymptotic stabilization problem of linear systems with input and state quantizations. In order to achieve asymptotic stabilization of such systems, we propose a state-feedback controller comprising two control parts: the main part is used to determine the fundamental characteristics of the system associated with the cost, and the additional part is employed to eliminate the effects of input and state quanizations. In particular, in order to implement the additional part, we introduce a quantizer with a region-decision making process (RDMP) for a certain linear switching surface. The simulation results show the effectiveness of the proposed controller.

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