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.

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 Superstabilization of Descriptor Continuous-Time Linear Systems via State-Feedback Using Drazin Inverse Matrix Method

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 940
Author(s):  
Kamil Borawski
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Matrix Method ◽  
State Feedback ◽  
Sufficient Conditions ◽  
Matrix Pencil ◽  
Inverse Matrix ◽  
Drazin Inverse ◽  
Feedback Gain ◽  
Time Linear

In this paper the descriptor continuous-time linear systems with the regular matrix pencil ( E , A ) are investigated using Drazin inverse matrix method. Necessary and sufficient conditions for the stability and superstability of this class of dynamical systems are established. The procedure for computation of the state-feedback gain matrix such that the closed-loop system is superstable is given. The effectiveness of the presented approach is demonstrated on numerical examples.

scholarly journals Analysis and Design of Robust Positivity and Stability for Continuous-Time Linear Uncertain Systems

2015 ◽  
Vol 2015 ◽  
pp. 1-4
Author(s):  
Kuo-Liang Yen ◽  
Kuo-Shong Wang ◽  
Yau-Tarng Juang
Keyword(s):  
Linear Programming ◽  
Continuous Time ◽  
Uncertain Systems ◽  
State Feedback ◽  
Robustness Analysis ◽  
Feedback Stabilization ◽  
Stabilization Problem ◽  
Numerical Examples ◽  
Analysis And Design ◽  
Time Linear

This paper deals with the analysis and design of positivity and stability of linear continuous conic systems. First, two robustness analysis theorems are proposed for the systems with state-feedback. Second, the state-feedback stabilization problem is solved by using linear programming (LP). Numerical examples are given for illustration. Finally, the conclusions are made.

scholarly journals Design of regular positive and stable descriptor systems via state-feedbacks for descriptor continuous-time linear systems with singular pencils

2014 ◽  
Vol 24 (3) ◽  
pp. 289-297
Author(s):  
Tadeusz Kaczorek
Keyword(s):  
Linear Systems ◽  
Continuous Time ◽  
Special Form ◽  
The State ◽  
New Method ◽  
Descriptor Systems ◽  
Descriptor System ◽  
Asymptotically Stable ◽  
Numerical Example ◽  
Time Linear

Abstract A new method is proposed of design of regular positive and asymptotically stable descriptor systems by the use of state-feedbacks for descriptor continuous-time linear systems with singular pencils. The method is based on the reduction of the descriptor system by elementary row and column operations to special form. A procedure for the design of the state-feedbacks gain matrix is presented and illustrated by a numerical example

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