An Adaptive Control Policy of Discrete-Time Linear Systems With Random Parameters

1979 ◽  
Vol 101 (4) ◽  
pp. 361-363
Author(s):  
Toshio Yoshimura ◽  
Masanori Kiyota ◽  
Takashi Soeda
Keyword(s):  
Adaptive Control ◽  
Feedback Control ◽  
Linear Systems ◽  
Discrete Time ◽  
Control Policy ◽  
Optimal Feedback Control ◽  
Random Parameters ◽  
Control Cost ◽  
Simulation Results ◽  
Time Linear

An adaptive control policy of discrete-time linear systems with random parameters under a quadratic control cost function is treated. The policy is mainly based on the concept of one-measurement optimal feedback control. Simulation results indicate that the proposed method is superior to the certainty equivalence control.

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.

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