scholarly journals H ∞ Preview Control of A Class of Uncertain Discrete-Time Systems

2017 ◽  
Vol 19 (4) ◽  
pp. 1542-1556 ◽  
Author(s):  
Li Li ◽  
Fucheng Liao ◽  
Jiamei Deng
Keyword(s):  
Discrete Time ◽  
Preview Control ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals Discrete-TimeH∞Preview Control Problem in Finite Horizon

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Hongxia Wang ◽  
Huanshui Zhang ◽  
Lihua Xie
Keyword(s):  
Game Theory ◽  
Dynamic Programming ◽  
Control Problem ◽  
Discrete Time ◽  
Finite Horizon ◽  
The Other ◽  
Preview Control ◽  
Discrete Time Systems ◽  
Other Hand ◽  
Time Systems

This paper considers theH∞preview control problem for discrete-time systems. It investigates the problem via game theory and dynamic programming. Different from the existing results, on one hand, the proposed approach is suitable for dealing with the corresponding multiple preview channels problem; on the other hand, the approach provides a possibility in explaining how the preview controller improves theH∞performance and why the performance will be saturated.

scholarly journals Adaptive preview control for piecewise discrete-time systems using multiple models

2016 ◽  
Vol 40 (23-24) ◽  
pp. 9932-9946 ◽  
Author(s):  
Di Wang ◽  
Fucheng Liao ◽  
Masayoshi Tomizuka
Keyword(s):  
Discrete Time ◽  
Multiple Models ◽  
Preview Control ◽  
Discrete Time Systems ◽  
Time Systems

scholarly journals Optimal Preview Control for Discrete-Time Systems in Multirate Output Sampling

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Fucheng Liao ◽  
Yujian Guo
Keyword(s):  
Control Problem ◽  
Discrete Time ◽  
Original System ◽  
Preview Control ◽  
Lifting Technique ◽  
Discrete Time Systems ◽  
Error System ◽  
Existence Conditions ◽  
Time Systems ◽  
Discrete Integrator

This paper studies the disturbance preview optimal control problem for discrete-time systems with multirate output sampling. By constructing the error system and using the discrete lifting technique, we reduce the multirate preview control problem to a single-rate one for a formal augmented system. Then, applying preview control theory, the optimal preview control law of the augmented error system is obtained. Meanwhile, we introduce a discrete integrator to eliminate the static error. Then we study a method to design a controller with preview action for the original system. And the existence conditions of the controller are also discussed in detail. Finally, numerical simulation is included to illustrate the effectiveness of the proposed method.

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