scholarly journals Robust State Feedback Controller Design Method Guaranteeing Deterministic H∞ Performance and Stochastic Stability

2020 ◽  
Vol 56 (5) ◽  
pp. 275-283
Author(s):  
Keishi NIWA ◽  
Masayuki SATO ◽  
Shuichi ADACHI
Keyword(s):  
Stochastic Stability ◽  
State Feedback ◽  
Controller Design ◽  
Design Method ◽  
Feedback Controller ◽  
State Feedback Controller

Robust Control for Networked Control Systems With Admissible Parameter Uncertainties

2005 ◽  
Author(s):  
Kun Ji ◽  
Won-Jong Kim
Keyword(s):  
Control Systems ◽  
Time Delays ◽  
State Feedback ◽  
Controller Design ◽  
Networked Control Systems ◽  
Design Method ◽  
Feedback Controller ◽  
Dynamic State ◽  
Parameter Uncertainties ◽  
State Feedback Controller

In this paper, robust H∞ control problems for networked control systems (NCSs) with network-induced time delays and subject to norm-bounded parameter uncertainties are presented and solved. Based on a new discrete-time model, two approaches of robust controller design are proposed—design of a memoryless state-feedback controller and design of a dynamic state-feedback controller. The proposed memoryless state-feedback controller design method is given in terms of linear matrix inequalities (LMIs), and the delay bound can be computed by using the standard LMI techniques. A numerical example is given to illustrate the feasibility and effectiveness of this methodology. The proposed dynamic state-feedback controller design method is based on a discrete-time Artstein transform. With the sufficient conditions for robust stability and H∞ control developed in this paper, we also derive the upper bound of network-induced time delays and the lower bound of the network date-transmission rate that can be used as a guideline in choosing proper networks as communication media for NCSs. We constructed an NCS test bed to experimentally verify the feasibility and effectiveness of proposed design methodologies.

Robust PD State Feedback Controller Design for Uncertain Singular Systems

2011 ◽  
Vol 403-408 ◽  
pp. 3813-3818
Author(s):  
Jian Wu Zhu ◽  
Yuan Chun Ding
Keyword(s):  
State Feedback ◽  
Controller Design ◽  
Singular Systems ◽  
Sufficient Conditions ◽  
Feedback Controller ◽  
State Feedback Controller ◽  
Closed Loop Systems ◽  
Uncertain Singular Systems ◽  
Parameter Dependent ◽  
Robust Stability And Stabilization

This paper is concerned with the problem of robust stability and stabilization of singular systems with uncertainties in both the derivative and state matrices. By using a parameter dependent Lyapunov function, we derive the LMI-based sufficient conditions for the stabilization of the singular systems. Secondly, by solving these LMIs, a proportional plus derivative (PD) state feedback controller is designed for the closed-loop systems to be quadratically normal and quadratically stable (QNQS). Finally, the numerical example is given to show the effectiveness of the proposed theorems.

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