Static output feedback negative imaginary controller synthesis with an H∞ norm bound

Automatica ◽  
2021 ◽  
Vol 126 ◽  
pp. 109157
Author(s):  
Dingchao Ren ◽  
Junlin Xiong ◽  
Daniel W.C. Ho
Keyword(s):  
Output Feedback ◽  
Controller Synthesis ◽  
Static Output Feedback ◽  
Norm Bound ◽  
Static Output

H∞ Optimization of Fixed Structure Controllers

2000 ◽  
Author(s):  
Soichi Ibaraki ◽  
Masayoshi Tomizuka
Keyword(s):  
Output Feedback ◽  
Optimization Problem ◽  
Disk Drive ◽  
Controller Synthesis ◽  
Static Output Feedback ◽  
Single Input Single Output ◽  
Single Output ◽  
Head Positioning ◽  
Fixed Structure ◽  
Static Output

Abstract In this paper, the H∞ optimization problem of fixed structure linear controllers is considered. Applications of the problem include tuning of SISO (Single-Input Single-Output) PID (Proportional plus Integral plus Derivative) controller gains. The proposed algorithm starts with transformation of the original problems into a static output feedback controller synthesis problem, which does not impose any constraints on the controller structure except for its order. Unlike the full-order H∞ controller synthesis case, the H∞ optimization problem of static output feedback controllers cannot be reparameterized as a convex optimization problem. The cone complementarity linearization algorithm is used to overcome the nonconvexity problem due to the constraint on the controller order. The proposed algorithm is applied to the design of a SISO PID controller for head positioning of a magnetic hard disk drive.

scholarly journals Control of Discrete-Time Singularly Perturbed Systems via Static Output Feedback

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Dan Liu ◽  
Lei Liu ◽  
Ying Yang
Keyword(s):  
Discrete Time ◽  
Output Feedback ◽  
Perturbation Parameter ◽  
Singularly Perturbed ◽  
Static Output Feedback ◽  
Singularly Perturbed Systems ◽  
Closed Loop System ◽  
Perturbed Systems ◽  
Norm Bound ◽  
Static Output

This paper concentrates on control problems of discrete-time singularly perturbed systems via static output feedback. Two methods of designing an controller, which ensures that the resulting closed-loop system is asymptotically stable and meets a prescribed norm bound, are presented in terms of LMIs. Though based on the same matrix transformation, the two approaches are turned into different optimal problems. The first result is given by an -independent LMI, while the second result is related to . Furthermore, a stability upper bound of the singular perturbation parameter is obtained. The validity of the proposed two results is demonstrated by a numerical example.

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