Dual-axis control of flexure-based motion system for optical fibre transceiver assembly using fixed-order controller

Zhu, Haiyue; Pang, Chee Khiang; Teo, Tat Joo

doi:10.1016/j.isatra.2018.10.022

Cited by 8 publications

(3 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The second- and third-order controllers were synthesized for the current and voltage loops, respectively. A fixed-order robust H ∞ controller was synthesized for the two-degree-of-freedom (2-DOF) flexure-based motion system concerning the disturbances by Zhu et al (2019). The complexity of the high-order controllers in practice led researchers to obtain popular structured controllers such as linear quadratic regulator (LQR), lead-lag, PID, or third-order integral-lead (Type-III) controllers.…”

Section: Introductionmentioning

confidence: 99%

Robust structured controller synthesis for interleaved boost converters using an H_∞ control method

Keskin

Aliskan

Daş

2021

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

The regulation of output voltage and equivalent distribution of phase currents of multi-phase converters which have non-minimum phase characteristic are still challenges, especially in the presence of uncertainties in real parameters, duty cycle, input voltage, and load disturbances. However, in classical third-order integral-lead (Type-III) controller design methodologies, the controller is synthesized considering only the nominal performance conditions. This paper proposes a structured [Formula: see text] synthesis framework based on an optimization methodology to the design of a robust Type-III controller for interleaved boost converters. The structured [Formula: see text] control approach is adapted for optimization of Type-III feedback and feedforward controllers in two-degree-of-freedom (2-DOF) control system configuration. The robust stability of the closed-loop interleaved boost converter system against model uncertainties is ensured via the classical [Formula: see text]-analysis technique. Numerical comparisons are made among the classical, i.e. unstructured or full order, [Formula: see text]-based controller design method, a dual-loop PI controller, and proposed 1-DOF and 2-DOF structured controller synthesis approaches on an interleaved boost converter model. Simulation results verify the effectiveness and advantages of the proposed approach from the viewpoint of the output voltage regulation under different disturbance points.

show abstract

Section: Introductionmentioning

confidence: 99%

Robust structured controller synthesis for interleaved boost converters using an H_∞ control method

Keskin

Aliskan

Daş

2021

Transactions of the Institute of Measurement and Control

View full text Add to dashboard Cite

show abstract

“…The order of the resulting full‐order robust controller is equal to the order of the augmented plant, that is, the sum of the order of the three above mentioned function. In practical industrial control applications, fixed‐order (low‐order) controllers such as lead‐lag compensators and proportional‐integral‐derivative (PID) controller are preferred because of their easily adjustable structures, practicality and low processing requirements on embedded system [9]. The

H_{\infty}

control problem leads to an NP‐hard non‐convex problem in controller parameter space if a fixed‐order controller structure is considered instead of a full‐order controller in state space or linear matrix inequalities (LMI) based solution algorithms [10].…”

Section: Introductionmentioning

confidence: 99%

Robust data‐driven fixed‐order controller synthesis: Model matching approach

Daş

Başlamışlı

2020

IET Control Theory & Appl

View full text Add to dashboard Cite

In this paper, a new data‐driven fixed‐order H∞ controller design method based on convex optimisation is proposed for linear single input single output systems. The proposed non‐parametric frequency domain data based approach renders the need for a mathematical model of the controlled plant unnecessary. First, a semi‐definite convex optimisation algorithm is proposed to simultaneously compute a minimal uncertainty model and an optimal nominal model from the experimental data. Then the H∞ robust performance condition, control input constraints and the closed‐loop model matching objective are described by convex functions with respect to the parameters of the controller. The usefulness and efficiency of the proposed approach are verified experimentally with application to the control of a thrust vector control system.

show abstract

“…In view of the great potential for practical usage, the methodology of fixed-order controllers have attracted considerable attention for finite frequency specifications due to their simplicity, reliability, and ease of implementation [24,25]. Though the design of a fixed-order controller in the presence of parametric uncertainties is NPhard, a variety of design approaches have been rather successfully used including bilinear matrix inequality (BMI) [26,27], convex approximation [28,29] and iterative heuristic optimization [30].…”

Section: Introductionmentioning

confidence: 99%

On Robust Stability and Performance with a Fixed-Order Controller Design for Uncertain Systems

Zhu

Tomizuka

et al. 2019

Preprint

Self Cite

View full text Add to dashboard Cite

Typically, it is desirable to design a control system that is not only robustly stable in the presence of parametric uncertainties but also guarantees an adequate level of system performance. However, most of the existing methods need to take all extreme models over an uncertain domain into consideration, which then results in costly computation. Also, since these approaches attempt (rather unrealistically) to guarantee the system performance over a full frequency range, a conservative design is always admitted. Here, taking a specific viewpoint of robust stability and performance under a stated restricted frequency range (which is applicable in rather many real-world situations), this paper provides an essential basis for the design of a fixedorder controller for a system with bounded parametric uncertainties. A Schur polynomial is used in the design and the robust stability is characterized by the notion of positive realness, such that the required robust stability condition is then suitably successfully constructed. Also, the robust performance criteria in terms of sensitivity shaping under different frequency ranges are constructed based on an approach of bounded realness analysis. Necessary and sufficient conditions are provided for both the robust stability and robust performance criteria. Furthermore, these conditions are expressed in the framework of linear matrix inequality (LMI) constraints, and thus can be efficiently solved. A numerical example is provided to illustrate the effectiveness of the proposed approach.

show abstract

Dual-axis control of flexure-based motion system for optical fibre transceiver assembly using fixed-order controller

Cited by 8 publications

References 32 publications

Robust structured controller synthesis for interleaved boost converters using an H_∞ control method

Robust structured controller synthesis for interleaved boost converters using an H_∞ control method

Robust data‐driven fixed‐order controller synthesis: Model matching approach

On Robust Stability and Performance with a Fixed-Order Controller Design for Uncertain Systems

Contact Info

Product

Resources

About

Dual-axis control of flexure-based motion system for optical fibre transceiver assembly using fixed-order controller

Cited by 8 publications

References 32 publications

Robust structured controller synthesis for interleaved boost converters using an H∞ control method

Robust structured controller synthesis for interleaved boost converters using an H∞ control method

Robust data‐driven fixed‐order controller synthesis: Model matching approach

On Robust Stability and Performance with a Fixed-Order Controller Design for Uncertain Systems

Contact Info

Product

Resources

About

Robust structured controller synthesis for interleaved boost converters using an H_∞ control method

Robust structured controller synthesis for interleaved boost converters using an H_∞ control method