Discretization Method of Continuous-Time Controllers Based on Frequency Response Fitting

Chida, Yuichi; Nishimura, Tatsuo

doi:10.9746/jcmsi.1.299

Cited by 6 publications

(2 citation statements)

References 12 publications

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“…In a broader context, the problem of maintaining acceptable control performance and robust stability margins during controller discretization has been extensively researched. Obviously, most of these studies focus on SISO systems (see Chapter 8 in [21]), and in the context of MIMO systems, the issues are more intricate [22]. In any case, the reality persists that the performance and robust stability margins of the discretized system are inferior to their pre-discretization counterparts, and the extent of this degradation is contingent on the sample time-larger sample times result in diminished performance and robust stability margins.…”

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confidence: 99%

Synthesis Methodology for Discrete MIMO PID Controller with Loop Shaping on LTV Plant Model via Iterated LMI Restrictions

Konkov,

Mitrishkin

2024

Mathematics

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This paper presents a methodology for synthesizing discrete MIMO PID controllers through iterative solutions of LMIs. It justifies the necessity of direct synthesis of discrete controllers in digital control systems. The proposed methodology allows for synthesizing an LTI controller for an LTV plant model, ensuring the robust stability of the synthesized system. Robustness is further ensured by the small-gain theorem and a novel approach to loop shaping, enabling the use of arbitrary shape functions. As a result, this methodology provides a broad statement of the problem with performance criteria necessary for practical application in control systems. Numerical examples are used to illustrate the methodology, which is implemented using the MATLAB toolbox, freely available for use.

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confidence: 99%

Synthesis Methodology for Discrete MIMO PID Controller with Loop Shaping on LTV Plant Model via Iterated LMI Restrictions

Konkov,

Mitrishkin

2024

Mathematics

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“…In this case, G r (s) must be designed such that the anti-resonance is not included and the ASPR property is maintained. An error transfer function (Chida and Nishimura, 2008) is described as follows:…”

Section: Condition For Frequency Matching Of G a (S) To G R (S)mentioning

confidence: 99%

PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting

Tanemura

Chida

2015

Mechanical Engineering Journal

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Simple adaptive control (SAC) is a control method that maintains control performance despite perturbations of a plant. However, there is a problem in that the vibratory output occurs in the transient response when SAC is applied to a vibration system which includes anti-resonance modes. The occurrence of the output depends on the structure of SAC and the output is caused by the vibratory input corresponding to the anti-resonance frequency. In order to overcome the problem, a method using an appropriate parallel feedforward compensator (PFC) is proposed. In the proposed method, an effective PFC is designed such that the gain of an augmented system is matched to that of a desired model under the ASPR condition of the augmented system. A design problem is described by LMI/BMI conditions. The problem using LMI/BMI conditions is solved by an iterative procedure. However, the leading coefficient of the PFC must be given a priori in order to guarantee the ASPR property, which provides some restrictions for applications of the proposed method. In the present paper, an improved method to overcome the abovementioned restrictions is proposed using the stability theorem of the descriptor system. The effectiveness of the proposed method is verified through numerical simulations and experiments.

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Feedback control design of a switched system using non-common solutions of a quadratic minimization problem

Iida

Chida

2014

2014 IEEE Conference on Control Applications (CCA)

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Discretization Method of Continuous-Time Controllers Based on Frequency Response Fitting

Cited by 6 publications

References 12 publications

Synthesis Methodology for Discrete MIMO PID Controller with Loop Shaping on LTV Plant Model via Iterated LMI Restrictions

Synthesis Methodology for Discrete MIMO PID Controller with Loop Shaping on LTV Plant Model via Iterated LMI Restrictions

PFC design method for SAC based on the stability theorem of the descriptor system and frequency response fitting

Feedback control design of a switched system using non-common solutions of a quadratic minimization problem

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