Getting more phase margin and performance out of PID controllers

Ho, Weng Khuen; Lim, Kelly; Hang, C.C.; Ni, Lei

doi:10.1016/s0005-1098(99)00055-2

Cited by 45 publications

(12 citation statements)

References 9 publications

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“…Moreover, it is known from classical control theory that the phase margin is related to the damping of the system and therefore can also serve as a performance measure. Phase margin was emphasised as a key index (Ho, Lim, Hang, and Ni 1999), consistent with empirical knowledge in practice. PID tuning rules based on specified GPMs is an open topic of discussion in the past two decades (Lee 2004).…”

Section: Introductionmentioning

confidence: 97%

Stability margin-based PD attitude control tuning for unstable flight vehicle

Sun¹,

Yang²,

Wang³

et al. 2013

International Journal of Systems Science

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Proportional-derivative (PD) attitude control is widely used for the flight vehicles, especially in boost phase. Some of the flight dynamics are open-loop unstable, which often limits the achievable closed-loop performance. Based on the intrinsic characteristics of the linear model obtained from the small perturbation theory, simple numerical analytical tuning formulae of PD attitude control are derived to meet the gain and phase margin specifications. According to Routh stability criterion, the decreasing gain margin is obtained by using the approximation of delay amid low frequency with the established tuning rule. Some numerical polynomial solving approaches are employed to seek the feasible stability margin region, which is explicitly plotted in the 2-D plane. Taking engineering practice into account, the maximum gain constraint is also imposed. Finally, several numerical examples are presented to validate the analysis result.

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Section: Introductionmentioning

confidence: 97%

Stability margin-based PD attitude control tuning for unstable flight vehicle

Sun¹,

Yang²,

Wang³

et al. 2013

International Journal of Systems Science

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“…Nevertheless such standard control strategies fail to provide good performance particularly under vibration conditions of the pointing systems due to active disturbances. In this study, the FOPID controller is introduced as an alternative robust control strategy to the PID control [13], [14], [15]. The conventional PID controller is one of the most used controller in industry for closed control-loops thanks to its simplicity in real time implementation.…”

Section: Introductionmentioning

confidence: 99%

Laser beam pointing and stabilization by fractional-order PID control: Tuning rule and experiments

Alalwan

Guo

Ndoye

et al. 2017

2017 IEEE Conference on Control Technology and Applications (CCTA)

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CitationAl-Alwan A, Guo X, N'Doye I, Laleg-Kirati T-M (2017 Abstract-This paper studies the problem of high-precision positioning of laser beams by using a robust Fractional-Order Proportional-Integral-Derivative (FOPID) controller. The control problem addressed in laser beams aims to maintain the position of the laser beam on a Position Sensing Device (PSD) despite the effects of noise and active disturbances. The FOPID controller is well known for its simplicity with better tuning flexibility along with robustness to noise and output disturbance rejections. Thus, a control strategy based on FOPID to achieve the control objectives has been proposed. The FOPID gains and differentiation orders are optimally tuned in order to fulfill the robustness design specifications by solving a nonlinear optimization problem. A comparison to the conventional Proportional-Integral-Derivative (PID) and robust PID is also provided from simulation and experiment set-up. Due to sensor noise, practical PID controllers that filter the position signal before taking the derivative have been also proposed. Experimental results show that the requirements are totally met for the laser beam platform to be stabilized.

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“…Since Ziegler and Nichols (1942) presented their PID controller tuning rules, a great number of other procedures have been developed as revealed in O'Dwyer (2006) review. Some of them consider only the system performance (López et al, 1967;Rovira et al, 1969), its robustness (Åström and Hägglund, 1984), or a combination of performance and robustness (Ho et al, 1999).…”

Section: Introductionmentioning

confidence: 99%