Bode compensator design

Wakeland, W.

doi:10.1109/tac.1976.1101362

Cited by 50 publications

(15 citation statements)

References 2 publications

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“…Chen and Shieh (1970) and Wakeland (1976) have proposed analytical methods for the compensator fitting. However, their methods are limited to filters and compensators in which the unknown coefficients can be solved by a quadratic equation.…”

Section: Re[g(jw)]mentioning

confidence: 99%

A method for modelling transfer functions using dominant frequency-response data and its applications

Shieh

Datta-Barua

Yates

1979

International Journal of Systems Science

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This paper presents a fundamental method for modelling transfer functions using the basic performance epecificat.ions and frequency-response data. at the dominant frequencies. A Bet of non-linear equations is constructed from the definitions of the basic performance specifications, the dominant frequency-response data and the unknown coefficients of a transfer function. A Newton-Raphson multidimensional method ia applied to solve the non-linear equations. Four methods are given to construct approximate representations of the desired transfer functions for the estimation of good starting values to ensure rapid convergence of the numerical method. The applications of the proposed method are: (I) developing a standard model and/or a transfer function of a filter or a compensator using the specified dominant frequency-response data; (2) identifying the transfer function of B. system from available experimental frequency-response data; and (3) reducing high-order transfer functions to low-order models using dominant frequency-response data. IntroductionThe nature of the transient response of a system is often characterized by a set of performance specifications in the time domain such as the settling time and the rising time. In the frequency domain, another set of performance specifications (Gibson and Rekasius 1961) is used to represent the characteristics of the system performance. The bandwidth and the phase margin are typical examples of the frequency domain specifications. In designing compensators and filters, and in predicting the nature of time response of a system, practicing engineers are often interested in the dominant poles. These can be converted to a damping ratio and a natural angular frequency specified in the complex plane. These specifications are often called the complex-domain specifications. The-engineer is also interested in various error constants (for example, the velocity-error constant), which represent the characteristics of system performance in both time and frequency domains (Truxal 1955). The frequency-response data at the frequencies of the frequency-domain specification are considered as the dominant frequency-response data in this paper because these data characterize the nature of the system responses. For example, the phase margin (¢>m) of a system at the gain-crossover frequency (we) is often used as a measure of additional phase lag required to bring the system to the verge of instability. Also, if the phase angle of the open-loop system at the We is near -180 0 , then the response of the closed-loop system .will be oscillatory.

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Section: Re[g(jw)]mentioning

confidence: 99%

A method for modelling transfer functions using dominant frequency-response data and its applications

Shieh

Datta-Barua

Yates

1979

International Journal of Systems Science

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“…Traditionally compensator design is carried out intuitively based on physical parameters of launch vehicles. This design may not be optimal and is arrived at after a long trial and error procedure to fulfill frequency and time domain requirements [5], [6]. The control System performance in each stage of the launch vehicle undergoes various checks prior to launch.…”

Section: Introductionmentioning

confidence: 99%

Optimal controller based servo system design for the thrust vector control of liquid propellant engine of three stage launch vehicle

Suchitra

Kurian

Jones

2014

2014 Annual International Conference on Emerging Research Areas: Magnetics, Machines and Drives (AICERA/iCMMD)

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Thrust Vector Control (TVC) ActuationSystem gimbals the rocket nozzle that provides precise steering for the launch vehicle. A small rotation of the gimbal is sufficient for generating a significant amount of force or thrust at the gimbal point. The force generated via TVC actuation system stabilizes and steers the vehicle in the required direction to overcome the wind-gust disturbances and balance the aerodynamic movements. The State space model of the linear actuator is considered for the servo system design. The Linear Quadratic Regulator (LQR) is an optimal method in modern control theory that uses state-space technique to analyze or scrutinize the servo systems. The system can be stabilized, using full state feedback under the assumption that all state variables are measurable and are available for feedback. This technique nearly eliminates the trial and error complexity of conventional compensator based design methodology for the TVC actuation systems. NOMENCLATUREB e Viscous damping coefficient of engine B m Viscous damping of torque motor J e Engine Moment of inertia (MI) J m MI of torque motor Rotating Assembly K cf Current loop feedback gain Kl Actuator mounting structure stiffness Kp Position sensor (LVDT) scalar factor K T Torque sensitivity of motor lm Actuator lever arm length nb Ball screw gear ratio N ch Number of operating channels of torque motor I.

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“…First, unlike other analytical synthesis methods [26], steady-state performance specifications can be handled easily. Moreover, the desired phase/gain margins and crossover frequency can be achieved exactly, without the need for trial-and-error or approximations of the plant dynamics.…”

Section: Introductionmentioning

confidence: 99%

On the use of inversion formulae for the synthesis of discrete PID controllers

Cuoghi

Ntogramatzidis

2013

21st Mediterranean Conference on Control and Automation

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This paper presents a new set of formulae for the design of discrete proportional-integral-derivative (PID) controllers under requirements on steady-state performance and robustness specifications, such as the phase and the gain margins, as well as the gain crossover frequency. The proposed technique has the advantage of avoiding trial-anderror procedures or approximations connected to an a posteriori discretisation. This method can also be implemented as a graphical design procedure in the Nyquist plane.

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Bode compensator design

Cited by 50 publications

References 2 publications

A method for modelling transfer functions using dominant frequency-response data and its applications

A method for modelling transfer functions using dominant frequency-response data and its applications

Optimal controller based servo system design for the thrust vector control of liquid propellant engine of three stage launch vehicle

On the use of inversion formulae for the synthesis of discrete PID controllers

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