The minimum-moment-of-error-squared criterion: a new performance criterion for servo mechanisms

Westcott, J. H.

doi:10.1049/jiee-2.1954.0119

Cited by 3 publications

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“…the determining of  , 1  , and D K , is achieved by minimizing a novel performance index. In the literature, for tuning PID controller parameters, some performance indices in frequency domain such as Integrated Absolute Error (IAE), Integral of SquaredError (ISE), and the Integrated of Time-Weighted-Squared-Error (ITSE) are introduced (Westcott (1954), Krohling (2001)). The proposed integral performance indices have their own advantages and disadvantages (Gaing (2004)).…”

Section: T H M I I I M I I Imentioning

confidence: 99%

Robust Optimal Adaptive Trajectory Tracking Control of Quadrotor Helicopter

Navabi

Mirzaei

2017

Lat. Am. j. solids struct.

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This paper focuses on robust optimal adaptive control strategy to deal with tracking problem of a quadrotor unmanned aerial vehicle (UAV) in presence of parametric uncertainties, actuator amplitude constraints, and unknown time-varying external disturbances. First, Lyapunov-based indirect adaptive controller optimized by particle swarm optimization (PSO) is developed for multi-input multi-output (MIMO) nonlinear quadrotor to prevent input constraints violation, and then disturbance observer-based control (DOBC) technique is aggregated with the control system to attenuate the effects of disturbance generated by an exogenous system. The performance of synthesis control method is evaluated by a new performance index function in time-domain, and the stability analysis is carried out using Lyapunov theory. Finally, illustrative numerical simulations are conducted to demonstrate the effectiveness of the presented approach in altitude and attitude tracking under several conditions, including large time-varying uncertainty, exogenous disturbance, and control input constraints.

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Section: T H M I I I M I I Imentioning

confidence: 99%

Robust Optimal Adaptive Trajectory Tracking Control of Quadrotor Helicopter

Navabi

Mirzaei

2017

Lat. Am. j. solids struct.

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“…λ and order of the filter, "b" are to be optimised. Although, Integral of Squared Error (ISE) is generally used as performance index for optimisation in control system design, but here Integral of Time weighted Squared Error (ITSE) has been considered because the later one gives less settling time [33]. The objective function to be minimised to obtain the value of controller parameter(s) for IMC is defined as:…”

Section: Genetic Algorithmmentioning

confidence: 99%

IMC Based Fractional Order Controller for Three Interacting Tank Process

2017

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“…About the same time that the Graham and Lathrop paper appeared, a paper concerning another integral form was presented by Wescott [15] in England. This integral, called the "moment-of-error-squared" IS…”

Section: Class Of Systemmentioning

confidence: 99%

Control system performance measures: Past, present, and future

Schultz

Rideout

1961

IRE Trans. Automat. Contr.

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accepting or rejecting a system design on the basis of this number. In a mathematical sense, this number is a metric, since it gives the "distance" between two functions. The actual process of selecting which metric is to be used to "measure the distance" between a desired output time-function and an approximation to the desired function is, of course, the major difficulty. It is here that a certain amount of personal opinion is found. Surely the choice should be governed by usefulness, in that the particular metric which is selected must be a convenient one to use, as well as one which yields practical results.Because real command signals, disturbances, and even system parameter values have random characteristics, it might be expected that choice of metrics or performance measures might be based upon statistical descriptions of these input functions. In the past, however, such a basis for metric choice seems often to have been more intuitive than explicit, and considerations of mathematical or computer equipment have often hidden a recognition of the underlying statistical problem.The written history of performance measures dates back to 1942, the earliest date of any published material found by the authors. The classified nature of the development of servomechanism theory during World War II con tributed to the delay in publication. For example, an early paper to appear in this country on the subject is the one written by Hall [1] in 1943, which had the classification, "restricted."Although it was not stated in an explicit mathematical form of a metric, the first proposal of a measure of the error of a control system is the "deviation area" concept of Obradovic [2]. His paper appeared in a German publication in 1942. According to Obradovic, the starting point for obtaining the deviation area is to "write the differential equation that describes the system, for example, Summary-An increased amount of emphasis on the mathematical formulation of control system performance can be found in recent literature on automatic control. There are two areas of control system theory in which the application of performance measures is of interest: 1) the evaluation of control system designs in general, and 2) the design of adaptive control systems. In the former case, the performance measure is becoming an increasingly important aid to the control system designer. In the latter case, the performance measure takes on even greater significance, since adaptive systems include, by definition, a performance measure as an essential function which permits correction of system dynamic response during actual operation. Furthermore, the over-all evaluation of the adaptive loop itself presents new problems in the choice and use of performance criteria.In the past, emphasis has been placed on various types of integrals, such as integral of error-squared and integral of the product of time and absolute error (ITAE); present emphasis is being placed on forms of integrals of a more general type; the trend for future emphasis appears to be in...

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The minimum-moment-of-error-squared criterion: a new performance criterion for servo mechanisms

Cited by 3 publications

References 0 publications

Robust Optimal Adaptive Trajectory Tracking Control of Quadrotor Helicopter

Robust Optimal Adaptive Trajectory Tracking Control of Quadrotor Helicopter

IMC Based Fractional Order Controller for Three Interacting Tank Process

Control system performance measures: Past, present, and future

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