Modal design of continuous-time tracking systems

Crossley, T. R.

doi:10.1080/00207177708922219

Cited by 4 publications

(3 citation statements)

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“…Aiming to include believability and its corresponding users' references to be an element of the information system design, we first review relevant models of existing systems. We found that the continuous-time tracking system model denoted by Crossley (1977) and Wang and Strong (1996) would enable us to conceptualize the traceability of believability. Combining with Pradhan's (2005) perspective of believability, we conceptualize believability in a continuous-time traceability model as follows.…”

Section: A Model Of a Continuous-time Tracking System With Referenced...mentioning

confidence: 99%

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Understanding Entrepreneurial Opportunity Evaluations: An Institutional Logics Approach

Garud,

Pati,

Sutter

et al. 2024

Proceedings of the Annual Hawaii International Conference on System Sciences

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Ownership information of high value assets such as property is often concealed and fragmented, adversely affecting information believability. Following the design science research approach, we conceptualize believability as a data quality dimension that supports ownership traceability. We then investigate how blockchain technology might improve information believability in ownership traceability systems. We represent and address our findings via the development of a blockchain-based continuous timestamps tracking system model, framework and implementation for property ownership. A use case of banking transactional data for property ownership traceability is introduced to illustrate our workflow and system design. The proposed system takes advantage of blockchain technology such as traceability and irreversibility to support information believability in the design, management, and use of information systems.

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Section: A Model Of a Continuous-time Tracking System With Referenced...mentioning

confidence: 99%

“…Let 𝑊𝑊(𝑡𝑡) be an input command vector at time 𝑡𝑡, following Crossley (1977) continuous-time tracking model, the system is required to track command inputs of the form:…”

Section: A Model Of a Continuous-time Tracking System With Referenced...mentioning

confidence: 99%

Understanding Entrepreneurial Opportunity Evaluations: An Institutional Logics Approach

Garud,

Pati,

Sutter

et al. 2024

Proceedings of the Annual Hawaii International Conference on System Sciences

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“…Let w be replaced by the right-hand side of (11) in (12) and u be replaced then by the new right-hand side of (11) in (la) so that Hence, det A # 0 and (la) can be set in the form…”

Section: Pro0 F Necessity: Since the System (1) Is Time-invariant Andmentioning

confidence: 99%

PD‐control for stablewise tracking with finite reachability time: Linear continuous‐time mimo systems with state‐space description

Grujić

Mounfield

1993

Intl J Robust & Nonlinear

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The key problems addressed and solved in the framework of time‐invariant continuous‐time multiple‐input multiple‐output (MIMO) linear systems are the following: (a) the necessary and sufficient condition on the system under which there exists a control that can force the system to exhibit a requested tracking property without using any information about the mathematical description of the system internal dynamics and external disturbances; (b) the synthesis of an output error algorithm expressing stablewise tracking with finite (pre‐specified) reachability time; (c) the synthesis of a Proportional‐Derivative (PD) control algorithm for stablewise tracking with finite (given) reachability time without utilizing a mathematical model of the system internal dynamics, its state and the unmeasured, unknown time‐varying disturbances. Simulation results illustrate the theory with an unstable MIMO system under different desired stablewise tracking settling times.

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Natural tracking control of time invariant linear systems described by IO differential equations

Grujić

Mounfield²

[1991] Proceedings of the 30th IEEE Conference on Decision and Control

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In (1) t denotes time, t a the initial time t p 0 , y is the output New system and control concepts of the natural trackability and of the natural tracking control are introduced in the framework of time-invariant linear systems described by input-output n-th order vector differential equations. The necessary and sufficient conditions are proved for the system to be naturally trackable and for the natural tracking control synthesis with completely unknown internal dynamics of the system. I -INTRODUCTIONThe original goal of a control is an appropriate kind of tracking. Although the stability approach to control analysis and synthesis has been governing control theory and engineering, the tracking considerations have been attracting research and design interests at least since 1945 [45]. Asymptotic tracking (in short tracking) has been mainly studied ([1]-[15],[17-29],[31]-[36],[38],[44]-[48],[50]-[52],[54]-[61],[71]-[77]) in a broad sense and from the point of view of robustness ([5]-[13],[31],[32],[34],[36],[46],[66]-[70],[78]-[80]). The related problem of disturbance compensation was considered together with tracking ([ 161, [ 18],[ 321, [ 471, [53], [56 J, [ 591, [ 621, [64], [70],[75],[81]). The problem of optimal tracking was investigated in [ 3 1 , [ 3~1~~~~1 -~~~1~[~~1 , [~~1 , [~~1 .The real system output is to be controlled so as to appropriately track any desired output from a given family, under action of any external disturbance belonging to a specified class and with a requested quality. This aim should be achieved even if the whole internal dynamics of the system is not known. Hence, the question arises whether there exists at all such a control. In order to clarify this we shall introduce the concept of the system natural trackability. The problem of the necessary and sufficient conditions posed in this paper for time-invariant linear systems described by input-output differential equations is also completely solved herein.Another problem of designing a control without using any information about the system internal dynamics originates the concept of the natural tracking control. The necessary and sufficient conditions for the synthesis of a natural tracking control are proved by following the conceptual approach proposed in [261,[291,[301. II -SYSTEM DESCRIPTION A system (plant, process) to be controlled together with sensors and final controller devices (e.g. actuators) is governed by the input-output time-invariant linear vector differential equation (I), vector (function), y:!JWP, y(t) is the output vector at time E%, U is the control vector (function), u:!JbRm, u(t) is the control vector at time t, and d is the disturbance vector (function), d:%%q, d(t) is the disturbance vector at time t. All the matrices have the appropriate dimensions. A class of systems described by(1) to be considered is determined by the next property. 3)The matrices Ab k=O,l ..., n-I may be completed unknown. The matrices A, and 8, k=O,I, ..., m are known, and &tThe matrices E, k=O,I, ...,p may be completely unknown.i,d....

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Modal design of continuous-time tracking systems

Cited by 4 publications

References 1 publication

Understanding Entrepreneurial Opportunity Evaluations: An Institutional Logics Approach

Understanding Entrepreneurial Opportunity Evaluations: An Institutional Logics Approach

PD‐control for stablewise tracking with finite reachability time: Linear continuous‐time mimo systems with state‐space description

Natural tracking control of time invariant linear systems described by IO differential equations

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