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Spyros Andreou
Savannah State University Savannah, GA 31404
Computer Science & IT Electrical & Electronics Engineering Engineering

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A Time-Varying System - Missile Dynamics Spyros Andreou
Bulletin of Electrical Engineering and Informatics Vol 3, No 3: September 2014
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (334.323 KB) | DOI: 10.11591/eei.v3i3.277

Abstract

Most of the control theory is developed around time-invariant systems where the state matrix A consists of scalars which are not functions of time. However, many physical systems are naturally modeled with the elements of the state matrix A depending on time. One example is the dynamics of a missile. Time- varying systems also arise when non-linear systems are linearized about a trajectory. In this work, the state-transition matrix is studied for time-varying systems in order to reach a general solution. The computational effort is significantly more complicated that the time-invariant case. There are many different methods in the literature for finding the state-transition matrix and one of them is adopted. Finally, a case study of Missile Dynamics will be analyzed and simulated in MATLAB.
A Time-Varying System - Missile Dynamics Spyros Andreou
Bulletin of Electrical Engineering and Informatics Vol 3, No 3: September 2014
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/eei.v3i3.277

Abstract

Most of the control theory is developed around time-invariant systems where the state matrix A consists of scalars which are not functions of time. However, many physical systems are naturally modeled with the elements of the state matrix A depending on time. One example is the dynamics of a missile. Time- varying systems also arise when non-linear systems are linearized about a trajectory. In this work, the state-transition matrix is studied for time-varying systems in order to reach a general solution. The computational effort is significantly more complicated that the time-invariant case. There are many different methods in the literature for finding the state-transition matrix and one of them is adopted. Finally, a case study of Missile Dynamics will be analyzed and simulated in MATLAB.
A Time-Varying System - Missile Dynamics Spyros Andreou
Bulletin of Electrical Engineering and Informatics Vol 3, No 3: September 2014
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (334.323 KB) | DOI: 10.11591/eei.v3i3.277

Abstract

Most of the control theory is developed around time-invariant systems where the state matrix A consists of scalars which are not functions of time. However, many physical systems are naturally modeled with the elements of the state matrix A depending on time. One example is the dynamics of a missile. Time- varying systems also arise when non-linear systems are linearized about a trajectory. In this work, the state-transition matrix is studied for time-varying systems in order to reach a general solution. The computational effort is significantly more complicated that the time-invariant case. There are many different methods in the literature for finding the state-transition matrix and one of them is adopted. Finally, a case study of Missile Dynamics will be analyzed and simulated in MATLAB.
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