Computer Algebra Methods in Control Systems
Masoud Abbaszadeh
TL;DR
This paper surveys how computer algebra and symbolic computations can enhance the analysis and design of complex control systems, offering exact solutions and insights beyond numerical methods.
Contribution
It provides a concise overview of the applications of computer algebra in control systems, highlighting its role in analysis, design, and solution characterization.
Findings
Computer algebra enables analysis of complex control systems.
Symbolic methods help characterize all solutions before implementation.
The survey covers various applications of symbolic computations in control.
Abstract
As dynamic and control systems become more complex, relying purely on numerical computations for systems analysis and design might become extremely expensive or totally infeasible. Computer algebra can act as an enabler for analysis and design of such complex systems. It also provides means for characterization of all solutions and studying them before realizing a particular solution. This note provides a brief survey on some of the applications of symbolic computations in control systems analysis and design.
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Taxonomy
TopicsStability and Control of Uncertain Systems · Control and Stability of Dynamical Systems · Advanced Control Systems Design