Volume : 3 Issue : 3
State-Space Analysis and Controller Design for a Dynamic System Using MATLAB
Ehsan Shirzad* and Nima Hadizadeh
ABSTRACT
This paper presents a comprehensive analysis and design approach for a third-order linear timeinvariant (LTI) dynamic system using the state-space framework. Key contributions include deriving transfer functions from state-space representations, verifying system stability through eigenvalue and Lyapunov-based analysis, assessing system controllability and observability, and implementing canonical realizations. Advanced control strategies such as state feedback via pole placement and observer design are applied using MATLAB. Simulation results confirm system stability and tracking accuracy.
