MATLAB LTI Viewer

Compute and visualize LTI system responses from transfer function data, targeting engineering students and professionals analyzing control systems with MATLAB style representations.

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About This Tool

The tool accepts numerator and denominator coefficient arrays for LTI systems and a sample time to define a transfer function. It supports impulse, step, and frequency domain analyses, returning both numeric data and derived metrics. Conceptually, it models the system as H(s) = N(s)/D(s) and computes poles, zeros, and gain to characterize dynamics. It enables time-domain responses and frequency responses for continuous or discrete systems, depending on Ts. This is valuable for engineers evaluating stability margins, settling times, and dominant poles, as well as academics teaching control theory and students practicing system analysis. The unique value lies in providing a readily reproducible analytical workflow that aligns with standard control theory without requiring custom MATLAB code. Core features include automatic system type detection (continuous vs discrete from Ts), calculation of poles/zeros, time responses, magnitude and phase data, and summary metrics. Use cases span model validation, design iteration, and rapid scenario comparison to support tuning and stability checks. Outputs include numeric arrays, response curves data, and a concise report of key metrics. The tool emphasizes numerical robustness, proper handling of ill conditioned systems, and clear reproducibility for verification and teaching. It is well suited for researchers and practitioners who need fast, transparent LTI analysis without bespoke programming.

How to Use

Provide inputs: numerator N, denominator D, and Ts; optional names for input/output.
Choose analyses: impulse, step, bode, or time-domain simulation.
Run calculation: compute poles, zeros, gain, and response data.
Review outputs: inspect numeric results, poles/zeros, and metrics.
Export data: save coefficients, arrays, and metrics for reporting.

How to use matlab lti viewer

Frequently Asked Questions

Find Quick Answers

What inputs are required and what formats are supported?
You must provide N and D as numeric coefficient arrays and Ts as a real value in seconds (0 for continuous). Arrays should be in descending powers, e.g., N = [n0, n1, ..., nk]. Names are optional and not required for calculation.
What outputs does the tool generate?
The tool returns a transfer function object, pole-zero data, DC and finite gain, time-domain responses (impulse and step), and frequency-domain data (magnitude and phase). It also provides key metrics such as rise time and settling time for quick interpretation.
Can the tool handle discrete systems and what indicates discrete mode?
Yes. If Ts > 0 the system is treated as discrete and the analysis adapts accordingly. If Ts = 0, the system is treated as continuous. The tool validates inputs to avoid ill conditioned computations and provides warnings when needed.
What formats can outputs be exported to?
Numeric data can be exported as CSV or MATLAB‑friendly arrays, and coefficients can be saved in standard array formats for reuse in external scripts. This facilitates documentation, sharing, and reproducibility in reports.

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