State-Space Controller Design for the Fractional-Order Regulated System

TL;DR

This paper introduces a state-space control design for fractional-order systems, including mathematical modeling, pole placement, and stability analysis, supported by simulation results.

Contribution

It presents a novel state-space controller design specifically for fractional-order systems, with stability analysis and simulation validation.

Findings

Successful pole placement in fractional-order systems

Demonstrated stability through simulations

Validated control approach with numerical results

Abstract

In this paper we will present a mathematical description and analysis of a fractional-order regulated system in the state space and the state-space controller design based on placing the closed-loop poles on the complex plane. Presented are the results of simulations and stability investigation of this system.