A novel fractional-order integral dynamical backstepping controller design for integer-order nonlinear systems: An application to mock cardiovascular circulatory system

Shahrzad Hedayati, Hasan Abbasi Nozari and Seyed Jalil Sadati Rostami

Chaos, Solitons & Fractals, 2025, vol. 192, issue C

Abstract: This paper proposes a novel conformable fractional-order integral dynamical backstepping (CFOIDBST) design procedure by incorporating conformable fractional calculus into the classical dynamical backstepping (DBST) approach. The primary objective is to develop a robust control strategy that improves control performance and handles inter- and intra-patient parameter uncertainties in an integer-order cardiovascular circulatory system. The CFOIDBST approach is applied to a system where a piston pump acts as a mock ventricle coupled with high-bandwidth pressure dynamics and nonlinearities due to the check valves. A simulated clinical trial based on the Monte-Carlo (MC) method is proposed to investigate patient-to-patient variability and confirms that the CFOIDBST controller outperforms other control design approaches, attributed to an extra fractional-order tuning parameter. Additionally, the stability of the closed-loop system, represented by integro-differential dynamics, is investigated based on the Lyapunov theorem.

Keywords: Fractional-order integral dynamical backstepping controller; Cardiovascular circulatory simulator; Monte-carlo simulation; Robustness analysis (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:192:y:2025:i:c:s0960077925000049

DOI: 10.1016/j.chaos.2025.115991

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