Robust Control of Dynamic Systems

A special issue of Electronics (ISSN 2079-9292). This special issue belongs to the section "Systems & Control Engineering".

Deadline for manuscript submissions: 15 July 2026 | Viewed by 1338

Editors


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Guest Editor
Department of Mechanical Engineering, Prairie View A&M University, Prairie View, TX 77446, USA
Interests: robust control; hybrid systems; mechatronics and robotics

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Guest Editor
Department of Mechanical, Industrial and Systems Engineering, University of Rhode Island, Kingston, RI 02881, USA
Interests: hybrid system analysis and control; distributed control of multi-agent systems; dynamical pattern recognition and classification; data-driven modeling; multi-robot coordination; unmanned vehicles

Special Issue Information

Dear Colleagues,

Robust control has become a cornerstone in the management of dynamic systems subject to uncertainties, disturbances, and modeling inaccuracies. As real-world systems—from industrial machinery to autonomous vehicles and energy grids—operate in increasingly unpredictable environments, developing control strategies that ensure stability, performance, and reliability is critically important.

This Special Issue is dedicated to the latest advances in robust control theory, algorithm development, and practical applications for dynamic systems. It welcomes contributions that address challenges posed by uncertainties in system parameters, external disturbances, nonlinearities, and time-varying dynamics across diverse domains. Both theoretical developments and experimental validations are highly encouraged.

The scope of the Special Issue includes, but is not limited to the following:

  • Robust control methods for linear and nonlinear dynamic systems.
  • Adaptive and resilient control strategies for uncertain and time-varying environments.
  • Fault-tolerant control and disturbance rejection approaches.
  • Robust control applications in robotics, aerospace, manufacturing, power systems, and transportation.
  • Data-driven and learning-based robust control algorithms.
  • Analysis and synthesis tools for robustness assessment and performance guarantees.

Original research articles, comprehensive reviews, and case studies that advance the understanding and deployment of robust control techniques are invited. This Special Issue aspires to foster interdisciplinary contributions that push the boundaries of robust control in dynamic systems, supporting both academic and practical advancements in the field.

Dr. Chang Duan
Dr. Chengzhi Yuan
Guest Editors

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Keywords

  • robust stability
  • complex dynamic systems
  • robust controller synthesis
  • control applications

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Published Papers (2 papers)

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Research

35 pages, 5088 KB  
Article
Root Contour-Based Robust Admissibility Assessment of Controller Tunings Under Parametric Uncertainty
by Vesela Karlova-Sergieva
Electronics 2026, 15(12), 2501; https://doi.org/10.3390/electronics15122501 - 6 Jun 2026
Viewed by 181
Abstract
This study proposes a geometric procedure for robust controller tuning under parametric uncertainty, based on root-contour analysis of the closed-loop control system. For a fixed candidate controller tuning, the set of possible pole locations induced by the admissible variations of the control plant [...] Read more.
This study proposes a geometric procedure for robust controller tuning under parametric uncertainty, based on root-contour analysis of the closed-loop control system. For a fixed candidate controller tuning, the set of possible pole locations induced by the admissible variations of the control plant parameters is constructed. Robust admissibility is formulated as a geometric set-inclusion problem, requiring this set to remain inside a prescribed dynamic performance region in the complex s-plane. A distinction is introduced between nominal admissibility, robust stability, and robust admissibility, showing that stability over the entire uncertainty set is not sufficient to guarantee the desired dynamic performance. To quantify the root contours, several indices are defined, including the dispersion along the real and imaginary axes, the maximum pole displacement with respect to the nominal pole locations, and the geometric margin to the boundary of the performance region. The procedure is applied to the selection and verification of PI controller tunings for an uncertain single-input–single-output (SISO) control system and is further validated through examples with different structures of parametric uncertainty, including a system with a single uncertain parameter and a PID-controlled system with several uncertain control plant parameters. The results show that root-contour analysis can distinguish tunings that are only robustly stable from tunings that preserve the prescribed dynamic performance over the entire uncertainty set. Thus, the method can be used as a practical tool for the diagnosis, comparison, and selection of controller tunings under parametric uncertainty. Full article
(This article belongs to the Special Issue Robust Control of Dynamic Systems)
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22 pages, 3099 KB  
Article
A New Hyperbolic PID-Type Control Scheme for a Direct-Drive Pendulum
by Javier Blanco Rico, Fernando Reyes-Cortes and Basil Mohammed Al-Hadithi
Electronics 2026, 15(5), 942; https://doi.org/10.3390/electronics15050942 - 25 Feb 2026
Cited by 1 | Viewed by 654
Abstract
This paper addresses the position control problem for a Lagrangian pendulum. Using a strict Lyapunov function, a rigorous analysis is presented to prove that the closed-loop system equilibrium point composed of the pendulum dynamics and a classical linear PID control is globally asymptotically [...] Read more.
This paper addresses the position control problem for a Lagrangian pendulum. Using a strict Lyapunov function, a rigorous analysis is presented to prove that the closed-loop system equilibrium point composed of the pendulum dynamics and a classical linear PID control is globally asymptotically stable. Motivated by these results, the theoretical proposal is extended to analyze a novel hyperbolic PID-type control scheme; reformulating the Lyapunov function, global asymptotic stability of the equilibrium point for the corresponding closed-loop equation is demonstrated. The proposed hyperbolic scheme is a rational function with bounded control action composed of a suitable combination of hyperbolic sine and cosine functions. The hyperbolic structure is used in the proportional, integral, and derivative terms of the control algorithm to drive the position error and joint velocity to zero. Experimental results of both a linear PID and a novel hyperbolic PID-type controller on a direct-drive pendulum are presented to illustrate the effectiveness and performance of the proposed control algorithm. Full article
(This article belongs to the Special Issue Robust Control of Dynamic Systems)
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