activity
20162026
most citedTowards a Theoretical Foundation of PID Control for Uncertain Nonlinear Systems

82 citations · 92 across the 10 of their papers we have counts for

collaborators

10 papers

eess.SY2026

Exact PID and PI Gain Regions for Uncertain Non-Affine MIMO Systems

Cheng Zhao

Characterizing all PID gains that guarantee uniform exponential regulation of uncertain nonlinear systems remains a fundamental problem. Most existing results provide only sufficie…

cs.RO2026

On Global Regulatability of Robot Manipulators by Classical PID

Cheng Zhao, Jingru Zhu, Lei Guo

A long-standing open problem in robot manipulator control is whether global regulation can be achieved by classical PID control. This paper provides an answer to this question for…

eess.SY2026

Towards Guaranteed Optimal PID Tuning for Uncertain Nonlinear Systems

Jingru Zhu, Cheng Zhao, Lei Guo

Despite the widespread use of PID controllers in engineering practice, designing optimal PID parameters has long been regarded as a challenging problem in both theory and practice,…

math.OC2025

Theory and Design of Extended PID Control for Stochastic Systems with Structural Uncertainties

Baoyou Qu, Cheng Zhao

Since the classical proportional-integral-derivative (PID) controller has continued to be the most widely used feedback methods in engineering systems by far, it is crucial to inve…

eess.SY2025

Necessary and Sufficient PID Gain Regions for Global Stabilization of Uncertain Second-Order MIMO Nonlinear Systems

Tianyou Xiang, Cheng Zhao

As is well known, classical PID control is ubiquitous in industrial processes, yet a rigorous and explicit design theory for nonlinear uncertain MIMO second-order systems remains u…

eess.SY2023

Tracking performance of PID for nonlinear stochastic systems

Cheng Zhao, Shuo Yuan

In this paper, we will consider a class of continuous-time stochastic control systems with both unknown nonlinear structure and unknown disturbances, and investigate the capability…

eess.SY2022

Understanding the Capability of PD Control for Uncertain Stochastic Systems

Cheng Zhao, Yanbin Zhang

In this article, we focus on the global stabilizability problem for a class of second order uncertain stochastic control systems, where both the drift term and the diffusion term a…

math.OC2020★ 82 cited

Towards a Theoretical Foundation of PID Control for Uncertain Nonlinear Systems

Cheng Zhao, Lei Guo

As is well-known, the classical PID control plays a dominating role in various control loops of industrial processes. However, a theory that can explain the rationale why the linea…

math.OC2019★ 9 cited

Extended PID Control of Nonlinear Uncertain Systems

Cheng Zhao, Lei Guo

Since the classical proportional-integral-derivative (PID) controller is the most widely and successfully used ones in industrial processes, it is of vital importance to investigat…

math.OC2016★ 1 cited

On the Capability of PID Control for Nonlinear Uncertain Systems

Cheng Zhao, Lei Guo

It is well-known that the classical PID controller is by far the most widely used ones in industrial processes, despite of the remarkable progresses of the modern control theory ov…