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- Title
Control of coupled nonaffine multiagent stochastic systems by classical PID.
- Authors
Yuan, Shuo
- Abstract
The classical PID (proportional‐integral‐derivative) control is the most basic and widely used control algorithm in engineering systems by far. Whether PID control can effectively deal with coupled multiagent uncertain nonlinear dynamics is well worth investigating. In this article, a class of PID controlled multiagent stochastic systems with coupled uncertain dynamics is considered, where the control input is nonaffine. Each agent has its own regulation objective, and only has access to its own regulation error information for PID feedback. First, a PID parameter set will be constructed explicitly based on some prior knowledge about the nonlinear functions, such that the overall multiagent system can be stabilized globally in the mean square sense, as long as the PID parameters are chosen from the constructed set. Moreover, the regulation error will be proven to have an upper bound proportional to the noise intensity along the reference signal. Furthermore, it will be shown that the regulation error of each agent can be arbitrarily small by choosing the PID parameters suitably large. Finally, the theoretical results will be verified by simulations.
- Subjects
MULTIAGENT systems; AUTOMATIC control systems; NONLINEAR functions; ENGINEERING systems; STOCHASTIC systems; UNCERTAIN systems; PRIOR learning
- Publication
International Journal of Robust & Nonlinear Control, 2024, Vol 34, Issue 9, p5774
- ISSN
1049-8923
- Publication type
Article
- DOI
10.1002/rnc.7329