Regional Control Subject to Actuator Amplitude and Rate Constraints Under Communication Protocols

Abstract

This paper addresses the regional control problem for networked systems under simultaneous actuator amplitude and rate constraints. Communication protocols are employed to manage signal transmission over the constrained network. Under the round-robin and try-once-discard protocols, sufficient conditions are derived, expressed as nonlinear matrix inequalities, to ensure the boundedness, H∞ performance, and asymptotic stability of the closed-loop systems. Some algorithms are proposed to optimize the performance indices under linear matrix inequality constraints. Two numerical examples illustrate the validity of the obtained results. Unlike earlier studies that focus mainly on communication protocols or amplitude constraints alone, this paper explicitly incorporates actuator rate constraints and systematically designs static feedback gains rather than assuming them known. As a result, the proposed method yields a less conservative estimate of the domain of attraction even under amplitude-only constraints, while maintaining simpler controller implementation compared to dynamic output-feedback strategies.