Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 19 June 2020Accepted: 11 August 2021Published online: 04 January 2022Keywords1-D semilinear wave equation, PI regulation control, Neumann trace, partial differential equations (PDEs)AMS Subject Headings35L05, 35L71, 93C20Publication DataISSN (print): 0363-0129ISSN (online...

The paper shows that the digital proportional-integral-plus (PIP) controller formulated within the context of non-minimum state space (NMSS) control system design methodology is directly equivalent, under certain non-restrictive pole assignment conditions, to the equivalent digital Smith predictor (SP) control system for time delay systems. This allows SP controllers to be considered within the...

This paper considers the application of Proportional-Integral-Plus (PIP) control to the Lancaster University Computerised Intelligent Excavator (LUCIE), which is being developed to dig foundation trenches on a building site. Previous work using LUCIE was based on the ubiquitous PI/PID control algorithm, tuned on-line and implemented in a rather ad hoc manner. By contrast, the present research u...

This paper considers proportional-integral-plus (PIP) control of non-linear systems defined by state-dependent parameter models, with particular emphasis on three practical demonstrators: a microclimate test chamber, a 1/5th-scale laboratory representation of an intelligent excavator, and a full-scale (commercial) vibrolance system used for ground improvement on a construction site. In each cas...

Although it is able to exploit the full power of optimal state variable feedback within a non-minimum state-space (NMSS) setting, the proportional–integral-plus (PIP) controller is simple to implement and provides a logical extension of conventional proportional–integral and proportional–integral–derivative (PI/PID) controllers, with additional dynamic feedback and input compensators introduced...