This book considers proportional-integral-plus (PIP) control of non-linear systems defined by state-dependent parameter models, with particular emphasis on three practical demonstrators: a 1/5th-scale laboratory representation of an Lancaster University Computerized Intelligent Excavator (LUCIE), a full-scale (commercial) vibrolance system used for ground improvement on a construction site, and nonlinear ALSTOM Benchmark Challenge II. In each case, the system is represented using a quasi-linear State-Dependent Parameter (SDP) model structure, in which the parameters are functionally dependent on other variables in the system. The approach yields SDP-PIP control algorithms with improved performance and robustness in comparison with conventional linear PIP control. In particular, the new approach better handles the large disturbances and other non-linearities typical in the application areas considered.
