COMBINED CONTROL SYSTEM FOR THE OUTPUT OF A LINEAR PLANT WITH UN-KNOWN RELATIVE ORDER

We consider a system of combined control over the output of a linear structurally and parametrically indeterminate plant, synthesized within the framework of applying the hyperstability criterion and L-dissipativity conditions, as well as by using two filter correctors in a scheme with an implicit standard. The functioning of the plant is examined in the presence of external limited interference, when only its scalar input and output, and not their derivatives, are available for measurement

Predictor Feedback of Uncertain Single-Input Systems

This chapter presents the predictor feedback for uncertain single-input systems. This is based on the predictor feedback framework for uncertainty-free single-input systems in the previous chapter. The chapter addresses the five combinations of the five uncertainties that come from a single-input linear plant with distributed actuator delay. These uncertainties include the following types: unknown delay, unknown delay kernel, unknown parameters in the system matrix, unmeasurable finite-dimensional plant state, and unmeasurable infinite-dimensional actuator state. The chapter then studies adaptive state feedback under unknown delay, delay kernel, and parameter. It also assesses robust output feedback under unknown delay, delay kernel, and PDE or ODE state.