an:06555191
Zbl 1332.93155
Xu, Xiaodong; Dubljevic, Stevan
Output regulation problem for a class of regular hyperbolic systems
EN
Int. J. Control 89, No. 1, 113-127 (2016).
00352945
2016
j
93C20 35L02 93B52
regular hyperbolic PDE system; state feedback regulator; stabilising feedback gain; error feedback regulator; stabilising output injection gain; Sylvester equation; Riccati equation
Summary: This paper investigates the output regulation problem for a class of regular first-order hyperbolic partial differential equation (PDE) systems. A state feedback and an error feedback regulator are considered to force the output of the hyperbolic PDE plant to track a periodic reference trajectory generated by a neutrally stable exosystem. A new explanation is given to extend the results in the literature to solve the regulation problem associated with the first-order hyperbolic PDE systems. Moreover, in order to provide the closed-loop stability condition for the solvability of the regulator problems, the design of stabilising feedback gain and its dual problem design of stabilising output injection gain are considered in this paper. This paper develops an easy method to obtain an adjustable stabilising feedback gain and stabilising output injection gain with the aid of the operator Riccati equation.