Journal of Electrical & Electronic Systems

Xiaoping Liu

Publications

• Commentary
  Linear Quadratic Regulator for Impulse Uncontrollable Singular Systems
  Author(s): Xiaoping Liu and Yufu JiaXiaoping Liu and Yufu Jia
  
  This paper investigates the linear quadratic regulator problem for singular systems which may contain some impulse uncontrollable modes. By transforming to the Weierstrass form, impulse controllable and uncontrollable subsystems can be separated. Sufficient conditions are proposed, under which solutions to both state and costate equations for the linear quadratic regulator problem are impulse-free. The necessary conditions for the minimization of the quadratic cost function are converted to a two-point boundary value problem, which can be solved by either computing its back-time state transition matrix or solving a Riccati equation. Two examples are provided to illustrate the main results... Read More»
  DOI: 10.4172/2332-0796.1000207

  Abstract PDF