Approximate Linear Quadratic Regulator Problem and Its Application to Optimal Control in Discrete-Time LTI Systems

  • Kazuyoshi Mori
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 110)


It is considered to approximately solve an linear quadratic (LQ) regulator problem in the case of discrete-time LTI systems. It leaves parameters as symbols in the evaluation function. The notion of the approximate LQ regulator problem is introduced. Also a computation method to solve the problem is proposed. A numerical example of the approximate LQ regulator problem is also presented, which is applied to an inverted pendulum on a cart.


Linear system theory Optimal control Discrete-time LTI system Symbolic computation 


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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.School of Computer Science and EngineeringThe University of AizuAizu-WakamatsuJapan

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