Approximate Linear Quadratic Regulator Problem and Its Application to Optimal Control in Discrete-Time LTI Systems
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.
KeywordsLinear system theory Optimal control Discrete-time LTI system Symbolic computation
- 3.Mori K (2011) Approximate riccati equation and its application to optimal control in discrete-time systems. In: Proceedings of the international multiconference of engineers and computer scientists 2011 (IMECS 2011), Hong Kong, 16–18 March. Lecture notes in engineering and computer science, pp 808–812Google Scholar
- 4.Mori K, Abe K (1997) Approximate spectral factorization and its application to optimal control—case of discrete-time siso with 1 parameter—. In: Proceedings of the second asian control conference (ASCC ’97), pp 421–424Google Scholar
- 5.Ogata K (1994) Discrete-time control systems, 2nd edn. Prentice Hall, Upper Saddle River, NJGoogle Scholar
- 6.Sasaki T, Suzuki M, Kolár̆ M, Sasaki M (1991) Approximate factorization of multivariate polynomials and absolute irreducibility testing. Jpn J Ind Appl Math 8(3):357–375Google Scholar