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Discretized quadratic optimal control for continuous-time two-dimensional systems

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3 Author(s)
Tsai, J.S.-H. ; Dept. of Electr. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan ; Li, J.S. ; Leang-san Shieh

In this paper, discretized quadratic optimal control for continuous-time two-dimensional (2D) systems is newly proposed. It introduces a new state vector (a new virtual control input) to directly convert the original continuous-time 2D quadratic cost function into a decoupled discretized form. As a result, a new virtual discrete-time 2D model with the new virtual control input is constructed to indirectly find the desired discretized quadratic optimal regulator for the continuous-time 2D system. The recently developed dynamic programming in discrete-time 1D descriptor form is utilized to determine the desired discretized quadratic optimal regulator. This method provides a novel approach for discretized quadratic optimal control of continuous-time 2D systems. An illustrative example is presented to demonstrate the effectiveness of the proposed procedure

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Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:49 ,  Issue: 1 )