Optimal control of two-dimensional systems
SIAM Journal on Control and Optimization
Bilateral polynomial matrix equations in two indeterminates
Multidimensional Systems and Signal Processing
The design of practically stable nD feedback systems
Automatica (Journal of IFAC)
New results in 2D optimal control theory
Multidimensional Systems and Signal Processing
Stability Analysis for Linear Repetitive Processes
Stability Analysis for Linear Repetitive Processes
Analysis and Control of Multipass Processes
Analysis and Control of Multipass Processes
Control and Disturbance Rejection for Discrete Linear Repetitive Processes
Multidimensional Systems and Signal Processing
Linear quadratic Gaussian control of 2-dimensional systems
Multidimensional Systems and Signal Processing
Brief paper: H2 and mixed H2/H∞ control of two-dimensional systems in Roesser model
Automatica (Journal of IFAC)
The state observer and compensator of a large class of 2-D acceptable singular systems
Multidimensional Systems and Signal Processing
Stability analysis for a class of discrete-time two-dimensional nonlinear systems
Multidimensional Systems and Signal Processing
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Thispaper gives, in view of the feature of practical 2D (2-dimensional)systems, a formulation of the 2D model-following servo problemfor the case where one of the independent variables of the considered2D systems is unbounded and the other one is bounded. That is,to determine a control input such that the outputs of a given2D plant asymptotically track, with tracking error as small aspossible, the (step) response of a given 2D model system as theunbounded variable approaches infinite. It is shown that thisproblem under a specified quadratic performance index can betransformed into a 1D LQR problem, and thus can be solved bythe well-known 1D approaches. The relation between the solvabilitycondition obtained for the equivalent 1D LQR problem and thepractical stabilizability and detectability of the original 2Dplant is clarified. Its application to the design of non-unitmemory linear multipass processes is also shown. Finally, a numericalexample for metal rolling process is given to verify the effectiveness.