A Unified Algebric Approach to Control Design
A Unified Algebric Approach to Control Design
Stability Analysis for Linear Repetitive Processes
Stability Analysis for Linear Repetitive Processes
On H2 model reduction of bilinear systems
Automatica (Journal of IFAC)
Robust passive control for uncertain time-delay singular systems
IEEE Transactions on Circuits and Systems Part I: Regular Papers
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This paper investigates a Hankel-type model reduction problem for linear repetitive processes. Both differential and discrete cases are considered. For a given stable along the pass process, our attention is focused on the construction of a reduced-order stable along the pass process, which guarantees the corresponding error process to have a specified Hankel-type error performance. The Hankel-type performances are first established for differential and discrete linear repetitive processes, respectively, and the corresponding model reduction problems are solved by using the projection approach. Since these obtained conditions are not expressed in linear matrix inequality (LMI) form, the cone complementary linearization (CCL) method is exploited to cast them into sequential minimization problems subject to LMI constraints, which can be solved efficiently. Three numerical examples are provided to demonstrate the proposed theory.