Abstract
The main objective of this paper is to formulate and resolve a number of inverse optimal control problems for linear quadratic (LQ) regulators subject to nonlinear time-varying perturbations and decentralized information structure constraints. As a by-product, we will establish standard robustness properties of LQ regulators for broad classes of nonlinear plants. In particular, it is shown when a decentralized LQ control of interconnected systems is optimal and can tolerate a wide range of nonlinear effects in the control and interconnection structure.
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