Generalized Interconnected Descriptor Systems: A Synthesis of Decentralized Output Control

Decentralized composite control feedback for a class of interconnected generalized descriptor systems has been investigated and solved by exploiting similarity, symmetry and uncertainty of plant system model. Each sub-system is assumed to have certain structural uncertainty and so do the nonlinear interconnections. The synthesized decentralized control strategy employs a set of three controllers, coupled in parallel: a linear state feedback and two nonlinear ones involving state-dependent switching. This decentralized strategy enforces asymptotic tracking a reference signal while causing no impulse effect. An illustrative example and simulations demonstrate the feasibility and performance effectiveness in stable operating equilibrium.