STATIC OUTPUT FEEDBACK CONTROL OF STOCHASTIC DECENTRALIZED SINGULARLY PERTURBED SYSTEMS

Walid Alfuhaid, Saud Alghamdi, John Watkins, M. Edwin Sawan

Abstract: Designing a controller for stochastic decentralized interconnected large scale systems usually involves a high degree of complexity and computation ability. Noise, observability, and controllability of all system states, connectivity, and channel bandwidth are other constraints to design procedures for distributed large scale systems. The quasi-steady state model investigated in this paper is a reduced order model of the original system using singular perturbation techniques. This paper results in an optimal control synthesis to design an output feedback controller by standard stochastic control theory techniques using Linear Quadratic Regulator (LQR) approach and minimizing a Hamiltonian function with less complexity and computation requirements. Numerical example is given at the end to demonstrate the efficiency of the proposed method.

Keywords: Decentralized Control, Singular Perturbation, Static Output, and Optimal Control

DOI: https://doi.org/10.15623/ijret.2016.0506001