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RECENT RESEARCH IN LINEAR MULTIVARIABLE CONTROL THEORY BASED ON THE STABLE FACTORIZATION APPROACH NOW MAKES IT POSSIBLE TO DEVELOP A SYSTEMATIC APPROACH TO THE DISIGN OF ROBUST DECENTRALIZED CONTROL SYSTEMS.
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RECENT RESEARCH IN LINEAR MULTIVARIABLE CONTROL THEORY BASED ON THE STABLE FACTORIZATION APPROACH NOW MAKES IT POSSIBLE TO DEVELOP A SYSTEMATIC APPROACH TO THE DISIGN OF ROBUST DECENTRALIZED CONTROL SYSTEMS. ESPECALLY, CURRENTLY AVAILABLE RESULTS INCLUDE, (1) CONDI TIONS TO DETERMINE WHEN THERE EXISTS A STABILIZING CONTROLLER THAT IS ROBUST AGAINST A SPECIFIED AMOUNT OF UNCERTAINITY, AND (2) A PARAMETRIZATION OF ALL DECENTRALIZED STABILIZING CONTROLLERS FOR A TWO-CHANNEL SYSTEM. IN PHASE I OF THE PROPOSED RESEARCH, WE WILL EXPLOIT THESE RESULTS TO MAKE A START ON THE DESIGN OF ROBUST DECENTRALIZED CONTROLLERS BY TACKLING THE FOLLOWING PROBLEMS: 1) NUMERICAL COMPUTATION OF OPTIMALLY ROBUST CONTROLLERS 2) DECENTRALIZED STABILIZATION OF AN N-CHANNEL SYSTEM 3) ROBUST DECENTRALIZED CONTROL OF A TWO-CHANNEL SYSTEM 4) OPTIMAL DECENTRALIZED FILTERING FOR A TWO-CHANNEL SYSTEM THE RESOLUTION OF THESE PROBLEMS WILL PROVIDE A FIRM FOUNDATION FOR PHASE II, AT THE END OF WHICH WE WILL BE IN A POSITION TO MARKET A COMMERCIAL CAD SOFTWARE PACKAGE.
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