New approaches for observer design in linear matrix second order systems

Addresses the issue of designing observers for linear matrix second order systems in the matrix second order framework. Several important reasons are presented to justify the need for this approach. The advantages of the second order observer are explained and contrasted with those of the typical first order observer. The conditions of existence and design methodologies are presented to synthesize the observer gains by taking various assumptions on available measurements into consideration. The concept of direct matrix second order framework design is new and attractive, especially for observer based controllers