Computationally Efficient Functional Observer for LTI System based on A Multirate Output Sampling Algorithm

This paper proposes a technique for computing a vector linear functional of the system states of a linear time invariant (LTI) system. The concept of multirate output observations has been used to design the observer. The paper also proves that the complete state observability of a system is lot a necessary condition for the existence of a functional observer. The proposed technique reduces the computational time and complexity of the hardware and software of the observer system considerably due to static structure of observer as well as involvement of reduced dimension matrices in computation of the functional. The proposed technique has been validated using numerical examples.