This paper proposes a solution to the sampled-data regulation problem for feedback linearizable n-link robotic manipulators. The prime focus is on the development and stability analysis of the proposed control scheme in the presence of model uncertainties and external disturbances. A major constraint is the availability of sampled measurements of output signal. This leads to designing an impulsive observer for feedback linearization. The discrete-time control input is mapped into its continuous-time counterpart using a realizable reconstruction filter (RRF). The underlying control scheme relies on the sampled-data regulator theory based on the discrete-time equivalence of the plant and RRF modeled as impulsive system. This method leads to controller/observer design in discrete time. The working of the entire scheme is dependent on the stability of impulsive observer; hence a Lyapunov-based stability analysis is also included to ensure the stability of a closed-loop system. The working of the proposed scheme along with a comparison with conventional solution is presented, when applied to the control of a 3-degree-of-freedom PUMA 560 robot.
The recent discovery of the Ledenyov digital waves in the economies of scale and scope led to an origination of considerable scientific interest in the modeling of new types of the discrete-time digital signals generators for the business cycles generation in the macroeconomics. Article aims: 1) to model the discrete-time digital signals generators for the business cycles generation in the macroeconomics, 2) to demonstrate the technical differences between the new model of the discrete-time digital signals generator and the existing models of the continuous-time (continuous wave) signals generators in the macroeconomics; 3) to accurately analyze the spectrum of discrete-time digital signals in the economies of scale and scope, 4) to improve the Ledenyov discrete time digital signals theory to precisely characterize the discrete time digital signals in the macroeconomics, 5) to better develop the complex software program to forecast the business cycles, going from the spectral analysis of the discrete time digital signals and the continuous time signals in the nonlinear dynamic economic system over the selected time period. The developed MicroSA software program intends: 1) to perform the spectrum analysis of the discrete-time digital signals and the continuous-time signals in the macroeconomics; 2) to make the computer modeling and to forecast the business cycles, going from the spectral analysis of the discrete time signals and the continuous time signals in the macroeconomics. The MicroSA can be used by a) the central banks with the purpose to make the strategic decisions on the monetary policies, financial stability policies, and b) the commercial/investment banks with the aim to make the business decisions on the minimum capital allocation, countercyclical capital buffer creation, and capital investments.
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