A sliding mode observer is presented, which is rigorously proven to achieve finite-time state estimation of a dual-parallel underactuated (i.e., single-input multi-output) cart inverted pendulum system in the presence of parametric uncertainty. A salient feature of the proposed sliding mode observer design is that a rigorous analysis is provided, which proves finite-time estimation of the complete system state in the presence of input-multiplicative parametric uncertainty. The performance of the proposed observer design is demonstrated through numerical case studies using both sliding mode control (SMC)- and linear quadratic regulator (LQR)-based closed-loop control systems. The main contribution presented here is the rigorous analysis of the finite-time state estimator under input-multiplicative parametric uncertainty in addition to a comparative numerical study that quantifies the performance improvement that is achieved by formally incorporating the proposed compensator for input-multiplicative parametric uncertainty in the observer. In summary, our results show performance improvements when applied to both SMC- and LQR-based control systems, with results that include a reduction in the root-mean square error of up to 39% in translational regulation control and a reduction of up to 29% in pendulum angular control.

The proposed prototype, to develop and automate and controlling of steam outlet from the boiler unit in the Power Plants using Fuzzy logic-based PLC Controller. The set point of the steam outlet could be decided by the Fuzzy Logic Controller. Automation is a growing technology in almost all fields and It reduces the man power and time complexity in all the way to the thermal power plant also. It reduces the risk of making mistakes and avoid any danger. The details of the load is collected from P.T and then given to the LabVIEW. The data about the load requirements, peak load data requirements ae once fed into the LabVIEW. The LabVIEW sends signals to the PLC and steam outlet is controlled by Servo Motor. The steam outlet set point is measured and controlled by fuzzy logic with the help to PLC controller. Based on alternator current and voltage signal the fuzzy logic will decide the steam outlet set point. If in case the load requirement is higher or lower, the changes in the coal input and the water requirement are changed by means Fuzzy logic control. The steam valve sensor closes or opens the valve by servo motor using the variable frequency drive that is connected to the PLC. Depending upon the load, to the steam turbine. The PLC is connected to the ethernet by means in LabVIEW, in which the data are collected are given to the authorized person in the control room. If in case required the data can be used to store the data in the cloud for future use.

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