In this paper, the uncertainty property is represented by Z-number as the coefficients and variables of the fuzzy equation. This modification for the fuzzy equation is suitable for nonlinear system modeling with uncertain parameters. Here, we use fuzzy equations as the models for the uncertain nonlinear systems. The modeling of the uncertain nonlinear systems is to find the coefficients of the fuzzy equation. However, it is very difficult to obtain Z-number coefficients of the fuzzy equations.
Taking into consideration the modeling case at par with uncertain nonlinear systems, the implementation of neural network technique is contributed in the complex way of dealing the appropriate coefficients of the fuzzy equations. We use the neural network method to approximate Z-number coefficients of the fuzzy equations.
A survey of the methodologies associated with the modeling and control of uncertain nonlinear systems has been given due importance in this paper. The basic criteria that highlights the work is relied on the various patterns of techniques incorporated for the solutions of fuzzy equations that corresponds to fuzzy controllability subject. The solutions which are generated by these equations are considered to be the controllers. Currently, numerical techniques have come out as superior techniques in order to solve these types of problems. The implementation of neural networks technique is contributed in the complex way of dealing the appropriate coefficients and solutions of the fuzzy systems.
Uncertain nonlinear systems can be modeled with fuzzy differential equations (FDEs) and the solutions of these equations are applied to analyze many engineering problems. However, it is very difficult to obtain solutions of FDEs. In this book chapter, the solutions of FDEs are approximated by utilizing the fuzzy Sumudu transform (FST) method. Here, the uncertainties are in the sense of fuzzy numbers and Z-numbers. Important theorems are laid down to illustrate the properties of FST. This new technique is compared with Average Euler method and Max-Min Euler method. The theoretical analysis and simulation results show that the FST method is effective in estimating the solutions of FDEs.
In order to automate the operations involved in the industries, the implementation of sensors, actuators and logic controllers has become an utter necessity. In this paper, the stress has been laid on the safety of the working personnel by implementing the technique of automation using automated devices and Programmable Logic Controller (PLC). In Oil refineries, we have analyzed the specific zone of an oil collection station and found the necessity of implementing a safer working environment for the working personnel. An oil collecting station is an area in an oil refinery where oil in various forms after refining is stored in large oil tanks. It is from here that the stocks of oil are dispatched to various locations. The oil collecting stations contains large cylindrical tanks which are used to store oil. Oil in various form are sent from the digging zone after refining to the oil collecting station through long pipelines. Taking into account these aspects, safety system have been designed and developed in order to secure that area. In any industry the safety of the working personnel is of first priority. The productivity and efficiency of any organization depends on the efficiency of the working personnel. Hence it is very important to provide a better working environment for the working personnel. So, this project is a trend towards the better productivity and work output of any organization which has been made possible with the implementation of automation.
Involvement of automation in manufacturing technology plays an important role in enhancing the quality of process and products. An automated device which replaces manual involvement is an extraordinary contribution to the mankind. In this paper, stress is laid on the designing of an automated drilling system so to perform drilling operation automatically in efficient way. So for this purpose, initially the design of the drilling system setup is crafted using PRO-E software based on the design considerations. Then the actuation and control part is taken care with the help of actuating elements like DC motor, mechanical wheels and by programming it effectively using PLC. Finally the prototype model is developed in order to facilitate drilling operation with ease and accuracy. The drilling operation is performed by the combination of the movements of the drilling system and the base on which workpiece is kept for drill operations.In this paper innovative design and efficient programming have been merge to generate a device which will significantly contribute to the field of production.
This survey paper deals with the structural health monitoring systems on the basis of methodologies involving intelligent techniques. The intelligent techniques are the most popular tools for damage identification in terms of high accuracy, reliable nature and the involvement of low cost. In this critical survey, a thorough analysis of various intelligent techniques is carried out considering the cases involved in civil structures. The importance and utilization of various intelligent tools to be mention as the concept of fuzzy logic, the technique of genetic algorithm, the methodology of neural network techniques, as well as the approaches of hybrid methods for the monitoring of the structural health of civil structures are illustrated in a sequential manner.
The technique of mitigating chatter phenomenon in an effective manner is an important issue from the viewpoint of superior quality machining process with quality production. In this paper, an innovative solution to control chatter vibration actively in the milling process is presented. The mathematical modelling associated with the milling technique is presented in the primary phase of the paper. In this paper, an innovative technique of discrete time sliding mode control(DSMC) is blended with Type 2 fuzzy logic system. Superior mitigation of chatter is the outcome of developed active controller. The Lyapunov scheme is implemented to validate the stability criteria of the proposed controller. The embedded nonlinearity in the cutting forces and damper friction are compensated in an effective manner by the utilization of Type-2 fuzzy technique. The vibration attenuation ability of DSMC-Type-2 fuzzy (DSMC-T2) is compared with the Discrete time PID (D-PID) and DSMC-Type-1 fuzzy (DSMC-T1) for validating the effectiveness of the controller. Finally, the numerical analysis is carried out to validate that DSMC-T2 is superior to D-PID and DSMC-T1 in the minimization of the milling chatter.
Automatic fault detection system is an important aspect of industrial process and can contribute significantly for minimizing equipment downtime thus makingit a cost effective process. In this paper, an innovative model-based faultdetection (FD) system in combination with interval type-2 (IT2) Takagi-Sugeno(T-S) fuzzy system is developed for the detection of the faults in the drillbit of the drilling system. The proposed methodology validates the stabilityof the fault detection system in the presence of system uncertainties. Numerical analysis is carried out to prove the effectiveness of the theoretical approach. The effective methodology can be implemented in real time for detecting faults during downhole drilling operations.
Chatter is an obstacle for achieving high-quality machining process and high production rate in industries. Chatter is an unstable self-exciting phenomenon that leads to tool wear, poor surface finish, and downgrade the milling operations. A novel active control strategy to attenuate the chatter vibration is proposed. PD/PID controllers in combination with Type-2 Fuzzy logic were utilized as a control strategy. The main control actions were generated by PD/PID controllers, whereas the Type-2 Fuzzy logic system was used to compensate the involved nonlinearities. The Lyapunov stability analysis was utilized to validate the stability of Fuzzy PD/PID controllers. The theoretical concepts and results are proved using numerical simulations. Although PD/PID controllers have been used for chatter control in machining process, the importance of stability along with the implementation of Type-2 Fuzzy logic system for nonlinearity compensation was the main contribution. In addition, active control using an Active Vibration Damper placed in an effective position is entirely a new approach with promising practical results.
In order to achieve a high-quality machining process with superior productivity, it is very important to tackle the phenomenon of chatter in an effective manner. The problems like tool wear and improper surface finish affect the milling process and are caused by self-induced vibration termed as chatter. A strategy to control chatter vibration actively in the milling process is presented. The mathematical modeling of the process is carried out initially. In this paper, an innovative technique of discrete time sliding mode control (DSMC) is blended with the type-2 fuzzy logic system. The proposed active controller results in a significantly high mitigation of vibration. The DSMC is linked to the time-varying gain which is an innovative approach to mitigate chattering. The theorem is laid down which validates that the system states are bounded in the case of DSMC-type-2 fuzzy. Stability analysis is carried out using Lyapunov candidate. The nonlinearities linked with the cutting forces and damper friction are handled effectively by using the type-2 fuzzy logic system. The performance of the DSMC-type-2 fuzzy concept is compared with the discrete time PID (D-PID) and discrete time sliding mode control for validating the effectiveness of the controller. The better performance of DSMC-type-2 fuzzy over D-PID and DSMC-T1 fuzzy in the minimization of milling chatter are validated by a numerical analysis approach.
Proportional-derivative (PD) and proportional-integral-derivative (PID) controllers are popular control algorithms in industrial applications, especially in structural vibration control. In this paper, the designs of two dampers, namely the horizontal actuator and torsional actuator, are combined for the lateral and torsional vibrations of the structure. The standard PD and PID controllers are utilized for active vibration control. The sufficient conditions for asymptotic stability of these controllers are validated by utilizing the Lyapunov stability theorem. An active vibration control system with two floors equipped with a horizontal actuator and a torsional actuator is installed to carry out the experimental analysis. The experimental results show that bidirectional active control has been achieved.
This paper provides an overview of building structure modeling and control under bidirectional seismic waves. It focuses on different types of bidirectional control devices, control strategies, and bidirectional sensors used in structural control systems. This paper also highlights the various issues like system identification techniques, the time-delay in the system, estimation of velocity and position from acceleration signals, and optimal placement of the sensors and control devices.
Proportional-derivative (PD) is a popular algorithm in the field of building structure vibration control, but there are infrequent broadcasted theory results of PD controller in connection to structural vibration control applications. In order to maintain minimum regulation error, a PD control requires sufficiently high proportional and derivative gains. The effect of these diminishes the transient performances of the vibration control. In this paper, a straight forward combination of PD control with fuzzy compensation is laid down. We state comprehensive sufficient conditions for choosing the PD gains. The stability theories are verified through numerical simulations and a two-story building prototype. The extracted results validates our theory analysis.
This paper provides an overview of structural health monitoring systems based on the intelligent methodology that can be implemented on the buildings that has undergone damage under the impact of bidirectional seismic forces.
Proportional-derivative (PD) is highly favored algorithms in terms of industrial applications. Although, there are infrequent broadcasted theory results of PD controller in connection to structural vibration control applications. In this paper, we analyze the stability of the active vibration control system for both the linear model and nonlinear model of building structures under bidirectional seismic excitation taking into consideration lateral-torsional vibrations. We state comprehensive sufficient conditions for choosing the PD gains. The stability theories are verified through numerical simulations and a two-storey building prototype. The extracted results validates our theory analysis.
Proportional-integral-derivative (PID) controller is popular algorithm in structure vibration control. In order to maintain minimum regulation error, the PID control require big proportional and derivative gains. The control performances are not satisfied because of the big uncertainties in the buildings. In this paper, the type-2 fuzzy system is applied to compensate the unknown uncertainties, and is combined with the PID control. We prove the stability of these fuzzy PID controllers. The sufficient conditions can be used for choosing the gains of PID. The theory results are verified by a two-story building prototype. The experimental results validates our analysis.
In this paper, a novel discrete-time sliding mode control is proposed in order to attenuate structural vibration due to earthquake forces. The analysis is based on the lateral-torsional vibration under the bidirectional waves. The proposed fuzzy modeling based sliding mode control can reduce chattering due to its time-varying gain. In the modeling equation of the structural system, the uncertainty exists in terms of sti¤ness, damping forces and earthquake. Fuzzy logic model is used to identify and compensate the uncertainty associated with the modeling equation. We prove that the closed-loop system is uniformly stable using Lyapunov stability analysis. The experimental result reveals that discrete-time sliding mode controller offers significant vibration attenuation with active mass damper and torsional actuator.
In the area of vibration control associated with structures, proportional-integral-derivative (PID) is considered to be an effective controller for the vibration attenuation scheme. Although the researchers prefer the use of PID controller but due to huge uncertainties in the structure, the control actions are not good. This paper depicts the application of combined PID control with Type-1 Fuzzy system for the compensation of the involved uncertainties. The main role of the Type-1 Fuzzy logic model is the identification of the uncertainties in the modeling equation and also to compensate it in an effective way. The methodology of Lyapunov stability criterion is implemented to validate the uniform stability of the closed-loop system. The synergistic combination of active mass damper (AMD), torsional actuator (TA), and Type-1 Fuzzy PID controller resulted in superior vibration attenuation which is validated by the experimental tests.
Proportional-derivative and proportional-integral-derivative (PD/PID) controllers are popular algorithms in structure vibration control. In order to maintain minimum regulation error, the PD/PID control require big proportional and derivative gains. The control performances are not satisfied because of the big uncertainties in the buildings. In this paper, type-2 fuzzy system is applied to compensate the unknown uncertainties, and is combined with the PD/PID control. We prove the stability of these fuzzy PD and PID controllers. The sufficient conditions can be used for choosing the gains of PD/PID. The theory results are verified by a two-storey building prototype. The experimental results validate our analysis.
In terms of vibrations along bidirectional earthquake forces, several problems are faced when modelling and controlling the structure of a building, such as lateral-torsional vibration, uncertainties surrounding the rigidity and the difficulty of estimating damping forces.In this paper, we use a fuzzy logic model to identify and compensate the uncertainty which does not require an exact model of the building structure. To attenuate bidirectional vibration, a novel discrete-time sliding mode control is proposed. This sliding mode control has time-varying gain and is combined with fuzzy sliding mode control in order to reduce the chattering of the sliding mode control. We prove that the closed-loop system is uniformly stable using Lyapunov stability analysis. We compare our fuzzy sliding mode control with the traditional controllers: proportional?integral?derivative and sliding mode control. Experimental results show significant vibration attenuation with our fuzzy sliding mode control and horizontal-torsional actuators. The proposed control system is the most efficient at mitigating bidirectional and torsional vibrations.
This paper provides an overview of building structure modeling and control under bidirectional seismic waves. It focuses on different types of bidirectional control devices, control strategies, and bidirectional sensors used in structural control systems. This paper also highlights the various issues like system identification techniques, the time-delay in the system, estimation of velocity and position from acceleration signals, and optimal placement of the sensors and control devices. The importance of control devices and its applications to minimize bidirectional vibrations has been illustrated. Finally, the applications of structural control systems in real buildings and their performance have been reviewed.
The value of fuzzy designs improves whenever a system cannot be validated in precise mathematical terminologies. In this book chapter, two types of neural networks are applied to obtain the approximate solutions of the fully fuzzy nonlinear system (FFNS). For obtaining the approximate solutions, a superior gradient descent algorithmis proposed in order to train the neural networks. Several examples are illustrated to disclosehigh precision as well as the effectiveness of the proposed methods. The MATLAB environment is utilized to generate the simulations.