Authors:Prebo Clifford Jackreece Abstract: In this paper, we considered finite time stability of a class of linear control systems. By using suitable matrix measures and Coppel’s inequality a bound for the solution of the linear control system with multiple delays in the state is determined. A sufficient delay dependent conditions for finite time stability of linear control system with delay are derived. Key words: Linear systems, control systems, stability, time delay, Coppel’s inequality Issue No:Vol. 6

Authors:Somer M. Nacy, Shahad T. Ibraheem Abstract: This paper deals with the motion control of the end effector of a 2-DOF linkage type underactuated robotic manipulator. A simulation procedure is implemented for the motion control in which actuation and braking actions were applied on the two joints of the manipulator subsequently, hence moving the end effector in a point to point manner through the desired path. From the results obtained, it was found that the percentage error in trajectory mainly does not exceed (1%). In some specific points on the trajectory, error reached its maximum value which was found to be (3.64%). In general, these error values are almost acceptable, although an effort will be achieved in future work to reduce this error and improve the design. Keywords: Underactuated Manipulators, Motion Control, Simulation. Issue No:Vol. 6

Authors:Ayad R. Khudair, Kareemah M. Chaid Abstract: In this paper, we introduce a new equivalent system to the higher order Caputo fractional system (CFS) . This equivalent system has multiple order Caputo fractional derivatives (CFDs). These CFDs are lying between zero and one. As well as, we find the fundamental solution for linear CFS with multiple order CFDs. Also, we introduce new criteria of studying the stability (asymptotic stability) of the linear CFS with multiple order CFDs. These criteria can be applied in three cases: the first, all CFDs is lying between zero and one. The second, all CFDs are lying between one and two. Finally, some of CFDs are lying between zero and one, and the rest of these derivatives are lying between one and two. The criteria are depending on the position of eigenvalues of the matrix system in the complex plane. These criteria are considered as a generalized of the classical criteria which is used to study the stability of linear first ODEs. Also, these criteria are considered as generalized of the criteria which used to study the stability same order CFS in case when all CFDs lying between zero and one, also in case when all CFDs lying between one and two. Several examples are given to show the behavior of the solution near the equilibrium point. Keywords: Caputo fractional derivatives; Linear Caputo fractional system ; Fundamental solution Stability analysis. Issue No:Vol. 6

Authors:Radhi Ali Zaboon, Sabeeh Lafta Jasim Abstract: In this paper, the solution of some (robust) control problem of non-linear semi-explicit descriptor uncertain systems without matching condition by defining an optimal control approach is considered. This approach has been developed in the sense that, the solution of an equivalent optimal control problem is the solution to the given descriptor one without matching condition. A relation between the robust control problem and its equivalent optimal control problem has been discussed with theoretical justifications and illustration. Issue No:Vol. 6

Authors:Fadhel S. Fadhel, Ahmed A. Yousif Abstract: Stabilizability and solvability of the two – dimensional nonlinear hyperbolic partial differential equation has experienced a growing popularity and of major interest of robust control theory. Therefore, in this paper, the backstepping transformation approach based on discretization of the space variable will be used to study the Stabilizability and solvability of nonlinear two dimensional hyperbolic partial differential equations by transforming the partial differential equation with unknown boundary control in to system of nonlinear ordinary differential equations and then using Lyapunov function method to stabilize and evaluate the control function, while the solution is obtained using Adem-bashforth method.Keywords: Backstepping method, hyperbolic partial differential equation, Stabilization of boundary control problems, Lyapunov function. Issue No:Vol. 6

Authors:Radhi.Ali Zaboon, Shimaa Mohammed Dawood Abstract: In this paper, the finite time stable concept for a forced control system is modefied. A feedback controller has been designed with some necessary condition so that the solvability and the exponential finite time interval stablizability are guaranteed with computational algorithm and illustration. Keywords: consistent initial condition, Drazin inverse, linear descriptor systems Issue No:Vol. 6

Authors:Dipesh Kumar Karmakar, N.G.S Raju Abstract: The Hydro power is recognized as the promising and widely used renewable source of energy for power generation in large scale, it is gaining popularity due to rising rate of depletion as well as increasing cost of fossil fuels. The Hydro power is very economical in case of run-of-the-river scheme, and environmental friendly keeping in mind the harmful effect of fossil fuels on the climate change. This paper deals with neural network (NN) based least mean square (LMS) algorithm known as adaptive linear element (ADALINE) algorithm, with PID-VPI controller for isolated asynchronous generator (IAG) with integrated electronic load controller (IELC) in small hydro generation feeding three-phase four-wire nonlinear load with neutral-current compensation. The integrated electronic load controller (IELC) is based on zigzag/three single-phase transformers and a six-leg insulated-gate bipolar-transistor-based current-controlled voltage-source converter, a chopper switch, and an auxiliary load on its dc bus. The integrated electronic load controller (IELC) utilizes Adaptive linear element (Adaline) to extract the positive-sequence fundamental-frequency component of load current to obtain load balancing in integrated manner and to control the voltage and frequency of the isolated asynchronous generator (IAG). Non-linear loads are considered for critical evaluation of system, as they have the capability to introduce harmonics that are deleterious for any system. The propound system is modeled and simulated in MATLAB environment to demonstrate the effectiveness of the proposed integrated electronic load controller for the control of isolated asynchronous generator. Keywords:Neural Network (NN), Least Mean Square (LMS), Adaptive Linear Element (ADALINE) Proportional integral derivative controller (PID), Vector proportional integral controller (VPI), integrated electronic load controller (IELC), isolated asynchronous generator (IAG), small hydro generation, voltage-source converter (VSC), voltage and frequency control. Issue No:Vol. 6

Authors:Radhi Ali Zaboon, Sabeeh Lafta Jasim Abstract: In this paper, the solution of the robust control problem of some non-linear semi-explicit descriptor uncertain systems having matching condition and linear algebraic equation with rank deficient of the algebraic coefficient matrix is considered. An optimal control approach have been developed in the sense that, the solution of an equivalent optimal control problem to the uncertain nonlinear descriptor system, is the solution to the given descriptor one with matching condition. A relation between the robust control problem and its equivalent optimal control problem have been developed with theorems and illustration. Issue No:Vol. 6