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Conventional single phase inverter offers a square wave output which when applied to electrical appliances may damage the later reducing its efficiency and life as this inverter output waveform is not sinusoidal and contains lower and higher order harmonics in addition to fundamental. On the other hand Selective Harmonic Elimination with Pulse Width Modulation (SHE-PWM) offers a fine control of the...
In this paper, an analytical approach is proposed for solving a special set of transcendental equations, which are often encountered for eliminating harmonics in converters. Typically, numerical solutions are used for solving the transcendental equations. The disadvantage of numerical approach is overhead in computational effort as it requires a PC with expensive software and solution time can also...
This paper presents a new idea to solve the selective harmonic elimination (SHE) equations with non equal dc sources using Hybrid Newton Raphson Method (HNRM). This technique is a combination of genetic algorithm (GA) and Newton Raphson Method (NRM). The HNRM technique effectively eliminates the lower order harmonics from the output voltage of the converter. In this paper, it has been also shown that,...
This paper shows a method for optimization of CHB inverter's harmonic performance under Selective Harmonic Elimination Pulse Width Modulation (SHEPWM) control. The optimization techniques are used for solving the set of non-linear transcendental trigonometrical equations. SHE is implemented to reduce the THD value. The set of non-linear equation is minimized by Big Bang-Big Crunch optimization technique...
Electrical energy generation by using Photovoltaic system is becoming popular day by day. This paper presents a control topology for multilevel inverters used in standalone PV system. A hybrid technique is used to optimize the switching angles of thirteen levels single-phase cascaded multilevel inverter for selective harmonics elimination. The nonlinear transcendental equations problem is solved by...
A generalized blind equalization scheme, insensitive to phase shifts introduced by the channel and small carrier phase offsets, is derived. Multiple constraints optimization techniques have been used in the development of the proposed algorithm. This scheme is an improved version of a dual mode modified constant modulus algorithm (MCMA). It uses the principle of minimal disturbance to induce robustness...
The exciting research concerning the description, analysis, simulation, controller design, and deployment of hybrid systems is reviewed, and perspectives for future developments are discussed. The review attempts to relate precursors to this research, practical motivations, and actual developments. The discussion follows a similar pattern in an attempt to identify topics for future research. Practical...
This paper presents a novel output-based, discrete-time, sliding mode controller design methodology Output based controllers with and without disturbance estimation are presented. First several existing discrete-time reaching conditions are analyzed and compared. From these methods the linear reaching law is selected to form the basis for the output-based controller design.
A failure-prone manufacturing system with random part processing time and random product demand is considered. The optimal control policy is derived by formulating the process as a discrete-state Markovian decision process using uniformization technique. It is shown that the optimal policy is of a switching-curve control. Neural-network is used to get the function of such switch-curve.
This series of two papers deals with the spatial optimization of the heat exchanger temperature profile of an exothermic tubular reactor under the assumption of steady state and plug flow characteristics. The minimum principle of Pontryagin (optimal control theory) is applied in a straightforward, analytical sense. To enable a trade-off between process performance and heat loss a combined cost criterion...
In recent papers, the authors proposed a novel control approach based on the use of a Switching Linear Internal Model (SLIM) to cope with asymptotic tracking of a significant class of periodic references for “real world” applications, while guaranteeing good robustness properties with respect to disturbances. In the path toward a final assessment of this methodology, the problem of observing the state...
In many applications of motion control, problems associated with imprecisely measured or changing load (mass or moment of inertia) constitute a serious obstacle in the design of satisfactory controlling systems, more and more often compelling the introduction of various forms of uncertainties to engineering solutions. This paper deals with the time-optimal control for mechanical systems with uncertain...
This paper proposes two synthesis methods for controlling power converters. The first one is a stabilizing method in which a unique Lyapunov function is introduced and the second one is a new predictive control approach, which uses model predictive control to track a given optimal stable limit cycle. Moreover, the two methods can include the Discontinuous Conduction Mode (DCM) in the formulation....
This paper deals with the stability of a class of Markov Jump Linear Systems characterized by piecewise-constant transition rates and system dynamics. These systems are called Switching Markov Jump Linear Systems. Mean square stability analysis is carried out by studying the time evolution of the second-order moment of the state. A sufficient condition guaranteeing mean square stability under constraints...
This paper describes a hybrid control scheme to swing-up a pendulum mounted on a cart (cart-pole system) or on another pendulum (pendubot system). Switches between equilibria of the actuated link are used to swing-up the free link. It is argued that this hybrid design is robust and versatile, considerably simplifies the closed-loop analysis, and is well-suited for performance optimization.
This paper considers the impulsive-smooth behavior of a switched system interconnection described by the first-order kernel representation. The switched interconnection consists of past and future trajectories which are switched at a certain instant by an external switching mechanism. We derive necessary and sufficient conditions for the concatenability of the past and future behaviors both in the...
The sufficient conditions of exponential mean-square stability for nonlinear continuous time stochastic string hybrid systems are established. The excitations are assumed to be parametric white noises and the switching rule has the form of a right continuous Markov chain. The detailed calculations are given for linear systems.
In this paper, a sliding mode implementation of a Proportional Integral Derivative PID controller is proposed. The objective of the controller designed is to control a DC-DC buck converter to track a desired set point voltage. The complexity of this controller arises from the fact that the only information available to the controller is the measured error. The buck converter inductance and capacitance...
In this paper, a general method for model order reduction of switched linear dynamical systems is presented. The proposed technique is based on the generalized gramian framework for model reduction. It is shown that different classical reduction methods can be developed into generalized gramian framework. Balanced reduction within specified frequency bound is developed within this framework. In order...
This paper attempts to provide a tutorial mode presentation of a time-optimal transfer problem in the geometric framework. The control objective is to change both the orientation and position of a ball sandwiched between two plates in minimum time. The lower plate is fixed and the upper plate can be actuated in two lateral directions. In the geometric framework, the problem of time-optimal reorientation...
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