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A convex-optimization approach to H2/H∞ Model-order Reduction (MoR) of continuous-time Linear Time-Invariant (LTI) systems is presented. The new numerical algorithm provides more information about the performance of the reduced-order model and generalizes the previous designs based upon H2 and H∞ norm minimization. Connection between the optimal projection methods and the proposed H2/H∞ algorithm...
The paper present an architecture multi-controller based in conventional PID controller and robust Fractional PID controller (FOPID) using PSO algorithm to optimize the parameters of PID and FOPID, and improved the robustness. This approach applied to control robotics wrist (Robot RX-90 Staübli). A brief overview of the process with a non-linear and linear mathematical modeling of the process. Principle...
This paper studies the performance of a fractional-order proportional integral derivative (FOPID) controller designed for parabolic distributed solar collectors. The control problem addressed in concentrated solar collectors aims at forcing the produced heat to follow a desired reference despite the unevenly varying solar irradiance. In addition to the unpredictable variations of the energy source,...
When performing multi-objective optimization of analog integrated circuits (ICs) by applying evolutionary algorithms (EAs), one challenge is the proper selection of both the design variables and search spaces. This work proposes the use of symbolic sensitivity analysis to identify the most relevant design parameters in an optimization process. Therefore, search spaces are assigned to be larger to...
This paper deals with the robust control problem for linear systems with both gain and time constants variations under fractional order PIλDμ controller. A robustness specification to the parameters variations is proposed. For those systems with more than one uncertain time constant, the robustness specifications are analyzed and simplified. To minimize the phase offset nearby the crossover frequency,...
The problem of external disturbances rejection is considered for control systems of marine ships steered by autopilot under the action of sea wave disturbances and bias terms. The essence of the problem is to find mathematical models of adjustable corrective items for control law with a special structure, to provide desirable values of correspondent functionals, which characterize accuracy and intensity...
A framework to identify the transfer function matrix of an unstable system is proposed. The individual elements of the transfer function matrix are considered to be first order plus time delay process. The proposed method involves comparing the process response of the model to step input with that of the actual process and using least square optimization technique to identify the parameters. In order...
This paper presents a comparison of some well-known global optimization techniques' performance. The purpose of the comparison is to find the best algorithm for optimization. Parameters optimization was conducted in order to achieve better results in PID fractional controller. The proposed techniques are Genetic algorithm (GA), particle swarm optimization (PSO), culture algorithm (CA) and artificial...
Model order reduction has been one of the most challenging topics in the past years. Conventional mathematical methods have been used to obtain a reduced order model of high order complex models. In this paper, genetic algorithm (GA) which is one of the artificial intelligence algorithms is used to approximate high-order transfer functions (TFs) as lower-order TFs. Genetic algorithm is considered...
This paper shows a PI with phase-lead controller design using convex-concave optimization. The phase-lead term is added to reduce a high frequency measurement noise effect. By fixing all parameters of the phase-lead part, the optimization program searches the remain parameters subject to robustness constraints. The optimization constraints are functions in a frequency domain. The design problem can...
Stability analysis in non-integer order systems is a complex issue and requires detailed analysis. This paper aims to show the stability region for fourth order system with noninteger PDÄ controller. Such system was analysed with use of Ddecomposition method. Moreover, we presented stability analysis for implementation in optimization procedure based on system in of form of fractional differential...
For the purpose of research, modelling and simulation of control plants, linear models are commonly used. There are many methods of creating linear models of plant dynamics. Artificial intelligence methods are used in many areas of science and technology. There are also several known applications of artificial intelligence in automatic controllers. The authors have developed a method of linear modelling...
A new optimization framework is proposed to operate a large, and price-maker generation firm in a performance-based regulation market. It takes into account various design factors such as the details about the underlying performance-based regulation market rules and Automatic Generation Control (AGC) dispatch mechanisms, as well as the system dynamics of generators, e.g., for the case of a steam-turbine...
In this paper we consider the problem of set-membership identification of multiple-inputs multiple-outputs (MIMO) linear models when both input and output measurements are affected by bounded additive noise. First a general formulation is proposed which allows the user to take into account possible a-priori information about the structure of the MIMO model to be identified. Then, the problem is formulated...
This paper solves the problem of designing of regulator for control of complex unstable object. Calculation was done by numerical optimization using control structure comprising bypass channel. The idea of the bypass channel develops the idea of Smith predictor, but, unlike a predictor, its model can be calculated by the more flexible algorithms. Furthermore, this method does not require the presence...
The fractional order PID controller has better performance than the traditional PID controller. However, according to the design criteria, the best parameters of fractional order controller exist in nonlinear transcendental equations which are difficult to be solved. In this paper, we adopt artificial bee colony (ABC) algorithm to optimize the solutions of equations. Considering that the standard...
Cantilever beams have an important role in day to day life in bridges, towers, buildings and aircraft wings, making active vibration suppression a highly researched field. The purpose of this paper is to detail the design of fractional order PID controllers for smart beams. A novel tuning procedure is proposed based on solving a set of nonlinear complex equations that directly aim at reducing the...
This paper focused on design and application of Two-Degree-of-Freedom — Fractional Order PID (2-DOF-FOPID) Controller to solve the automatic generation control (AGC) problem of hydrothermal system as well as multi-area system comprising of different sources such as hydro, thermal and gas units. Appropriate generation rate constraints (GRC) is considered for each unit. The performance of proposed 2-DOF-FOPID...
The solution of control for inverted pendulum is a challenging problem and many control techniques have been tested on this bench mark problem to test the efficacy of the designed control law. In this note an attempt has been made to stabilize a linear dynamics of inverted pendulum by designing an optimal PID controller that guarantees the given time-domain performance specifications. To accomplish...
A PI controller is one of the most widespread controller types used in industry. If the structure and order of a controller is restricted (e.g. a PI controller as is the case in this paper), this may cause worse output variance as compared to the minimum variance (MV) benchmark. Finding the best achievable performance boundary for this controller is a challenging task as it leads to a non-convex optimization...
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