PID controllers are used in almost 95% of control loops in the most process industry. Since the design of a controller for an industrial system is complex due to the presence of model uncertainties, nonlinearities, an...
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ISBN:
(纸本)9783030304652;9783030304645
PID controllers are used in almost 95% of control loops in the most process industry. Since the design of a controller for an industrial system is complex due to the presence of model uncertainties, nonlinearities, and disturbances, these controllers are usually not tuned optimally and performance is compromised. Robust fixedstructure control is a remedy to the problem, and such a controller design is an optimization problem, characterized by nonlinear multimodal large pursuit space, tight constraints, and expensive objective function. The classic optimization method is not appropriate here as a solution set is to be computed. Evolutionary algorithm, a robust search, and optimization method can handle this problem. Covariance Matrix Adapted Evolutionary strategy is successfully utilised to design robust PID controller for Sodium chlorate process. The performance in terms Integral Square Error (ISE) for set point tracking, robust stability and disturbance attenuation was found satisfactory.
The optimization of a fixed-structurecontroller is in general computationally intractable, posing a challenge to control system engineers. This paper introduces a novel technique for designing such control techniques...
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The optimization of a fixed-structurecontroller is in general computationally intractable, posing a challenge to control system engineers. This paper introduces a novel technique for designing such control techniques by formulating it as a nonlinear non-convex constrained problem. A novel PSO algorithm, namely the Augmented Lagrangian Particle Swarm Optimization with Fractional Order Velocity (ALPSOFV), is proposed for improving the convergence rate. The structure of the controller is selectable and, therefore, the Fractional Order Proportional Integral Derivative (FOPID) algorithm is chosen in the scope of the study. The results for three test examples show the good performance of the ALPSOFV. (C) 2019 Elsevier B.V. All rights reserved.
A practical approach to the design of controllers with fixedstructure (low order, decentralized etc.) that can be tuned via H-2 or H-infinity performance measures is proposed. The design problem is split into a conve...
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ISBN:
(纸本)0780383354
A practical approach to the design of controllers with fixedstructure (low order, decentralized etc.) that can be tuned via H-2 or H-infinity performance measures is proposed. The design problem is split into a convex subproblem that can involve a large number of decision variables, and a nonconvex subproblem with a small number of decision variables. The former problem can be solved with efficient Riccati solvers, while the latter one is solved using genetic algorithms. The proposed method is flexible and can be used for different H-2 or H-infinity performance or robustness measures. In this paper low-order robust H-2 design and low-order decentralized mixed sensitivity design are presented. Application of these methods to a benchmark problem and a large scale industrial problem demonstrates that the approach is numerically efficient and leads to performance comparable or superior to that of previously published methods.
In this paper an iterative technique based on a combination of Riccati solver and Genetic Algorithm (GA) is applied to the problem of designing a decentralized robust low-order controller for a High Voltage DC power l...
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In this paper an iterative technique based on a combination of Riccati solver and Genetic Algorithm (GA) is applied to the problem of designing a decentralized robust low-order controller for a High Voltage DC power link. The design problem is split into a convex subproblem which can be solved efficiently by a Ricatti solver, and a non-convex subproblem which is solved using GA. For a 35th order model of the HVDC link considered here a first order controller that achieves robustness over a wide range of operating conditions is designed by imposing a H ∞ norm constraint. An additional pole region constraint is used to trade nominal performance against robustness.
This dissertation deals with two open problems in control theory. The first problem concerns the synthesis of fixed structure controllers for Linear Time Invariant (LTI) systems. The problem of synthesizing fixed stru...
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This dissertation deals with two open problems in control theory. The first problem concerns the synthesis of fixed structure controllers for Linear Time Invariant (LTI) systems. The problem of synthesizing fixedstructure/order controllers has practical importance when simplicity, hardware limitations, or reliability in the implementation of a controller dictates a low order of stabilization. A new method is proposed to simplify the calculation of the set of fixedstructure stabilizing controllers for any given plant. The method makes use of computational algebraic geometry techniques and sign-definite decomposition method. Although designing a stabilizing controller of a fixedstructure is important, in many practical applications it is also desirable to control the transient response of the closed loop system. This dissertation proposes a novel approach to approximate the set of stabilizing Proportional-Integral-Derivative (PID) controllers guaranteeing transient response specifications. Such desirable set of PID controllers can be constructed upon an application of Widder's theorem and Markov-Lukacs representation of non-negative polynomials. The second problem explored in this dissertation handles the design and control of linear systems without requiring the knowledge of the mathematical model of the system and directly from a small set of measurements, processed appropriately. The traditional approach to deal with the analysis and control of complex systems has been to describe them mathematically with sets of algebraic or differential equations. The objective of the proposed approach is to determine the design variables directly from a small set of measurements. In particular, it will be shown that the functional dependency of any system variable on any set of system design parameters can be determined by a small number of measurements. Once the functional dependency is obtained, it can be used to extract the values of the design parameters.
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