Feedback control problems for distributed parameter systems arise in a variety of physical, chemical, biological, and mechanical systems. This paper exploits the algebraic structure of the system of ordinary different...
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Feedback control problems for distributed parameter systems arise in a variety of physical, chemical, biological, and mechanical systems. This paper exploits the algebraic structure of the system of ordinary differential equations that arise from spatial discretization of the partial differential equation (PDE) to analyze and design feedback controllers that are robust to bounded perturbations in the parameters of the original PDE. As a prototypical problem, this paper investigates the spatial field control of a reaction-diffusion system whose spatial discretization has a state matrix that is circulant symmetric. Structured robust controllers are designed based on internal model control and mixed sensitivity optimization. The controllers are shown to be robust to inaccuracies in the spatial manipulation, even for arbitrarily fine spatial discretizations.
This paper proposes a new tuning method for PI controllers in two-degree-of-freedom (2DOF) structure. In design approach, first order plus dead time (FOPDT) model is used. The aim is to have good set-point response an...
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This paper proposes a new tuning method for PI controllers in two-degree-of-freedom (2DOF) structure. In design approach, first order plus dead time (FOPDT) model is used. The aim is to have good set-point response and disturbance rejection and also maximum robustness to model uncertainties. The tuning strategy is based on using Butterworth rules and genetic algorithm optimization. Simulation results demonstrate the effectiveness and validity of proposed method in coping with conflicting design objectives for a wide variety of processes including minimum phase and non-minimum phase and also integrating processes.
This paper aims to design a robust H ∞ controlsystem against time invariant polytopic uncertainties. In general, such robust control problems are described by parameter dependent bilinear matrix inequality (PDBMI) ...
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This paper aims to design a robust H ∞ controlsystem against time invariant polytopic uncertainties. In general, such robust control problems are described by parameter dependent bilinear matrix inequality (PDBMI) problems which are not tractable numerically and there are few efficient methods for solving them. In this paper, we propose an iterative approach to the robust H ∞ controller synthesis problems, which constructs a sequence of infeasible controllers. The feature of our approach is to be able to use any controller variables which may not be a robust stabilizing controller as an initial point. The efficiency of our approach is shown by a numerical example.
A major roadblock in taking full advantage of the recent exponential growth in data collection and actuation capabilities stems from the curse of dimensionality. Simply put, existing techniques are ill-equipped to dea...
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A major roadblock in taking full advantage of the recent exponential growth in data collection and actuation capabilities stems from the curse of dimensionality. Simply put, existing techniques are ill-equipped to deal with the resulting volume of data. The goal of this paper is to show how the use of simple dynamical systems concepts can lead to tractable, computationally efficient algorithms for extracting information sparsely encoded in extremely large data sets. In addition, as shown here, this approach leads to non-entropic information measures, better suited than the classical, entropy-based information theoretic measure, to problems where the information is by nature dynamic.
In order to investigate the influence of gravity gradiometer instrument (GGI), gyroscope, and accelerator on navigation precision, simulation program of gravity gradient aided inertial navigation system is established...
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The paper introduces a new version of the Multi-Parametric Toolbox (MPT), which allows model predictive control (MPC) problems to be formulated in an intuitive and user-friendly fashion. In addition to control synthes...
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The paper introduces a new version of the Multi-Parametric Toolbox (MPT), which allows model predictive control (MPC) problems to be formulated in an intuitive and user-friendly fashion. In addition to control synthesis, the toolbox can also be employed for stability analysis, verification and simulation of MPC-based strategies. The toolbox is also capable of converting MPC controllers into real-time executable code which can be easily deployed to typical hardware control platforms. The most notable feature of the new version is its ability to formulate and solve complex MPC problems involving non-trivial requirements, like logic relations, move blocking, or contraction constraints.
This paper introduces PSOPT, an open source optimal control solver written in C++. PSOPT uses pseudospectral and local discretizations, sparse nonlinear programming, automatic differentiation, and it incorporates auto...
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This paper introduces PSOPT, an open source optimal control solver written in C++. PSOPT uses pseudospectral and local discretizations, sparse nonlinear programming, automatic differentiation, and it incorporates automatic scaling and mesh refinement facilities. The software is able to solve complex optimal control problems including multiple phases, delayed differential equations, nonlinear path constraints, interior point constraints, integral constraints, and free initial and/or final times. The software does not require any non-free platform to run, not even the operating system, as it is able to run under Linux. Additionally, the software generates plots as well as LATEX code so that its results can easily be included in publications. An illustrative example is provided.
In this paper, we discuss a Pareto strategy implemented via local state feedback for a class of weakly coupled large-scale linear time-invariant (LTI) discrete-time stochastic systems with state- and control-dependent...
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In this paper, we discuss a Pareto strategy implemented via local state feedback for a class of weakly coupled large-scale linear time-invariant (LTI) discrete-time stochastic systems with state- and control-dependent noise. The asymptotic structure along with the uniqueness and positive semidefiniteness of the solutions of cross-coupled stochastic algebraic Riccati equations (CSAREs) is newly established via the Newton-Kantorovich theorem. The main contribution of this study is the proposal of a parameter-independent local state feedback Pareto strategy. Finally, in order to demonstrate the effectiveness of the proposed design method, a numerical example is provided for practical aircraft control problems.
In this paper, a computational approach for controller design for polynomial systems with input constraints is proposed. The design is formulated as a convex optimization problem and capable of dealing with asymmetric...
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In this paper, a computational approach for controller design for polynomial systems with input constraints is proposed. The design is formulated as a convex optimization problem and capable of dealing with asymmetric input constraints. The idea of the method is to combine the recently introduced notion of virtual inputs and the notion of feedback passivity to obtain an optimization problem with polynomial constraints. The optimization problem is relaxed using the method of sum of squares which finally results in an LMI problem. The resulting state feedback controllers are non-polynomial. The approach contains some conservatism arising when formulating the design as a convex optimization problem. The introduction of slack variables and a postprocessing step reduces this conservatism. The applicability of the method is demonstrated by a controller design for a jet engine compressor.
We evaluate the ability of our parameter optimization method that was newly developed by using differential elimination, to estimate kinetic parameter values with a high degree of accuracy. For this purpose, we perfor...
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We evaluate the ability of our parameter optimization method that was newly developed by using differential elimination, to estimate kinetic parameter values with a high degree of accuracy. For this purpose, we performed a simulation study by using the objective function with and without the new constraints by differential elimination: parameters in a model of linear equations, under the assumption that only one molecule in the model can be monitored with and without the noise, was estimated by using genetic algorithm (GA). In particular, the ability was tested for the simulation data with and without noise. As a result, the introduction of new constraints was dramatically effective: the GA with new constraints could estimate successfully parameter values in the simulated model against the noisy data, with high degree of accuracy, in comparison with the degree by conventional GA without the constraints.
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