The paper revisits and renew the concept of Polytopic Tensor Product (TP) Model based control analysis and synthesis by generalizing the use of TP-structured variables in the definite conditions derived from the appli...
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The paper revisits and renew the concept of Polytopic Tensor Product (TP) Model based control analysis and synthesis by generalizing the use of TP-structured variables in the definite conditions derived from the applied control criteria. For TP forms that can depend on multivariate parameter sets (optionally with two times or larger multiplicities), a compact TP formalism is proposed where the multiplicity vector describes the structure. By setting the multiplicities, the parameter dependencies can be neglected or considered with arbitrary high complexity in the variables of controller-candidate, Lyapunov-function candidate and slack variables as well. The paper points out that the definite conditions on the structures of these variables results in definite conditions on Polytopic TP forms enabling a recursive method to reformulate them into Linear Matrix Inequalities (LMIs), Bilinear Matrix Inequalities (BMIs), etc. according to the design method in consideration. The application of the novel concept is shown through H-infinity state feedback design for Linear Parameter Varying (LPV) systems. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
We consider control design for positive compartmental systems in which each compartment's outflow rate is described by a concave function of the amount of material in the compartment. We address the problem of det...
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We consider control design for positive compartmental systems in which each compartment's outflow rate is described by a concave function of the amount of material in the compartment. We address the problem of determining the routing of material between compartments to satisfy time-varying state constraints while ensuring that material reaches its intended destination over a finite time horizon. We give sufficient conditions for the existence of a time-varying state-dependent routing strategy which ensures that the closed-loop system satisfies basic network properties of positivity, conservation and interconnection while ensuring that capacity constraints are satisfied, when possible, or adjusted if a solution cannot be found. These conditions are formulated as a linear programming problem. Instances of this linear programming problem can be solved iteratively to generate a solution to the finite horizon routing problem. Results are given for the application of this control design method to an example problem. Published by Elsevier Ltd.
This paper deals with the problem of robust output synchronization for heterogeneous multi-agent systems. First, a new synchronization approach is presented to synchronize the outputs of heterogeneous agents. Based on...
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This paper deals with the problem of robust output synchronization for heterogeneous multi-agent systems. First, a new synchronization approach is presented to synchronize the outputs of heterogeneous agents. Based on noninteracting control techniques, a method is derived for homogenizing the input-output behavior of every agent. Hence, applying the same reference input signal to every agent leads to synchronization. Furthermore, a strategy for increasing the robustness of the synchronization process against exogenous disturbances is presented, which leads to a structurally constrained optimization problem. However, by a convenient reformulation of the problem, well established tools from robust control theory can be used. Moreover, it is shown that this procedure allows to separate the robustness issue from the synchronization task. The effectiveness of the approach is illustrated by a robust output synchronization example for a heterogeneous aircraft fleet.
This paper investigates some limitations of the nonblocking property when used for supervisor synthesis in discrete event systems. It is shown that there are cases where synthesis with the nonblocking property gives u...
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This paper investigates some limitations of the nonblocking property when used for supervisor synthesis in discrete event systems. It is shown that there are cases where synthesis with the nonblocking property gives undesired results. To address such cases, the paper introduces progressive events as a means to specify more precisely how a synthesised supervisor should complete its tasks. The nonblocking property is modified to take progressive events into account, and appropriate methods for verification and synthesis are proposed. Experiments show that progressive events can be used in the analysis of industrial-scale systems, and can expose issues that remain undetected by standard nonblocking verification.
We study routing control in dynamic continuous-time networks in which each node is described by a linear internally positive system. We derive a linear programming (LP) characterization of optimal constant routing pol...
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We study routing control in dynamic continuous-time networks in which each node is described by a linear internally positive system. We derive a linear programming (LP) characterization of optimal constant routing policies for the infinite-horizon routing problem under weighted l(1) constraints and objective. For finite horizon problems with piecewise constant state constraints, we provide sufficient feasibility conditions, which also take the form of an LP problem. We illustrate the solution for the finite horizon problem in an application example. Published by Elsevier Ltd
Wave energy converters (WECs) based on oscillating bodies or oscillating water columns would earn huge benefits from a time-domain control on a wave by wave basis. Such a control would allow efficient energy extractio...
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Wave energy converters (WECs) based on oscillating bodies or oscillating water columns would earn huge benefits from a time-domain control on a wave by wave basis. Such a control would allow efficient energy extraction over a wider range of frequencies than what could possibly be achieved when no real-time control is adopted, thus increasing the economical attractiveness of the WECs. Almost every control strategy that showed some potential, however, suffers from the problem that future knowledge of the incident wave elevation, or wave excitation force, is required. In this paper a general control framework for oscillating WECs is presented and a methodology to understand and quantify the wave excitation force prediction requirements, along with the achievable prediction accuracy, is discussed. The two features are compared against each other and linked to the dynamic characteristics of a device. Along with the qualitative discussion, the methodology is applied to some heaving cylinders when reactive control and linear passive control are applied, under different sea conditions.
This paper presents the conceptual foundations relevant to the proper design and implementation of a software tool to support a broker or a business integrator in the context of a Virtual Organisation (VO) for partner...
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This paper provides a design method of fixed-structure robust controllers satisfying multiple H ∞ norm specifications by using a sort of randomized algorithms. First, a new tool to perform general constrained optimiz...
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This paper provides a design method of fixed-structure robust controllers satisfying multiple H ∞ norm specifications by using a sort of randomized algorithms. First, a new tool to perform general constrained optimization is developed which does not need any gradient or derivative of the objective function. This tool is based on PSO (particle swarm optimization), which attracts a lot of attention recently in the evolutionary computation area due to its empirical evidence of its superiority in solving various non-convex problems. Second, it is shown how to design a fixed-structurecontroller satisfying given multiple H ∞ specifications by using the developed optimization tool. Third, its effectiveness is evaluated through various numerical examples, because it is difficult to guarantee the performance of the proposed method theoretically due to a probabilistic nature of the PSO. The simulation results demonstrate its effectiveness clearly.
A design approach is presented for constrained optimization of feed-forward signal using closed loop impulse response. The approach is flexible and is possible to integrate easily with the existing controller structur...
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A design approach is presented for constrained optimization of feed-forward signal using closed loop impulse response. The approach is flexible and is possible to integrate easily with the existing controllerstructure. It is demonstrated that the approach does not need high order and precise description of the closed loop system.
In this paper we consider control signal properties, such as maximum magnitude and activity, as well as system robustness measures. We derive an ideal controller and control signal for exponential disturbance rejectio...
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In this paper we consider control signal properties, such as maximum magnitude and activity, as well as system robustness measures. We derive an ideal controller and control signal for exponential disturbance rejection for a first order process with time delay. For the resulting closed-loop system, it is shown analytically that there are strong interconnections between robustness measures and control signal properties regarding load disturbance attenuation. The results imply that popular controller design methods implicitly take control signal properties into consideration.
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