This is the first part of a paper that provides an overview of some applications of control theory to computing systems. With the advent of cloud computing and more affordable computing infrastructures, computing engi...
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This is the first part of a paper that provides an overview of some applications of control theory to computing systems. With the advent of cloud computing and more affordable computing infrastructures, computing engineers are looking for control theory to provide rigorous tools to analyze and design computing systems and algorithms. On the other hand, controlsystems have greatly benefited from the advent of distributed and affordable computing infrastructure. In part I we will focus on control applications at the data center level.
This is the second part of a paper that provides an overview of some applications of control theory to computing systems. With the advent of cloud computing and more affordable computing infrastructures, computing eng...
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This is the second part of a paper that provides an overview of some applications of control theory to computing systems. With the advent of cloud computing and more affordable computing infrastructures, computing engineers are looking for control theory to provide rigorous tools to analyze and design computing systems and algorithms. On the other hand, controlsystems have greatly benefited from the advent of distributed and affordable computing infrastructure. In the second part of the paper, we will focus on control applications at the server level, specifically CPU utilization control.
We summarize some recent results on the dynamic stability of wholesale electricity markets. We discuss how to construct control-theoretic market analysis frameworks using concepts of market efficiency, Lyapunov stabil...
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We summarize some recent results on the dynamic stability of wholesale electricity markets. We discuss how to construct control-theoretic market analysis frameworks using concepts of market efficiency, Lyapunov stability, and predictive control. Such frameworks can be used to design, analyze, and monitor the stability and robustness properties of different market designs. In particular, we discuss how short forecast horizons, incomplete gaming, and physical ramping constraints can give rise to stability issues.
In this paper, we consider the problem of designing optimal smoothing vectorized spline curves with equality and/or inequality constraints. The constraints include cross-coupled constraints among the element curves. T...
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In this paper, we consider the problem of designing optimal smoothing vectorized spline curves with equality and/or inequality constraints. The constraints include cross-coupled constraints among the element curves. The splines are constituted employing normalized uniform B-splines as the basis functions. Then various types of constraints are formulated as linear function of the so-called control points, and the problem is reduced to convex quadratic programming problem. The performance is examined by some numerical examples.
We propose a method for on-line parameter estimation and control of dynamical systems with uncertainties. The unknown initial conditions and parameters of the system are estimated within a Bayesian framework as the da...
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We propose a method for on-line parameter estimation and control of dynamical systems with uncertainties. The unknown initial conditions and parameters of the system are estimated within a Bayesian framework as the data are provided sequentially while the underlying unknown state of the system is estimated through its polynomial chaos expansion. The state dependent feedback control is computed by the minimization of the expectation of an appropriate cost function. This work is motivated by the biological problem of controlling the glucose-insulin system in mice.
This paper deals with the connectivity preservation of multi-agent systems with state-dependent error in distance measurement. It is assumed that upper bounds on the measurement error and also its rate of change as a ...
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This paper deals with the connectivity preservation of multi-agent systems with state-dependent error in distance measurement. It is assumed that upper bounds on the measurement error and also its rate of change as a function of distance are available. A general class of distributed control strategies is then proposed for the distance-dependent connectivity preservation of the agents in the network. It is shown that if two neighboring agents are initially located at a distance closer than the required connectivity range, they are guaranteed to remain in the connectivity range at all times. The effectiveness of the proposed control strategies in consensus and containment problems is demonstrated by simulation.
This paper presents a new robust stabilization method for a class of uncertain nonlinear systems[UNS] via piecewise linear differential inclusions[PWLDI]. We propose several effective numerical methods for computing t...
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This paper presents a new robust stabilization method for a class of uncertain nonlinear systems[UNS] via piecewise linear differential inclusions[PWLDI]. We propose several effective numerical methods for computing the PWLDI to cover the UNS, then present controller design method of obtained PWLDI via piecewise quadratic Lyapunov function to realize robust stability. Because of the inclusion relationship between the obtained PWLDI and original UNS, the obtained controller is also effective to stabilize original UNS. Finally, We demonstrate the proposed design method through a numerical example.
This paper proposes a local and - in contrast to existing synthesis approaches - non-iterative and performance-oriented design method for linear, full-order, mismatch-based anti-windup compensators which is applicable...
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This paper proposes a local and - in contrast to existing synthesis approaches - non-iterative and performance-oriented design method for linear, full-order, mismatch-based anti-windup compensators which is applicable to controlsystems with unstable plants. Non-iterative means that the anti-windup compensator is found by solving a convex optimization problem. Hence, initial guesses or trial-and-error loops can be avoided leading to a significant simplification of the design process. Performance-oriented means that the L 2 gain of a system characterizing the degradation from the unconstrained linear performance is minimized. Two examples are considered to demonstrate the new design method.
We consider an optimal control problem for networked, linear systems, where the loop is closed via a lossy network with a lossy acknowledgment mechanism. So, the data send from the controller to the actuators might be...
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We consider an optimal control problem for networked, linear systems, where the loop is closed via a lossy network with a lossy acknowledgment mechanism. So, the data send from the controller to the actuators might be lost. In these cases often specific strategies called input scheme are used to choose backup inputs. In this work we employ an extended class of such strategies. We derive the necessary optimality conditions for linear controllers. Moreover, we present heuristic methods as well as bilinear matrix inequalities to determine these controllers in a suboptimal way. Examples illustrate that these extended input schemes can improve the performance.
This paper considers the problem of designing a decentralized PI observer with prescribed degree of convergence for a set of interconnected systems. Under the assumption of linear interactions, we provide a direct des...
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This paper considers the problem of designing a decentralized PI observer with prescribed degree of convergence for a set of interconnected systems. Under the assumption of linear interactions, we provide a direct design procedure for the PI observer which can effectively be used in disturbance estimation and observer-based controldesign enhancing the robustness properties. In this connection we also extend the results to the case of designing controllers that attenuate the disturbance while preserving the stability. It is shown that the design can be formulated in terms of LMI which efficiently solve the problem. The design process requires a suitable modification of a decentralized PI observer design comprised of a set of local PI observers for the decoupled subsystems. The modification ensures a desired convergence rate for the overall PI observer and generally involves the use of additional inputs, which account for the interconnection effects, into the local PI observers.
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