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A new class of state dependent parametrizations is introduced which can be used in linear model predictive control (MPC) to approximate the optimal predicted input trajectories and thereby speed up the online optimization. The parametrizations are piecewise constant over the state space and also contain, in addition to previous results, a piecewise linear state feedback term. A new data mining algorithm...
On the characteristics of complex rare-earth extraction process and achieving automatic control technology hardly, while the Rough set theory has the unique merit of having no use for the outside information or the priori knowledge when dealing with ambiguous information and its adoption in Case-Based Reasoning(CBR) might optimize the cases library then draw the corresponding conclusion quickly, the...
In this article, we investigate a new class of control problems called Ensemble Control, a notion coming from the study of complex spin dynamics in Nuclear Magnetic Resonance (NMR) spectroscopy and imaging (MRI). This subject involves controlling a continuum of parameterized dynamical systems with the same open-loop control signal. From a viewpoint of mathematical control theory, this class of problems...
This paper studies the linear quadratic regulation problem for linear discrete time-varying systems with one or multiple delays in control input. This type of input-delay system can be used to model delayed actuation, where the system depends on the input after various (could be more than one) time delays. We provide explicit forms of the finite horizon closed-loop optimal control laws. Numerical...
We consider the control of impulsive systems with independent and identically distributed intervals between jumps. The control action and output measurement are assumed to take place only at jump times. We give necessary and sufficient conditions, in the form of LMIs, for mean square stabilizability and detectability and solve an infinite horizon quadratic optimal control problem, under appropriate...
In this work, we discuss normal forms of necessary conditions of optimality (NCO) for optimal control problems subject to pathwise state constraints and for problems in the calculus of variations with inequality constraints. It is known that standard forms of the NCO may fail to provide information that is useful to identify optimal solutions, namely when the multiplier associated with the objective...
Recently, game theory has been proposed as a tool for cooperative control. Specifically, the interactions of a multi-agent distributed system are modeled as a non-cooperative game where agents are self-interested. In this work, we prove that this approach of non-cooperative control has limitations with respect to engineering multi-agent systems. In particular, we prove that it is not possible to design...
We analyze a few long-standing issues related to the Chebyshev pseudospectral (PS) approximations of nonlinear constrained optimal control problems. The feasibility and consistency of a Chebyshev PS method are demonstrated. We also show that the standard primal-dual closure conditions can be mapped to primal-only closure conditions. The primal-only closure condition facilitates an easy computation...
Existing reachability theory and optimal control theory are applied to a class of nonlinear systems with ellipsoidal initial reachability sets, reflecting information typically provided by industry-standard optimal estimation methods. Analytical expressions for position-and velocity-extrema are developed, yielding necessary conditions for reachability as well as tools for significant reduction in...
We consider a network of control systems connected over a graph. Considering the graph structure as constraints on the set of permissible controllers, we show that such systems are simply constrained by a certain sparsity pattern. We provide conditions for which such systems are well-posed, and, under the appropriate assumptions, we show that such systems are quadratically invariant. This allows for...
For decentralized control problems with quadratically invariant information constraints, the optimal controller may be found efficiently. In this paper, we show that there are systems which are not quadratically invariant but reduce to systems that are. We call the requisite property internal quadratic invariance. We present an associated reduction procedure, and illustrate our method with examples.
Receding horizon control (RHC) or model predictive control (MPC) solves online a finite horizon open-loop optimal control problem repeatedly in an infinite horizon context and provides a suboptimal control solution. It has been widely used in industry. For continuous-time (CT) systems, two categories of RHC have been investigated in literature, namely instantaneous RHC and sampled-data RHC. This paper...
We present an algorithm for an event based approach to the global optimal control of nonlinear systems with coarsely quantized state measurement. The quantized measurements induce regions of the state space and the events represent the change of the system's state from one quantization region to another. We investigate the theoretical properties of the approach and illustrate the performance by a...
This paper is concerned with understanding the connection between the existing Internet congestion control algorithms and the optimal control theory. The available resource allocation controllers are mainly devised to derive the state of the system to a desired equilibrium point and, therefore, they are oblivious to the transient behavior of the closed-loop system. This work aims to investigate what...
In this paper we use bilevel programming to find the maximum difference between a reference controller and a low-complexity controller in terms of the infinity-norm difference of their control laws. A nominal MPC for linear systems with constraints, and a robust MPC for linear systems with bounded additive noise are considered as reference controllers. For possible low-complexity controllers we discuss...
This paper solves the Phasor Measurement Unit (PMU) placement problem by Particle swarm Optimization (PSO). The PSO algorithm is implemented on three bus systems namely the 7, 14, 57 IEEE standard Bus systems. In this paper it has been proved that the placing of Phasor measurement units only at buses with the highest number of incident branches surely doesn't yield the optimal placement of the PMUs...
To complete parallel test for airplane Remote Electronics Unit (REU), the initial problem which should be resolved is the resources allocation. Optimized configuration of test resources will contribute to smoothing the implementation of task scheduling, which in turn improves the efficiency of the test. Close analysis of constraint relations between resources and test tasks, and with global heuristic...
Some unexpected events, such as terrorist attacks and other natural disasters and so on, which have a great influence on the supply chain. This paper constructed a optimal model to coordinate the supply chain, and come to a conclusion that "adjustment" is the optimal strategy.
A queuing system with dual services, i.e., the primary service and the auxiliary service, is considered in the present article. The server has to allocate part of its capacity to process the additional service when the auxiliary service is requested. We show that the possible optimal auxiliary capacity is actually on the convex envelope of the auxiliary cost function. Also, the optimal control policy...
In this paper a control problem for a linear stochastic system driven by a fractional Brownian motion with a cost functional that is quadratic in the state and the control is considered. An optimal control is given explicitly using fractional calculus and the control is shown to depend on the prediction of the fractional Brownian motion as well as the usual linear feedback control for the linear-quadratic...
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