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This paper is concerned with explicit descriptions of the optimal closed-loop system for H2 control problems in the case of single-input and single-output linear systems. We focus on two typical H2 optimal control problems, the minimal energy problem and optimal tracking control problem, and show that the transfer functions of the optimal closed-loop systems can be described in specific terms of the...
Given a nominal plant, together with a fixed neighborhood of this plant, the problem of robust stabilization is to find a controller that stabilizes all plants in that neighborhood (in an appropriate sense). If a controller achieves this design objective, we say that it robustly stabilizes the nominal plant. In this paper we formulate the robust stabilization problem in a behavioral framework, with...
The objective of the standard parts optimal control problem is to find a number, m, of control inputs to a given input-output system that can be used in different combinations to achieve a certain number, n, of output objectives and to do this in such a way that a specified figure-of-merit measuring the average cost of control is minimized. The problem is especially interesting when m is significantly...
This paper deals with tracking performance of linear time-invariant discrete time SISO systems. In the existing results, the fundamental limitations are analyzed based on the knowledge of reference signals such as the step, the trigonometrical signals and so on. Our purpose is to find the closed form expressions of the tracking performance limitation for the general class of reference inputs. Moreover,...
In this paper a new, adaptive cooperative form of robust distributed model predictive control is introduced. In the new algorithm, for linear, dynamically-decoupled subsystems in the presence of bounded disturbances, an optimizing subsystem determines the existence of paths in a graph representing currently-active coupling constraints. Where such paths exists, cooperation is promoted by the local...
The paper investigates the problem of designing a digital controller with guaranteed performance for a continuous-time plant with time-delay. The proposed design technique is based on the parametric transfer function concept and numerical optimization.
This paper is concerned with the solution of linear higher order rectangular differential matrix systems which are appeared in many applications of optimal and filtering control theory. The classical power series method is employed to obtain the analytic solution of linear higher order rectangular (singular) differential matrix equations. In the present paper, the authors provide some preliminary...
This paper sets forth the stage for one of the most important issues in SoS: the control problem. The challenge for any control engineer and designer is to stabilize the SoS based on not only its own sensors on board, but just as critically important based on data transmissions from other sensors and actuators. For that reason the control design needs to be flexible to account for lack or shortfall...
This paper proposes a design method of discrete-time reset control systems with the reset time instants prespecified. With a base linear system designed conventionally, the discrete-time reset law design aims at improving the system transient responses. The design method can guarantee the system stability and the solution of the controller is obtained by solving Riccati equations. The proposed reset...
This paper deals with stabilization of interconnected discrete-time nonlinear systems under given, arbitrary information constraints on the controller structure. As a prominent example, the considered information constraints on the controller structure include decentralized and distributed control over a given communication network. The main contribution of this paper is twofold. Firstly, we introduce...
In this paper, an enhanced particle swarm optimization algorithm with more information and other PSO variants were applied to optimal tuning of Proportional-Integral-Derivative (PID) parameters for a typical PID control system. The digital simulation results show the enhanced PSO algorithm has stable convergence characteristic and good computational ability, and it is an effective method for optimal...
Although server technology provides a means to support a wide range of online services and applications, their ad-hoc configuration poses significant challenges to the performance, availability and economical costs of applications. In this paper, we examine the impact of server configuration on the central tradeoff between service performance and availability. First, we present a server model as a...
This paper sheds light on the concepts of decision making and optimal control in the supervisory control of hybrid systems. Here, ldquodecision-makingrdquo is defined as ldquopriority-setting,rdquo meaning that we construct a priority mapping that is allowed to be defined from both policies and the system's physical limitations. At the run time, the supervisory control of any hybrid system results...
This paper proposes two new optimization algorithms for the optimal design of PI controllers dedicated to a class of second-order plants with integral component and variable parameters. The sensitivity analysis with respect to the parametric variations of the controlled plant is supported by the derivation of sensitivity models. Several objective functions are defined based on the augmentation of...
An output-feedback Hinfin preview controller is proposed. The controller predicts disturbance responses by considering the disturbance derivatives and generates the optimal control input that minimizes the Hinfin norm of the closed-loop transfer function. By assuming a disturbance response without a future control input, a design problem is formulated as a standard Hinfin problem. The disturbance...
We show how a control system on a smooth manifold can be embedded into a Euclidean space, and discuss merits of such embeddings in mechanics, optimal control and geometric control.
Incipient fault detection and isolation (FDI) in the current sensors of a controlled induction motor is addressed by an original diagnosis system based exclusively on the three-phase signals model. In this way we avoid a reduction in the performance of the FDI system due to the uncertainty in the machine model. Assuming that the three current signals are measured, the proposed FDI system is made of...
This paper proposes a new control method for a weigh feeder. A weigh feeder has been widely employed in industry because it can dispense powder at a specified rate or amount. The proposed controller is mainly divided into a feed-forward and a feedback compensators. In order to obtain a simple controller, the former gives a steady-state control input designed using a nominal plant gain, and the latter...
Networked control system (NCS) is a newly emerging topic within control theory community. In this paper we pay particular attention to the problem concerning data rate constraint. Motivated by many successful results in related research, we study the lowest data rate needed to stabilize an LTI system when the controller structure is limited to be a static state feedback and the channel is modeled...
This paper presents an optimal reset control (ORC) method for a dual-stage actuator servo system (DSA) in hard disk drives (HDDs). Track seeking performance is investigated and simulation results show that the propose method is able to achieve short settling time and low overshoot.
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