MIMO controller synthesis with integral-action integrity

A controller synthesis method is presented for closed-loop stability and asymptotic tracking of step input references with zero steady-state error. Integral-action is achieved in two design steps starting with any stabilizing controller and adding a PID-controller in a configuration that guarantees robust stability and tracking. The proposed design has integral-action integrity, where closed-loop stability is maintained even when any of the proportional, integral, or derivative terms are removed or the entire PID-controller is limited by a constant gain matrix. The integral constant can be switched off when integral-action is not wanted.     

Lyapunov-based continuous-time nonlinear controller redesign for sampled-data implementation

Given a continuous-time controller and a Lyapunov function that shows global asymptotic stability for the closed-loop system, we provide several results for modification of the controller for sampled-data implementation. The main idea behind this approach is to use a particular structure for the redesigned controller and the main technical result is to show that the Fliess series expansions (in the sampling period T) of the Lyapunov difference for the sampled-data system with the redesigned controller have a very special form that is useful for controller redesign. We present results on controller redesign that achieve two different goals. The first goal is making the lower-order terms (in T) in the series expansion of the Lyapunov difference with the redesigned controller more negative. These control laws are very similar to those obtained from Lyapunov-based redesign of continuous-time systems for robustification of control laws and they often lead to corrections of the well-known “-L_gV” form. The second goal is making the lower-order terms (in T) in the Fliess expansions of the Lyapunov difference for the sampled-data system with the redesigned controller behave as close as possible to the lower-order terms of the Lyapunov difference along solutions of the “ideal” sampled response of the continuous-time system with the original controller. In this case, the controller correction is very different from the first case and it contains appropriate “prediction” terms. The method is very flexible and one may try to achieve other objectives not addressed in this paper or derive similar results under different conditions. Simulation studies verify that redesigned controllers perform better (in an appropriate sense) than the unmodified ones when they are digitally implemented with sufficiently small sampling period T.     

Remarks on tracking method of neural network weight change for adaptive type neural network feedforward feedback controller

A cost function is useful for a confirmation of neural network controller learning performance, but, this confirmation may not be correct for neural networks. Previous papers proposed a tracking method of neural network weight change and simulated it on the application of both learning and adaptive type neural network direct controllers. This paper applies the tracking method to an adaptive type neural network feedforward feedback controller and simulates it. The simulation results confirm that a track of the neural network weight change is separated into two trajectories. They also discuss the relationship between the feedback gain of the feedback controller and the parameter determining the neural network learning speed. This work was presented in part at the 13th International Symposium on Artificial Life and Robotics, Oita, Japan, January 31–February 2, 2008     

Reduction of constraints for controller synthesis based on safe Petri Nets

In this paper, we present an efficient method based on safe Petri Nets to construct a controller. A set of linear constraints allows forbidding the reachability of specific states. The number of these so-called forbidden states, and consequently the number of constraints, are large and lead to a large number of control places. A systematic method to reduce the size and the number of constraints for safe Petri Nets is offered. By using a method based on Petri Net invariants, maximal permissive controllers are determined.     

太阳能电动车最大功率点跟踪模糊控制器设计

采用模糊控制进行太阳能电动车最大功率点的跟踪,根据太阳能电动车能量控制系统的要求,为提高系统的稳态性和鲁棒性设计了适合于太阳能电动车的带修正因子自调整MPPT模糊控制器,在变化的外界环境下,应用Matlab/Simulink仿真软件包对MPPT模糊控制器控制的能源系统进行了仿真研究,结果表明该控制器对环境的变化有较强的自适应能力,具有优越的控制性能,为太阳能电动车的应用提供了参考。     

Adaptive integral higher order sliding mode controller for uncertain systems

This paper proposes an adaptive integral higher order sliding mode (HOSM) controller for uncertain systems. Instead of a regular control input, the derivative of the control input is used in the proposed control law. The discontinuous sign function in the controller is made to act on the time derivative of the control input. The actual control signal obtained by integrating the derivative control signal is smooth and chattering free. The adaptive tuning law used in the proposed controller eliminates the need of prior knowledge about the upper bound of the system uncertainties. Stability and robustness of the proposed controller are proved by using the classical Lyapunov criterion. Simulation results demonstrate the advantages of the proposed control scheme.     

Fractional order [proportional derivative] controller for a class of fractional order systems

Recently, fractional order systems (FOS) have attracted more and more attention in various fields. But the control design techniques available for the FOS suffer from the lack of direct systematic approaches. In this paper, we focus on a given type of simple model of FOS. A fractional order [proportional derivative] (FO-[PD]) controller is proposed for this class of FOS, and a practical and systematic tuning procedure has been developed for the proposed FO-[PD] controller synthesis. The fairness issue in comparing with other controllers such as the traditional integer order PID (IO-PID) controller and the fractional order proportional derivative (FO-PD) controller has been addressed under the same number of design parameters and the same specifications. Fair comparisons of the three controllers (i.e., IO-PID, FO-PD and FO-[PD]) via the simulation tests illustrate that, the IO-PID controller designed may not always be stabilizing to achieve flat-phase specification while both FO-PD and FO-[PD] controllers designed are always stabilizing. Furthermore, the proposed FO-[PD] controller outperforms FO-PD controller for the class of fractional order systems.     

Fast calculation of stabilizing PID controllers

A fast method for the computation of stabilizing PID controllers is proposed. It is shown, in particular, that for a fixed value of the proportional term (K_p) the resulting stabilizing PID compensators form a finite set of disjoint polyhedral sets in the parameter space. A complete characterization and a practical way of finding such stabilizing regions are given. Moreover, the bounds on stabilizing K_p parameters are derived. The method, therefore, has several advantages over recent results, and is very promising for real time and/or robust control applications.     

PID controller design for fractional-order systems with time delays

Classical proper PID controllers are designed for linear time invariant plants whose transfer functions are rational functions of s^α, where 0<α<1, and s is the Laplace transform variable. Effect of input-output time delay on the range of allowable controller parameters is investigated. The allowable PID controller parameters are determined from a small gain type of argument used earlier for finite dimensional plants.     

H_∞ controller synthesis of piecewise discrete time linear systems

This paper presents an H∞ controller design method for pieccwise discrete time linear systems based on a piecewise quadratic Lyapunov function. It is shown that the resulting closed loop system is globally stable with guaranteed H∞ perfomiance and the controller can be obtained by solving a set of bilinear lnatrLx inequalities. It has been shown that piecewise quadratic Lyapunov functions are less conservative than the global qnadnmc Lyapunov functions. A simulation example is also given to illustrate the advantage of the proposed approach.     

一种参数自适应模糊RID控制器的设计与记真

提出了一种参数自适应模糊PID控制器,利用模糊推理的方法实现对PID参数的在线自动鉴定。仿真结果表明,该控制器明显地改善了控制系统的动态性能,并且此方法计算量少,易于实现,便于工程应用。     

Data-driven criteria synthesis of system with two-degree-of-freedom controller

This paper is concerned with the problem of designing a two-degree-of-freedom (2-DOF) controller based on data. Without requiring the specific mathematical model of a plant, the parameters of stabilising controller are calculated directly from data for a linear time-invariant system. In fact, using the traditional unity feedback control, the existing results which focus on calculating stabilising PID or first-order controllers have been reported in the literature. However, there exists certain steady-state error in these approaches if the integrators are not added into the controller. In this paper, a 2-DOF controller is designed to ensure no changes in characteristic polynomial of the closed-loop systems, furthermore, in terms of a pre-specified criterion function, by applying the iterative feedback tuning technique, a local optimal performance is achieved. Especially, for the step input, through tuning the parameters of controller, the steady-state error can be reduced to zero. Finally, a numerical example is given to illustrate the effectiveness of this method.     

基于离散控制器合成的异构多核系统资源管理方法

近年来，随着半导体技术的发展以及应用多样化的需求，异构多核处理器已被广泛应用于高性能嵌入式系统中。这类系统面临的一个主要挑战就是如何在运行时对系统的可用资源（包括处理核等）进行管理分配从而满足系统及其所运行应用在性能和功耗等方面的需求。然而，虽然目前一些主流的资源管理技术在性能和/或功耗优化等方面取得了良好表现，但却经常对所设计的资源管理部件缺乏严格的可靠性保证，因此提出了一种基于离散控制器合成（DCS）的方法来对异构多核系统的在线资源管理策略进行自动、可靠的设计，即将形式化的、能够自动构造管理控制部件的DCS应用到异构多核系统的在线资源管理部件设计中。该方法通过采用形式化模型来描述异构系统的运行行为（例如如何为应用分配处理核），并将在线资源管理问题转换为一个面向某个系统管理目标（例如最大化应用性能）的DCS问题。在此基础上，通过现有的DCS工具对提出的方法进行了示例演示和验证，并对所使用DCS方法的可扩展性进行了评估。     

Globally stable adaptive system design for minimum phase SISO plants with input saturation

Model reference adaptive control problem for single-input single-output time-invariant continuous-time plants with input saturation is considered with main attention focused on global properties. A sufficient condition is presented and a new design method of adaptive control systems is proposed. If a priori information about the plant is available to choose the reference model and the reference input so that the sufficient condition holds, the closed-loop adaptive control system designed by the proposed method can have global stability and globally output tracking property. It is shown that the sufficient condition becomes necessary in some cases.     

Stabilizing and robust fractional order PI controller synthesis for first order plus time delay systems

For all the stable first order plus time delay (FOPTD) systems, a fractional order proportional integral (FOPI) or a traditional integer order proportional integral derivative (IOPID) controller can be designed to fulfill a flat phase constraint and two design specifications simultaneously: gain crossover frequency and phase margin. In this paper, a guideline for choosing two feasible or achievable specifications, and a new FOPI/IOPID controller synthesis are proposed for all the stable FOPTD systems. Using this synthesis scheme, the complete feasible region of two specifications can be obtained and visualized in the plane. With this region as the prior knowledge, all combinations of two specifications can be verified before the controller design. Especially, it is interesting to compare the areas of these two feasible regions for the IOPID and FOPI controllers. This area comparison reveals, for the first time, the potential advantages of one controller over the other in terms of achievable performances. A simulation illustration is presented to show the effectiveness and the performance of the designed FOPI controller compared with the optimized integer order PI controller and the IOPID controller designed following the same synthesis for the FOPI in this paper.     

Feedforward controller synthesis for linear time variant systems

This paper develops a framework for the synthesis of a feedforward controller for both discrete and continuous linear time variant (LTV) systems. The proposed method determines the structure of a feedforward controller, which is cascaded with the known time varying process, so that the ensemble behaves as a linear time invariant (LTI) system, satisfying certain design requirements. The obtained controller is simple, consisting in a parallel bank of first or second order LTI filters, followed by amplifiers with time variable gain. Simulation results are included to illustrate theoretical considerations. Copyright © 2008 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society     

Robustness of quantized control systems with mismatch between coder/decoder initializations

This paper analyzes the stability of linear systems with quantized feedback in the presence of mismatch between the initial conditions at the coder and decoder. Under the assumption of the perfect channel, we show that using the scheme proposed in [Liberzon, D., & Neši?, D. (2007). Input-to-state stabilization of linear systems with quantized state measurements. Institute of Electrical and Electronic Engineers Transaction on Automatic Control, 52, 767-781] it is possible to achieve stability with exponential convergence of linear systems with quantized feedback when the coder and decoder are initialized at different initial conditions.     

基于VHDL语言的硬盘控制器的设计

介绍了当前流行的IDE硬盘的基本结构,接口模式和各寄存器功能和设置的详细描述,以及最常用的PIO传输协议模式下硬盘与主机以扇区为基本单元,进行数据传输的工作原理.从IDE控制器的角度描述了硬盘上电复位,空闲状态,数据输入和输出的工作流程,并对时序进行了说明.以有限状态机为核心,介绍了VHDL软件编制的思想和实现过程.     

Multiobjective controller design handling human preferences

Trends in controller design point to the integration of several objectives to achieve new performances. Moreover, it is easy to set the controller design problem as an optimization problem. Therefore, future improvements are likely to be based on the adequate formulation and resolution of the multiobjective optimization problem. The multiobjective optimization strategy called physical programming provides controller designers with a flexible tool to express design preferences with a ‘physical’ meaning. For each objective (settling time, overshoot, disturbance rejection, etc.) preferences are established through categories such as desirable, tolerable, unacceptable, etc. to which numerical values are assigned. The problem is normalized and converted to a single-objective optimization problem but normally it results in a multimodal problem very difficult to solve. Genetic algorithms provide an adequate solution to this type of problems and open new possibilities in controller design and tuning.