By a switched system, we mean a hybrid dynamical system consisting of a family of continuous-time subsystems and a rule that orchestrates the switching between them. The article surveys developments in three basic problems regarding stability and design of switched systems. These problems are: stability for arbitrary switching sequences, stability for certain useful classes of switching sequences, and construction of stabilizing switching sequences. We also provide motivation for studying these problems by discussing how they arise in connection with various questions of interest in control theory and applications.

Basic problems in stability and design of switched systems

This book, written by two major figures in adaptive control, provides a wealth of material for researchers, practitioners, and students. While some researchers in adaptive control may note the absence of a particular topic, the book‘s scope represents a high-gain instrument. It can be used by designers of control systems to enhance their work through the information on many new theoretical developments, and can be used by mathematical control theory specialists to adapt their research to practical needs. The book is strongly recommended to anyone interested in adaptive control.

Adaptive Control

System Identification I

Formation and control of optimal trajectory in human multijoint arm movement : minimum torque-change model

The aim of this paper is to review the state-of-the-art of Field Programmable Gate Array (FPGA) technologies and their contribution to industrial control applications. Authors start by addressing various research fields which can exploit the advantages of FPGAs. The features of these devices are then presented, followed by their corresponding design tools. To illustrate the benefits of using FPGAs in the case of complex control applications, a sensorless motor controller has been treated. This controller is based on the Extended Kalman Filter. Its development has been made according to a dedicated design methodology, which is also discussed. The use of FPGAs to implement artificial intelligence-based industrial controllers is then briefly reviewed. The final section presents two short case studies of Neural Network control systems designs targeting FPGAs.

https://hal-centralesupelec.archives-ouvertes.fr/hal-01337007/document

FPGAs in Industrial Control Applications

This paper develops a DSP-based velocity controller for a novel piezoelectric wheel system named as the Lateral Elliptical Motion Piezoelectric Wheel. A simplified model of the piezoelectric wheel system is presented. With this model, a DSP-based velocity controller is presented to achieve velocity control. Experimental results demonstrate the performance and efficacy of the 2-D velocity control of the piezoelectric wheel system with the proposed control method.

Controller Design for a Piezoelectric Wheel System

This paper presents a novel adaptive predictive proportional-integral-derivative (PID) control using a new output recurrent fuzzy broad learning system (ORFBLS) for setpoint control of a class of nonlinear discrete-time dynamic systems with time delay. The proposed controller, abbreviated as ORFBLS-APPID, is composed of an ORFBLS identifier for online parameter tuning and estimation, and an adaptive predictive ORFBLS-PID control for accurate setpoint tracking and disturbance rejection. The three-term gains of the PID controller are automatically tuned by an ORFBLS. The set-point tracking of the proposed ORFBLS-APPID control method is well exemplified by conducting simulations for two well-known nonlinear discrete-time dynamic systems with time delay, thus showing its effectiveness and superiority.

Intelligent PID Temperature Control Using Output Recurrent Fuzzy Broad Learning System for Nonlinear Time-Delay Dynamic Systems

This paper addresses the stability properties and stabilization schemes for a class of stochastic hybrid systems. Such systems switch among a finite number of linear singularly perturbed system models with switched behavior governed by a nearly completely decomposable finite state Markov chain. The stability properties of the decoupled slow subsystem, fast subsystem, and the overall system are examined. Linear switching stabilization schemes with perfect as well as imperfect Markov chain detectors are developed to stabilize the overall system. Two examples are provided to illustrate the stabilization schemes.

Feedback control of singularly perturbed stochastic hybrid systems

This paper presents a case study of the setpoint tracking performance of the proportional integral derivative (PID) controller on the Single-Input Single-Output (SISO) and Multi-Input Multi-Output (MIMO) nonlinear digital plants under Gaussian white noise and constant load disturbance for the nonlinear time-delay dynamic system. With the objective of getting a better understanding of the nonlinear discrete-time PID controller, we proposed a case study using two SISO and two MIMO digital plants, and then do the numerical simulations along with the addition of Gaussian white noise and load disturbance to simulate the real environment. In this paper, we compare the results of the system working with and without noise and load disturbance. The study result of this paper shows that on the discrete-time digital nonlinear plant, the PID controller is working well to follow the nonlinear setpoint even under heavy noise and load disturbance. The study compared the performance indexes of the controllers in terms of the maximum error, the Root mean square error (RMSE), the Integral square error (ISE), the Integral absolute error (IAE), and the Integral of time-weighted absolute error (ITAE). 

Study on Setpoint Tracking Performance of the PID SISO and MIMO Under Noise and Disturbance for Nonlinear Time-Delay Dynamic Systems

Thispaperpresents atwodegree-of-freedom control methodforachieving bi-level positive airway pressure (Bi-PAP) of an obstructive sleepapnea(OSA)treatment system.After constructing aclosed-loop DC brushless motorwhichisbasedon amicrochip (dsPIC3OF3010) drive together withablowerandan airwaymodule,we developa pressure control systemfor achieving Bi-PAPcontrol. A mathematical modeloftheoverall open-loop systemisestablished basedontheinput-output data anditssystem parameters aresequentially determined using the recursive least-squares (RLS)approach. A twodegree-of-freedom (DOF)controller, including a nonlinear feedforward controller anda feedback proportional-integral-derivative controller (PID controller) withgainscheduling, isproposed tomaintain and followthe desiredbi-level pressuresetpoints. Through experimental results, theproposed control methodisshownuseful andeffective inachieving bi-level airway pressure tracking.

http://ieeexplore.ieee.org/iel5/4459873/4459874/04460146.pdf

Ching-Chih Tsai

Papers

Controller Design for a Piezoelectric Wheel System

Intelligent PID Temperature Control Using Output Recurrent Fuzzy Broad Learning System for Nonlinear Time-Delay Dynamic Systems

Feedback control of singularly perturbed stochastic hybrid systems

Study on Setpoint Tracking Performance of the PID SISO and MIMO Under Noise and Disturbance for Nonlinear Time-Delay Dynamic Systems

Control forBi-level Positive Airwvay Pressure ofanObstructive Sleep Apnea Treatment System