Design of PAM and PWM digital controllers for cascaded analog systems

Shieh, Leang-San; Wang, W.M.; Panicker, M.K. Appu

doi:10.1016/s0019-0578(98)00026-3

Cited by 58 publications

(40 citation statements)

References 18 publications

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“…In general, there exist two types of digital controllers: the pulse-amplitude-modulated (PAM) controller and the pulsewidth-modulated (PWM) controller [10,11]. The PAM controller, which produces a series of piecewise-constant continuous pulses having variable amplitude and fixed width, is commonly utilized in digital control of all types.…”

Section: Design Of Pwm Controller From Pam Controllermentioning

confidence: 99%

An Active Fault-Tolerant PWM Tracker for Unknown Nonlinear Stochastic Hybrid Systems: NARMAX Model and OKID-Based State-Space Self-Tuning Control

Wang

Tsai

Chen

et al. 2010

Journal of Control Science and Engineering

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An active fault-tolerant pulse-width-modulated tracker using the nonlinear autoregressive moving average with exogenous inputs model-based state-space self-tuning control is proposed for continuous-time multivariable nonlinear stochastic systems with unknown system parameters, plant noises, measurement noises, and inaccessible system states. Through observer/Kalman filter identification method, a good initial guess of the unknown parameters of the chosen model is obtained so as to reduce the identification process time and enhance the system performances. Besides, by modifying the conventional self-tuning control, a fault-tolerant control scheme is also developed. For the detection of fault occurrence, a quantitative criterion is exploited by comparing the innovation process errors estimated by the Kalman filter estimation algorithm. In addition, the weighting matrix resetting technique is presented by adjusting and resetting the covariance matrix of parameter estimates to improve the parameter estimation for faulty system recovery. The technique can effectively cope with partially abrupt and/or gradual system faults and/or input failures with fault detection.

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Section: Design Of Pwm Controller From Pam Controllermentioning

confidence: 99%

An Active Fault-Tolerant PWM Tracker for Unknown Nonlinear Stochastic Hybrid Systems: NARMAX Model and OKID-Based State-Space Self-Tuning Control

Wang

Tsai

Chen

et al. 2010

Journal of Control Science and Engineering

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“…Various digital redesign techniques for continuous-time delay-free systems have been developed by several authors [12][13][14][15][16][17][18]. In general, the digital redesign techniques for analog systems can be classified into three approaches: The first approach, called the direct digital design approach, is to discretize the plant and then determine a digital controller for the discretized plant [12]; the second approach, called the digital redesign approach [12,13,[15][16][17][18], is to pre-design an analog controller for the analog plant and then carry out the digital redesign for the pre-designed analog controller; and the third approach, called the direct sampled-data approach [14], is to directly design a digital controller for the analog plant, which is still under development [6]. The direct digital design approach has difficulty to control the inter-sampling behaviour of the analog system with a relatively longer sampling period, whereas the digital redesign approach is able to take into consideration the inter-sampling behaviour of the analog plant.…”

Section: Observed-based Linear Quadratic Sub-optimal Digital Trackermentioning

confidence: 99%

The observer‐based linear quadratic sub‐optimal digital tracker for analog systems with input and state delays

Huang

Tsai

Provence

et al. 2003

Optim Control Appl Methods

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SUMMARYThis paper presents a new observer-based sub-optimal digital tracker for the continuous-time system with input and state time delays. We directly convert the continuous-time input-state delayed system into an equivalent discrete-time input-state delayed model and its extended discrete-time delay-free model. In addition, we directly discretize the linear quadratic performance index specified in the continuoustime domain into an equivalent decoupled discrete-time performance index using the newly developed extended delay-free model. As a consequence, the well-developed discrete-time optimal control theory for discrete-time delay-free system can be applied to determine the optimal digital tracker for the continuous-time input-state delayed system. When the states of the continuous-time input-state delayed system are not available for measurements, we develop a sub-optimal digital observer for the original continuous-time input-state delayed system using the state-matching digital redesign technique and the digital-to-analog model conversion technique. As a result, the proposed observer-based linear quadratic digital tracker is able to make the output of the digitally controlled continuous-time input-state delayed system sub-optimally track the desired reference signals. An illustrative example is presented to demonstrate the effectiveness of the proposed design methodology.

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“…To explore the intersampling behavior of the original analogously designed system (22) and the digitally redesigned system (27), we first briefly review the development of the Chebyshev quadrature method [Shieh et al, 1998] as follows.…”

Section: Digital Redesign For Ordering Chaos In Chua's Circuitmentioning

confidence: 99%

Ordering Chaos in Chua's Circuit: A Sampled-Data Feedback and Digital Redesign Approach

Guo

Shieh

Chen

et al. 2000

Int. J. Bifurcation Chaos

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In this paper, we develop and apply some digital design and redesign techniques for ordering the chaotic Chua's circuit. The idea of using sampled-data feedback for controlling the circuit was previously suggested [Yang & Chua, 1998], which relies on small sampling periods. We show how this sampled-data feedback control method can be significantly improved, so that large sampling times are allowed, for the same purpose of ordering the nonlinear circuit, from anywhere within the chaotic attractor towards a predesired periodic cycle of the circuit.

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Design of PAM and PWM digital controllers for cascaded analog systems

Cited by 58 publications

References 18 publications

An Active Fault-Tolerant PWM Tracker for Unknown Nonlinear Stochastic Hybrid Systems: NARMAX Model and OKID-Based State-Space Self-Tuning Control

An Active Fault-Tolerant PWM Tracker for Unknown Nonlinear Stochastic Hybrid Systems: NARMAX Model and OKID-Based State-Space Self-Tuning Control

The observer‐based linear quadratic sub‐optimal digital tracker for analog systems with input and state delays

Ordering Chaos in Chua's Circuit: A Sampled-Data Feedback and Digital Redesign Approach

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