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Sunday, August 2, 2020 | History

1 edition of Robust stability analysis and controller synthesis for systems with parametric uncertainties found in the catalog.

Robust stability analysis and controller synthesis for systems with parametric uncertainties

by Baowei Ji

  • 99 Want to read
  • 40 Currently reading

Published .
Written in English

    Subjects:
  • Control theory,
  • Mathematical models,
  • System analysis,
  • Robust control

  • Edition Notes

    Statementby Baowei Ji
    The Physical Object
    Paginationxvi, 109 leaves :
    Number of Pages109
    ID Numbers
    Open LibraryOL25907297M
    OCLC/WorldCa880637371

    Abstract. The paper mainly investigates the fuzzy control problem for a class of nonlinear discrete-time stochastic systems with Markovian jump and parametric uncertainties. The class of systems is modeled by a state space Takagi-Sugeno (T-S) fuzzy model that has linear nominal parts and norm-bounded parameter uncertainties in the state and output equations. A robust receding horizon control (RHC) with free control moves is applied to polytopic parametric uncertainty systems with multiple input delays and unstable system matrices. A difficulty in the previous robust RHC work is that the free control moves are unsuitable for the system with input time delay, which is overcome in this paper by the design based on the augmented state.

    CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We present new algorithms for the robust stability analysis and gain-scheduled controller synthesis for linear systems affected by time-varying parametric uncertainties. Sufficient conditions for robust stability as well as conditions for the existence of a robustly stabilizing gain-scheduled controller are given in. Typical examples are robustness analysis of linear systems affected by parametric uncertainties and the synthesis of a linear controller satisfying multiple, often conflicting, design specifications. For problems in which LMI methods produce conservative results, the SV approach is shown to achieve greater accuracy.

    We finally tackled robustness synthesis problems, and constructed a robust controller design methodology which combined the essence of the new theory and H8 design. An important attempt reported in literature on robust controller design was to use standard H8 design while replacing a family of uncertainties with the maximum uncertainty value. This paper deals with the problems of robust stability analysis and robust stabilization for uncertain nonlinear polynomial systems. The combination of a polynomial system stability criterion with an improved robustness measure of uncertain linear systems has allowed the formulation of a new criterion for robustness bound estimation of the studied uncertain polynomial systems.


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Robust stability analysis and controller synthesis for systems with parametric uncertainties by Baowei Ji Download PDF EPUB FB2

Lei Liu, Yi Yang, in Modeling and Precision Control of Systems with Hysteresis, Robust Stability Analysis. Robust stability is very important because of various uncertainties [21], and in this section we give the robust stability margins of the uncertain closed calculation, the robust stability margin for the H ∞ closed loop isand the destabilizing frequency is Analysis and synthesis of robust control systems via parameter-dependent Lyapunov functions Abstract: In this paper, the problem of robust stability of systems subject to parametric uncertainties is considered.

Sufficient conditions for the existence of parameter-dependent Lyapunov functions are given in terms of a criterion which is Cited by: We discuss the problem of robust controller synthesis to provide quadratic stability and a desirable disturbance attenuation level (through an appropriately small L2 gain) for systems with time.

Full text of "Robust stability analysis and controller synthesis for systems with parametric uncertainties" See other formats ROBUST STABILITY ANALYSIS AND CONTROLLER SYNTHESIS FOR SYSTEMS WITH PARAMETRIC UNCERTAINTIES By BAOWEI JI A DISSERTATION PRESENTED TO THE GRADUATE SCHOOL OF THE UNIVERSITY OF FLORIDA IN PARTIAL.

mathematical model of plant to synthesis the feedback control system. This model should contain different uncertainties to make it more similar to actual model.

Therefore, control system should have robust stability and performance under model uncertainties. Above desires will be accessible with a controller inμ framework. Abstract: We present new algorithms for robust stability analysis and gain-scheduled controller synthesis for linear systems affected by time-varying parametric uncertainties.

These new techniques can also be applied to parameter-dependent nonlinear systems with real-rational nonlinearities.

Sufficient conditions for robust stability, as well as conditions for the existence of a robustly. Monte Carlo simulation is used to estimate the likelihood of system instability and violation of performance requirements subject to variations of the probabilistic system parameters.

Stochastic robust control synthesis searches the controller design parameter space to minimize a cost that is a function of the probabilities that design criteria.

This paper proposes a new robust stabilization condition for Takagi-Sugeno (T-S) fuzzy control system with parametric uncertainties. The condition is represented in the form of linear matrix inequalities (LMIs) and is less conservative than some relaxed quadratic stabilization conditions published in the literature.

Based on the LMI-based conditions derived, one can easily synthesize. Advanced Robustness Analysis Move beyond classical SISO stability (gain/phase) margins 1.

Multi-loop (MIMO) systems with multiple uncertainties 2. More detailed uncertainty descriptions including •Parametric, •Non-parametric (dynamic) •Nonlinearities, e.g. saturation 3. Consider both robust stability and robust performance. By using the robust control synthesis, the system designers can shape the frequency responses of the desired model which satisfies both transient response and robustness against various uncertainties.

In fact, the robust controller can effectively attenuate exogenous disturbances and sensor noises during machining process. In this paper, the problem of robust stability of systems subject to parametric uncertainties is considered.

Sufficient conditions for the existence of parameter-dependent Lyapunov functions are. and analysis of feedback control systems. Robust feedback control for magnetic levitation systems is considered problematic due to the parametric uncertainties in mass, strong disturbance forces between the magnets and noise effects inflowing from sensor and input channels.

Therefore robustness is a key issue in designing a control system. Abstract: This paper presents a robust control synthesis method for linear time-invariant (LTI) differential systems with parametric uncertainty.

The uncertain dynamics is described by a parametric kernel representation. We use parametric quadratic differential forms (QDF) to represent the dissipativity properties (both storage function and supply rate) of the uncertain system.

approach is based on the mixed µ synthesis, in which the real parametric D OYLE, J., Structured Uncertainties in Control System Robust stability analysis of inverted pendulum system with.

Linear and nonlinear uncertainties are two types of parametric uncertainties. For example, nonlinear systems with parametric uncertainties [7], an adaptive robust control study [8], integer. The Magnetic Levitation System is one of the important benchmark laboratory models for the design and analysis of feedback control systems.

Robust feedback control for magnetic levitation systems is considered problematic due to the parametric uncertainties in mass, strong disturbance forces between the magnets and noise effects inflowing from sensor and input channels.

Abstract. Robust stability analysis of state space models with respect to real parametric uncertainty is a widely studied challenging problem. In this paper, a quite general uncertainty model is considered, which allows one to consider polynomial nonlinearities in the uncertain parameters.

Request PDF | Robust Microgrid Control Synthesis | This chapter addresses the application of robust control in microgrids (MGs), and emphasizes the robust frequency control in islanded MGs. The simplest results on stability of linear systems under parametric uncertainty are the Kharitonov theorem, edge theorem, and graphical tests.

More advanced results include sufficient conditions for robust stability with matrix uncertainty, LMI tools, and randomized methods. uncertainties, Systems & Control Letters 43 (), – [DRI02]J.

Daafouz, P. Riedinger, and D. Iung, Stability analysis and control synthesis for switched systems: A switched lyapunov function approach, IEEE Transactions on Automatic Control 47 (), no.

11, –. Synthesis of Robust Controllers with Few Degrees of Freedom for Systems with Structured Real Parametric Uncertainty ASME WAM—Advances in Robust and Nonlinear Control Systems, DSC-Vol.

53,pp. 87– Zhao, Y., and Jayasuriya, S., “Robust Stabilization of Linear Time Invariant Systems with Parametric Uncertainties,” Advances. 3. Controller synthesis Quantitative feedback theory. QFT is a frequency domain method to design a low bandwidth robust controller. The goal is to achieve desired plant output responses despite uncertain plant and unknown graphically based method can quantitatively show exact levels of plant uncertainties, desired specifications and control effort in a .In this paper, the problem of relaxed robust quadratic stability condition for a class of uncertain nonlinear system is considered.

The uncertain nonlinear systems are represented by T-S fuzzy model with uncertainties and a new quadratic robust stability condition is obtained by designing state feedback controller. The condition is represented in the form of linear matrix inequalities (LMIs.