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Satisfactory Control and Filtering for a Class of Nonlinear Stochastic Systems

Author: MaLiFeng
Tutor: GuoZhi;ShengAnDong;WangZiDong
School: Nanjing University of Technology and Engineering
Course: Control Science and Engineering
Keywords: Nonlinear Systems Stochastic Systems Satisfactory control Covariance control Sliding Mode Control Uncertain Parameters H_ ∞ performance index H2 performance indicators LMI
CLC: TP13
Type: PhD thesis
Year: 2010
Downloads: 114
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Abstract


This paper studies a class of nonlinear stochastic systems satisfactory control and satisfaction filtering problem. Each chapter of the thesis, for such nonlinear stochastic systems, the first of the stability and robustness of the system as well as engineering practice required by the pre-set performance indicators (such as system (co) variance index, H ∞ performance indicators, H2 performance indicators, etc.) were analyzed, and the existence of the system parameter uncertainties, external disturbances and internal factors such as nonlinear perturbation stochastic robust asymptotically stable or robust exponential random sufficient condition for stability. Secondly, the discussion of the controller or filter synthesis problem, given all the pre-set performance targets are met prerequisites, the ideal controller or a sufficient condition for the existence of filter and boils down to solving a set of linear matrix inequality (LMI). This paper covers the following aspects: ? Chapter 1 introduces the research background and motivation, the paper proposes to study the issue, the paper also summarizes the main contributions. ? Chapter 2 gives a nonlinear stochastic systems to be studied with a variance constraints Robust H ∞ controller design method. Establish a unified framework, making the system exponentially stable performance, H ∞ performance indicators and system variance constraints simultaneously met. Based on this result, this chapter considers two types of nonlinear stochastic systems optimization problems, a class of optimal H ∞ performance index, another indicator variance optimization system. ? Chapter 3 contains uncertain parameters for such measurements and incomplete nonlinear stochastic system, given the robust filter design methods. Measuring system not fully meet certain conditions with the probability distribution of the random sequence of binary switches is described. First, establish a filtering error system while meeting the exponential stability and mean square error variance Constrainets sufficient condition, followed by the required filter gives specific algorithm. ? Chapter 4, for such uncertain nonlinear stochastic systems, designed with a robust fault-tolerant controller variance constraints. Sensors used in this chapter failure model than the traditional model closer to the actual failure. ? Chapter 5 is to be studied nonlinear stochastic systems designed based state estimator dissipative controller such that the closed-loop system is exponentially stable performance while meeting performance and dissipation, and the steady state of the system does not exceed the pre-set variance the upper bound. ? Chapter 6 studies nonlinear stochastic time-varying systems such Robust H ∞ controller design. The use of recursive linear matrix inequalities (RLMI) method, output feedback controller is designed to meet a limited time to achieve closed-loop system H ∞ performance requirements. · Chapter 7 for such uncertain nonlinear stochastic systems, using sliding mode control (SMC) method, designed to meet the performance preset H2 robust controller. This chapter contains both the considered nonlinear matched and mismatched nonlinear nonlinear. For such uncertain nonlinear stochastic systems, we propose a new discrete-time sliding mode function, using this switching function, a variety of classical stochastic nonlinear methods can be used to deal with SMC. ? Chapter 8 discusses these with random time delay uncertain nonlinear systems controller design problems. Stochastic considered in this chapter obey Bernoulli distribution with random sequence described, and different components of state with a different delay. This chapter discrete-time sliding mode controller is designed to meet the discrete-time sliding mode up conditions, while ensuring the sliding plane, the mean square asymptotic stability of the system.

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