Singularly Perturbed Jump Systems
Stability, Synchronization and Control
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112 Result(s)
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**ze Shen
Control and Systems Theory
Systems Theory, Control
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Article
Model-free method for LQ mean-field social control problems with one-dimensional state space
This paper presents a novel model-free method to solve linear quadratic (LQ) mean-field control problems with one-dimensional state space and multiplicative noise. The focus is on the infinite horizon LQ setti...
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Book
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Chapter
Stochastic Stability Analysis and Stabilization
This chapter focuses on the stochastic stability analysis and the stabilizing controller design problem for discrete-time Markov jump singularly perturbed systems (MJSPSs), in which the complete probability in...
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Chapter
Control of Nonlinear Systems Case
This chapter considers the robust control problem for nonlinear Markov jump singularly perturbed jump systems based on the T-S fuzzy model. To address the issue of actuator failure, fault-tolerant control and ...
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Chapter
Stabilization of Linear Systems Case
In this section, we consider the stabilization for semi-Markov jump singularly perturbed systems (SMJSPSs) subjected to partially available transition information. The considered system includes two special ca...
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Chapter
\(H_{\infty }\) Synchronization of Complex Networks Case
This chapter investigates the problem of \(H_{\infty }\) H ∞ ...
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Chapter
H \(_\infty \) Control of Nonlinear Systems Case
In this chapter, the \(H_{\infty }\) H ∞ ...
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Chapter
Introduction and Preview
The coexistence of multiple-time scales dynamics phenomena and sudden changes in system structure and parameters are frequently encountered in engineering control systems. Generally, these control systems can ...
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Chapter
Control of Linear Systems Case
This chapter investigates the \(H_{\infty }\) H ∞ ...
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Chapter
Synchronization of Complex Networks Case
This chapter gives the \(H_{\infty }\) H ∞ ...
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Chapter
Stabilization of Nonlinear Systems Case
This chapter focuses on the issue of nonlinear semi-Markov singularly perturbed systems (SPSs) using a fuzzy model-based approach. This chapter uses semi-Markov Kernel (SMK) to calculate controller gains by us...
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Chapter
H \(_\infty \) Control of Linear Systems Case
This chapter investigates the asynchronous \(H_{\infty }\) H ∞ ...
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Chapter
Finite-Time Control Case
Finite-time boundedness (FTB) describes the boundedness of system states. It required that system states cannot exceed a given threshold during a finite time interval. The existing results on Markov jump singu...
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Chapter
Concluding Remarks
This chapter summarizes the work in this book, discusses the opportunities and challenges in MPC and AMV control system design, and provides some potential future research directions.
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Chapter
AMV Modeling
The study of AMV motion can be split into two groups: (1) Kinematics, which only deals with geometrical aspects of the motion; (2) Dynamics, which analyzes the forces and moments causing the motion. In this ch...
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Chapter
Robust Distributed Model Predictive Platooning Control for Heterogeneous Autonomous Surface Vehicles
This chapter applies a robust distributed model predictive platooning control approach for a group of heterogeneous ASVs with the input constraint and bounded external disturbances. The control input for each ...
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Book
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Chapter
Lyapunov-Based Model Predictive Control for Dynamic Positioning and Trajectory-Tracking Control of an AUV
In this chapter, an algorithm is firstly proposed for an AUV. A nonlinear Proportional-derivative (PD) law is exploited to construct the contraction constraint in optimization problem that is associated wi...
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Chapter
Distributed Lyapunov-Based Model Predictive Formation-Tracking Control for AUVs Subject to Disturbances
This chapter studies the formation tracking problem of a team of AUVs with the ocean current disturbances. A DLMPC is designed such that AUVs can keep the desired formation while tracking the reference traject...
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Chapter
Efficient Implementation Algorithms for NMPC-Based AUV Trajectory-Tracking Control
Two distinct fast implementation strategies are proposed for the NMPC-based trajectory control of an . The first strategy is based on the numerical continuation method. Assuming that the solution of the ass...
