Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 38 for “"Linear Matrix Inequalities"”.
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The Distance to Uncontrollability via Linear Matrix Inequalities
… distance to uncontrollability of a controllable linear system is a measure of the degree of perturbation a system can undergo and remain controllable. The definition of the distance to uncontrollability leads to a non-convex optimization problem in two variables. In 2000 Gu proposed the first …
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Optimal H₂/Popov controller design using linear matrix inequalities
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1996.
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A convex solution to receding horizon control of switched linear systems
… uniform stabilization of discrete-time switched linear systems subject to a strongly connected switching constraint is exactly solved for finite-path-dependent controllers with finite horizon knowledge of future switching modes. Conditions for the existence of both a full-information …
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Decentralized control of linear switched systems with receding horizon
… for controller synthesis are obtained via Linear Matrix Inequalities (LMIs). Using known derivations for a centralized controller with look-ahead, we were able to extend the decentralized problem with finite memory to include receding horizon modal information. We then compare the …
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An integrated approach to the design of an aircraft gain scheduled controller
… to rewrite the aircraft dynamic requirements as linear matrix inequalities (LMI's) and to optimize a linear cost function associated with aircraft plant parameters, while meeting the LMI constraints. An algorithm using Matlab and LMI-Lab has been developed. This algorithm has been used for …
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Nonlinear and Hybrid Feedbacks with Continuous-Time Linear Systems
In this thesis we study linear time-invariant systems feedback interconnected with three specific nonlinear blocks; a play/stop operator, a switching-reset mechanism, and an adaptive dead-zone. This setup resembles the Lure problem studied in the absolute stability framework, but the types of …
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Robust Control for Inter-area Oscillations
… on system stability, it is possible to use Linear Matrix Inequalities (LMIs) to design a multi-objective state feedback. The LMI optimization finds a control law that stabilizes several contingencies simultaneously using a polytopic model of the system. However, the number of cases to be …
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Control and filtering of time-varying linear systems via parameter dependent Lyapunov functions
… this dissertation is to propose conditions for linear filter and controller design, considering both robust and parameter dependent structures, for discrete time-varying systems. The controllers, or filters, are obtained through the solution of optimization problems, formulated in terms of …
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Robust stability and contraction analysis of nonlinear systems via semidefinite optimization
… of stability and performance problems for linear and certain classes of nonlinear dynamical systems can be formulated as convex optimization problems involving linear matrix inequalities (LMIs). These formulations can be solved numerically with computationally-effcient interior-point …
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Scalable design rules for heterogeneous networks
… multi-input-multi-output systems and nonlinearities. For networks of single-input-single-output systems with a bipartite interconnection structure the protocol takes the form of a graphical Nyquist type test. This allows local control systems to be designed using loopshaping techniques. …
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Graduated Persistent Excitation and steady state margins for adaptive systems
The numerous design tools developed for use with linear controllers, specifically gain and phase margins, do not apply to nonlinear control architectures such as model reference adaptive control. The first step for the development of Verification and Validation (V&V) techniques for this class of …
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Switched Markov Jump Linear Systems: Analysis and Control Synthesis
Markov jump linear systems find application in many areas including economics, fault-tolerant control, and networked control. Despite significant attention paid to Markov jump linear systems in the literature, few authors have investigated Markov jump linear systems with time-inhomogeneous Markov …
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A Two-Dimensional Systems Stability Analysis of Vehicle Platoons
… are in the field of stability analysis of linear and nonlinear two-dimensional systems. The study of stability of such systems is motivated by the “string stability” or “platooning” problem: In order to achieve tighter spacing between vehicles travelling one after the other in one …
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Feedback control design for closed-loop oscillations via dominant system theory
Stable oscillations, arising from nonlinear non-equilibrium dynamics, are an important class of behavior in both nature and engineering. For engineering applications like robotic locomotion, it is usually desirable to induce oscillations in a controlled manner. While plenty of feedback control …
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Optimal control with structure constraints and its application to the design of passive mechanical systems
… also discussed. Riccati-based synthesis, linear matrix inequalities (LMI), homotopy methods, gradient- and subgradientbased optimization are used. Some new algorithms and extensions are proposed, such as a subgradient-based method to maximize the minimal damping with structured feedback, a …
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Piecewise Linear Control Systems
… thesis treats analysis and design of piecewise linear control systems. Piecewise linear systems capture many of the most common nonlinearities in engineering systems, and they can also be used for approximation of other nonlinear systems. Several aspects of linear systems with quadratic …
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Stacked-Switched Electrolytic Capacitor-less AC/DC Power Converters
… is developed using H_infinity synthesis with Linear Matrix Inequalities (LMIs), ensuring voltage stability under uncertainty and distortion. Experimental results confirm dynamic performance and low output distortion. Together, these contributions support next-generation EV charging systems …
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Robust Modular Control over Graph-Structured Feedback Architectures
… introduce a modular feedback synthesis based on linear matrix inequalities (LMIs) that guarantees closed-loop stability for all admissible feedback gains by sharing a common Lyapunov function. From a coalitional control viewpoint, the modular structure assigns a feedback block to each …
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Computational Methods for Optimal Control of Hybrid Systems
… can be found via convex optimization in a linear program. Moreover, a dual of this optimization problem, parameterized in the control law, has been formulated via general ideas from duality in transportation problems. It is shown that the lower bound of the value function is tight for …
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Stability Limits of Uncertain Systems in the Presence of Unmatched Coupled Dynamics and Actuator Dynamics with Adaptive Architectures
… stability condition that is examined via linear matrix inequalities (LMI) analysis, where applicable. Additionally, we investigate the effects of incorporating a low-pass filter to mitigate high-frequency oscillations that can arise from the large MRAC update rates that are required for …
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