Global ETD Search
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Showing 1 to 9 of 9 for “"small gain theorem"”.
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A Lyapunov-based small-gain theorem for interconnected switched systems
… nor activate non-ISS subsystems for too long, a small-gain theorem can be used to conclude global asymptotic stability (GAS) of the interconnected system. For each switched system, with the constraints on the switching signal being modeled by an auxiliary timer, a correspondent hybrid system is …
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Computation of Lyapunov functions and stability of interconnected systems
… systems in Chapters 3 and 4, we introduce three small gain theorems. We propose a new approach of computing Lyapunov functions for dynamic systems without perturbations with an asymptotically stable equilibrium at the origin in Chapter 2. The proposed method constructs a continuous and piecewise …
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Verification of Digital Controller Verifications
… in mathematical modeling. The method uses the small gain theorem to compute a lower bound on the 2-induced norm of the uncertainty in the software implementation; if the lower bound is greater than 1/(2-induced norm of G), where G is the feedback system consisting of the mathematical model of …
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Switched and hybrid systems with inputs: small-gain theorems, control with limited information, and topological entropy
… We consider primarily two topics in this area: small gain theorems for interconnected switched and hybrid systems, and control of switched linear systems with limited information. First, we study input-to-state practical stability (ISpS) of interconnections of two switched nonlinear subsystems …
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Estimation and stability of nonlinear control systems under intermittent information with applications to multi-agent robotics
… the event-triggered paradigm. Building on the small gain theorem, we develop input-output triggered control algorithms yielding stable closed-loop systems. In other words, based on the currently available (but outdated) measurements of the outputs and external inputs of a plant, a mechanism …
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Convex optimization methods for model reduction
… upper bounding problem is formulated as an L2 gain upper bounding problem of some feedback interconnection, to which the small gain theorem can be applied. A numerical procedure based on integral quadratic constraint analysis and a theoretical statement based on L2 gain analysis are given to …
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Input/output analysis: graphical and algorithmic methods
… leads to a graphical incremental stability theorem, which unifies and generalizes the Nyquist criterion, circle criterion, incremental passivity theorem, incremental small gain theorem and incremental secant condition. A novel special case of this theorem concerns systems which only violate …
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Nonlinear algorithms for fast and robust control of electrical drives
… robust response, all algorithms use very large gains. In a new, variable limit PI (VLPI) control algorithm, integrator windup is completely prevented by using a high gain, "variable dead zone" nonlinearity as a local feedback over the integrator. Recently proposed soft variable structure (SVS) …
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Rejection of periodic disturbances in uncertain nonlinearly perturbed stable infinite dimensional systems
… from the testbed is a prerequisite for gaining access to the mold oscillation system. Furthermore, access to the mold oscillation system is limited in general. Hence the modeling, problem formulation, controller synthesis, controller validation and rigorous analysis are carried out for …