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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 14 of 14 for “"Algebraic Riccati Equation"”.
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On the numerical solution of continuous coupled algebraic Riccati equations
… upper solution bound for the continuous coupled algebraic Riccati equation, which arises from the optimal control of a Markovian jump linear system. In particular, we address the issue of rank deficiency with the control matrices. In the case of rank deficiency the existing matrix upper bounds …
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Studies on quadratic matrix equations and riccati differential equations associated with regular m-matrices
The thesis is mainly about the quadratic matrix equation X2- EX- F = 0, where E is a diagonal matrix and F is a regular M-matrix. Quadratic matrix equations of this kind arise in noisy Wiener-Hopf problems for Markov chains. The solution of practical interest is a special M-matrix solution. The …
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Reliable control of decentralized systems: An ARE-based H(infinity) approach
… control system synthesis based on the algebraic Riccati equation (ARE). The basic decentralized design guarantees closed-loop stability and a predetermined level of worst-case disturbance attenuation. Certain modifications of the basic design guarantee the stability and disturbance …
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Analysis and Real-Time Implementation of State -Dependent Riccati Equation Controlled Systems
… The SDRE control is calculated by solving the Algebraic Riccati Equation online and the Pendubot is regulated at one of its unstable positions. The results show that the computational power requirement associated with SDRE real-time control is not very high. Simulation and experimental results …
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Methods of Computing Functional Gains for LQR Control of Partial Differential Equations
… defined by parabolic partial differential equations. In particular, we study various methods for computing functional gains to boundary control problems for the heat equation. These methods require us to solve various equations including the algebraic Riccati equation, the Riccati partial …
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Analysis and Numerical Methods for Algebraic Riccati Equations Associated with Regular M-Matrices
The thesis is a further study about algebraic Riccati equations for which the four coe cient matrices form a regular M-matrix K. We prove a property about minimal nonnegative solutions of such an algebraic Riccati equation and its dual equation. And we show that Newton's method, SDA, ADDA are …
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OPTIMAL CONTROL DESIGN FOR POLYNOMIAL NONLINEAR SYSTEMS USING SUM OF SQUARES TECHNIQUE WITH GUARANTEED LOCAL OPTIMALITY
… be used to approximate the solution of the HJB equation to find the optimal control. In this research, a computational approach is developed for finding the optimal control for nonlinear systems with polynomial vector fields based on sum of squares technique. In this research, a numerical …
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Development and Application of Modern Optimal Controllers for a Membrane Structure Using Vector Second Order Form
… be obtained to solve the partial differential equation of the system. Therefore, the Finite Element Model is applied to obtain an approximate solution for the membrane actuator system. Another difficulty that arises with very flexible large structures is the dimension of the discretized system. …
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Dissipative systems theory : analysis and synthesis
… to a PDI or a solution to a partial differential equation (PDE), in the viscosity sense. When the solution to the PDE is smooth, then it also has a stabilizing (in some sense) property. These results generalize the strict bounded real lemma in the linear H control literature. We also provide …
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Dissipative systems theory : analysis and synthesis
… to a PDI or a solution to a partial differential equation (PDE), in the viscosity sense. When the solution to the PDE is smooth, then it also has a stabilizing (in some sense) property. These results generalize the strict bounded real lemma in the linear H control literature. We also provide …
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H-Infinity Norm Calculation via a State Space Formulation
… that the unique stabilizing solutions to two Algebraic Riccati Equations are positive semi definite as well as satisfying a spectral radius coupling condition. In this work, we describe an algorithm by Lin et al(1999), used to calculate the H-infty norm for the state feedback and output …
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Dynamics and control of spacecraft with retargeting flexible antennas
… The dissertation contains the derivation of the equations of motion by a Lagrangian approach using quasi-coordinates, as well as a procedure for designing the feedback controls. Assuming that antennas are flexible, distributed parameter members, the state equations of motion are hybrid. Moreover, …
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Approximation and Control of the Boussinesq Equations with Application to Control of Energy Efficient Building Systems
… exponentially stabilize the nonlinear Boussinesq Equations by applying Neumann/Robin type boundary control on a bounded and connected domain. The feedback controller is obtained by solving a Linear Quadratic Regulator problem for the linearized Boussinesq equations. Applying classical results for …
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X-ray microscope performance enhancement through control architecture change
The goal of this thesis is to apply control algorithms to improve the performance of nanopositioning devices used on the beamline in Advanced Photon Source (APS) at Argonne National Laboratory (ANL). A prototype device, better known as the Early User Instrument (EUI) was the subject of this work. …