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Showing 1 to 20 of 43 for “"Riccati equation"”.
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Analysis and Real-Time Implementation of State -Dependent Riccati Equation Controlled Systems
… 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 reveal the …
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The constrained discrete-time state-dependent Riccati equation technique for uncertain nonlinear systems
… using a special type of the state-dependent Riccati equation technique. The continuous time state-dependent Riccati equation (SDRE) technique is extended to discrete-time under input and state constraints, yielding constrained (C) discrete-time (D) SDRE, referred to as CD-SDRE. For the …
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INVESTIGATIVE STUDY OF CONTROL DESIGN FOR A CLASS OF NONLINEAR SYSTEMS USING MODIFIED STATE-DEPENDENT DIFFERENTIAL RICCATI EQUATION
State dependent Riccati equation (SDRE) plays an important role in nonlinear controller design. For autonomous nonlinear systems that can be expressed in linear form with state-dependent coefficients (SDC), SDRE-based controllers guarantee local asymptotic stability of the closed-loop system, under …
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On the numerical solution of continuous coupled algebraic Riccati equations
… 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 are …
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MULTIPLE SCATTERING FROM A RANDOM AND INHOMOGENEOUS SLAB
… reflections it has undergone in the medium. The Riccati equation, satisfied by the reflected amplitude, is decomposed into a finite set of linear equations by taking into account the number of scatterings taking place inside the medium and is solved by a novel iterative approach. The …
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Time Scales, Coherency, and Weak Coupling
… properties of solutions of a generalized matrix Riccati equation. Use of the Riccati equation formulation and a particular method for finding its solution led to the result which shows that the singular perturbation method and modal method for reduced order modeling are two extreme points of an …
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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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Adaptive, suboptimal and nonlinear control of an aeroelastic system
… control system is based on the state dependent Riccati equation method. This design yields a suboptimal control law. Finally a nonlinear controller based on backstepping design is presented. Unsteady aerodynamic model is used for the design of the suboptimal controller using state dependent …
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A Distributed Parameter Approach to Optimal Filtering and Estimation with Mobile Sensor Networks
… PDE problems defined by the convection-diffusion equations. The mathematical problem is formulated as a distributed parameter optimal control problem with integral Riccati equations as constraints. In order to prove existence of the optimal sensor network and to construct a framework in which to …
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A model-following digital control law for an EBF-STOL aircraft
… is based on the solution of the discrete matrix Riccati equation to generate the required feedback and feedforward gains. The feedback gains provide a means of closing the control loop around each of the plant states while the feedforward gains multiply the states of the inputs to some desirable …
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Linear Control and Estimation Using Operator Factorization
… can very generally be formulated as operator equations using basic linear algebra. The equations are of Fredholm type II and difficult to solve directly. It is shown how the operator can be factorized into two Volterra operators using a matrix Riccati equation. Recursive solution of these …
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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 attenuation to …
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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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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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Finite time suboptimal control design of nonlinear systems with θ-D technique and implementation to aerospace applications
… to intractable Hamilton-Jacobi-Bellman (HJB) equation were acquired by putting vanishing perturbation terms into the performance index. By tuning the parameters in perturbation terms, semi-global stability and sub-optimalilty was guaranteed. By taking the advantages of the perturbation terms, …
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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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Advanced Modeling and Control Strategies for Charging Electric Vehicle Batteries
… battery model, it applies the state-dependent Riccati equation (SDRE) technique to develop a closed-loop optimal control strategy. For the purpose of optimization, the battery model aims to track a reference trajectory with a performance index which is minimizing the quadratic error between a …
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Robust range-based localization and motion planning under uncertainty using ultra-wideband radio
… by linear least-squares estimation and the Riccati equation that provides linear belief updates, allowing us to combine several prediction and measurement steps into one efficient update. This reduces the time required to compute a plan by over two orders of magnitude, leading to a tractable …
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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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Applications of Second-Order Necessary and Sufficient Conditions to Optimal Trajectories
… For a system with n state variables, an improved Riccati equation solution method is used to transform a test for the unboundedness of a n x n matrix into a test for a scalar being zero. Application to one important second-order necessary and sufficient condition, the Jacobi no-conjugate-point …
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