Optimal and robust control : advanced topics with MATLAB́ /: advanced topics with MATLAB́. (2012)

• Record Type: Book
• Further Information: Note: Edited by Luigi Fortuna, Mattia Frasca.
• Other Names: Fortuna, L (Luigi), 1953-; Frasca, Mattia
• Contents: Modelling of uncertain systems and the robust control problem; Uncertainty and robust control; The essential chronology of major findings into robust control; ; Fundamentals of stability ; Lyapunov criteria; Positive definite matrices; Lyapunov theory for linear time-invariant systems; Lyapunov equations; Stability with uncertainty; Exercises; ; Kalman canonical decomposition; Introduction; Controllability canonical partitioning; Observability canonical partitioning; General partitioning; Remarks on Kalman decomposition; Exercises; ; Singular value decomposition; Singular values of a matrix; Spectral norm and condition number of a matrix; Exercises; ; Open-loop balanced realization; Controllability and observability gramians; Principal component analysis; Principal component analysis applied to linear systems; State transformations of gramians; Singular values of linear time-invariant systems; Computing the open-loop balanced realization; Balanced realization for discrete-time linear systems; Exercises; ; Reduced order models; Reduced order models based on the open-loop balanced realization; Reduced order model exercises; Exercises; ; Symmetrical systems; Reduced order models for SISO systems; Properties of symmetrical systems; The cross-gramian matrix; Relations between W2 c, W2 o and Wco ; Open-loop parameterization; Relation between the Cauchy index and the Hankel matrix; Singular values for a FIR filter; Singular values of all-pass systems; Exercises; ; Linear quadratic optimal control; LQR optimal control; Hamiltonian matrices; Resolving the Riccati equation by Hamiltonian matrix; The Control Algebraic Riccati Equation; Optimal control for SISO systems; Linear quadratic regulator with cross-weighted cost; Finite-horizon linear quadratic regulator; Optimal control for discrete-time linear systems; Exercises; ; Closed-loop balanced realization; Filtering Algebraic Riccati Equation; Computing the closed-loop balanced realization; Procedure for closed-loop balanced realization; Reduced order models based on closed-loop balanced realization; Closed-loop balanced realization for symmetrical systems; Exercises; ; Passive and bounded-real systems; Passive systems; Circuit implementation of positive-real systems; Bounded-real systems; Relationship between passive and bounded-real systems; Exercises; ; H∞ linear control; Introduction; Solution of the H∞ linear control problem; The H∞ linear control and the uncertainty problem; Exercises; ; Linear Matrix Inequalities for optimal and robust control; Definition and properties of LMI; LMI problems; Formulation of control problems in LMI terms; Solving a LMI problem; LMI problem for simultaneous stabilizability; Solving algebraic Riccati equations through LMI; Computation of gramians through LMI; Computation of the Hankel norm through LMI; H∞ control; Multiobjective control; Exercises; ; The class of stabilizing controllers; Parameterization of stabilizing controllers for stable processes; Parameterization of stabilizing controllers for unstable processes; Parameterization of stable controllers; Simultaneous stabilizability of two systems; Coprime factorizations for MIMO systems and unitary factorization; Parameterization in presence of uncertainty; Exercises; ; Recommended essential references; ; Appendix A. Norms; ; Appendix B. Algebraic Riccati Equations; ; Index; ;
• Publisher Details: Place of publication not identified : CRC Press
• Publication Date: 2012
• Extent: 1 online resource, illustrations
• Subjects: 629.8; Robust control -- Mathematical models; Linear systems; Automatic control; TECHNOLOGY & ENGINEERING / Electrical; TECHNOLOGY & ENGINEERING / Electronics / Microelectronics; TECHNOLOGY & ENGINEERING / Mechanical
• Languages: English
• ISBNs: 9781466503144; 1466503149
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.