Optimization of linear control systems
Subtitle: analytical methods and computational algorithms
By: F.A. Aliev and V.B. Larin.
Contributors: Larin, Vladimir Borisovich.
Series: Stability and control ;; v. 8
Publisher: Gordon and Breach Science Publishers
Published: 1998
Place of publication: Amsterdam, The Netherlands
Language: eng
Number of pages: 261
Subjects: Linear control systems.; Control theory.
Notes: Includes bibliographic references (p. 247-257) and author index.
Table of contents: title: Machine generated contents note: 1 Linear Quadratic Problem 11; title: 1.0 Introduction 11; title: 1.1 Stationary Linear Quadratic Gaussian Problem 12; title: 1.2 Singular Linear Quadratic Gaussian Problem 17; title: 1.3 Weakly Damped System Control 29; title: 1.4 Linear Quadratic Problem with Singular Hamiltonian Matrix 38; title: 1.5 Linear Quadratic Problem for Periodic Systems 47; title: 2 Method of H2-Optimization (Frequency Method of Synthesis) 59; title: 2.0 Introduction 59; title: 2.1 Parametrization of Transfer Function of Feedback 61; title: 2.2 Synthesis of Optimal Linear Systems 73; title: 2.3 Optimization in H2-Space and Regulator Parametrization in the; title: Standard Synthesis Problem 87; title: 2.4 Optimization of Systems with Several Degrees of Freedom 104; title: 3 Computing Algorithms of the State Space Method 113; title: 3.0 Introduction 113; title: 3.1 The Construction of the Solution to the Lyapunov Equation 114; title: 3.2 Numerical Methods of Solving Riccati Equations 127; title: 3.3 Solution of the Generalized ARE 161; title: 3.4 Algorithms of Gramian Block Diagonalization and Linear Controlled; title: System Reduction 169; title: 4 Computing Algorithms of the Frequency Method of Synthesis 183; title: 4.0 Introduction 183; title: 4.1 Matrix Polynomial Factorization with respect to the imaginary Axis; title: and Unit Circle 183; title: 4.2 Algorithm of J-spectral Factorization of Matrix Polynomials with; title: Respect to the Imaginary Axis 199; title: 4.3 Factorization of Rational Matrices Relative to the Imaginary Axis214; title: 4.4 General Relations Involved in the Factorization Problem 225; title: 4.5 Algorithms of Rational Matrices Separation 235.