00000cam a22000003i 4500 UP-1685594773862197299 Buklod 20201009150512.0 m | | ta 201009s1998 xx a rb |||1 u|eng d 9056991132 9789056991135 (iLib)UPBAG-00038073842 DLC BAG rda eng TJ 220 A45 1998 Aliev, F. A. (Fikret Akhmedali ogly) author. Optimization of linear control systems analytical methods and computational algorithms F.A. Aliev and V.B. Larin. Amsterdam, The Netherlands Gordon and Breach Science Publishers [1998] ix, 261 pages illustrations 26 cm Includes bibliographic references (pages 247-257) and author index. Machine generated contents note: 1 Linear Quadratic Problem 11 -- 1.0 Introduction 11 -- 1.1 Stationary Linear Quadratic Gaussian Problem 12 -- 1.2 Singular Linear Quadratic Gaussian Problem 17 -- 1.3 Weakly Damped System Control 29 -- 1.4 Linear Quadratic Problem with Singular Hamiltonian Matrix 38 -- 1.5 Linear Quadratic Problem for Periodic Systems 47 -- 2 Method of H2-Optimization (Frequency Method of Synthesis) 59 -- 2.0 Introduction 59 -- 2.1 Parametrization of Transfer Function of Feedback 61 -- 2.2 Synthesis of Optimal Linear Systems 73 -- 2.3 Optimization in H2-Space and Regulator Parametrization in the -- Standard Synthesis Problem 87 -- 2.4 Optimization of Systems with Several Degrees of Freedom 104 -- 3 Computing Algorithms of the State Space Method 113 -- 3.0 Introduction 113 -- 3.1 The Construction of the Solution to the Lyapunov Equation 114 -- 3.2 Numerical Methods of Solving Riccati Equations 127 -- 3.3 Solution of the Generalized ARE 161 -- 3.4 Algorithms of Gramian Block Diagonalization and Linear Controlled -- System Reduction 169 -- 4 Computing Algorithms of the Frequency Method of Synthesis 183 -- 4.0 Introduction 183 -- 4.1 Matrix Polynomial Factorization with respect to the imaginary Axis -- and Unit Circle 183 -- 4.2 Algorithm of J-spectral Factorization of Matrix Polynomials with -- Respect to the Imaginary Axis 199 -- 4.3 Factorization of Rational Matrices Relative to the Imaginary Axis214 -- 4.4 General Relations Involved in the Factorization Problem 225 -- 4.5 Algorithms of Rational Matrices Separation 235. Linear control systems. Control theory. FO UPBAG UPBAG-MAIN TJ 220 A45 1998 Book