Maximum achievable precision of linear systems with discrete controllers (original) (raw)
References
Aleksandrov, A.G. and Chestnov, V.N., Synthesis of Multivariable Systems of Prescribed Accuracy. I. Use of Procedures of _LQ_-Optimization, Autom. Remote Control, 1998, vol. 59, no. 7, part 2, pp. 973–983. MATHMathSciNet Google Scholar
Aleksandrov, A.G. and Chestnov, V.N., Synthesis of Multivariable Systems of Prescribed Accuracy. II. Use of Procedures of H ∞-Optimization, Autom. Remote Control, 1998, vol. 59, no. 8, part 2, pp. 1153–1164. MATHMathSciNet Google Scholar
Aleksandrov, A.G., Properties of Analytically Constructed Linear Systems, Autom. Remote Control, 1975, vol. 36, no. 10, part 1, pp. 1573–1579. MATH Google Scholar
Safonov, M.G., Stability and Robustness of Multivariable Feedback Systems, Cambridge, Massachusetts: MIT Press, 1980. MATH Google Scholar
Sadomtsev, Yu.V., Konstruirovanie sistem upravleniya s obratnoi svyaz’yu po kriteriyam tochnosti i grubosti (Design of Feedback Control Systems from Precision and Robustness Criteria), Saratov: Saratov. Gos. Tekh. Univ., 2003. Google Scholar
Tsypkin, Ya.Z., Osnovy teorii avtomaticheskikh sistem (Fundamentals of the Theory of Automatic Systems), Moscow: Nauka, 1977. Translated under the title Grundlagen der Theorie automatischer Systeme, Berlin: VEB Verlag Technik, 1981. Google Scholar
Aleksandrov, A.D., Sintez regulyatorov mnogomernykh sistem (Design of Controllers of Multidimensional Systems), Moscow: Mashinostroenie, 1986. Google Scholar
Shaked, U., Guaranteed Stability Margins for the Discrete-Time Linear-Quadratic Optimal Regulator, IEEE Trans. Autom. Control, 1986, vol. 31, no. 2, pp. 162–165. ArticleMATH Google Scholar
Chestnov, V.N., O predel’nom koeffitsiente peredachi analiticheski skonstruirovannykh sistem s tsifrovymi regulyatorami (On the Limiting Transfer Coefficient of Analytically Designed Systems with Digital Controllers Controller), Available from TSNIITEI Priborostroeniya, 1985, no. 3122. Google Scholar
Chestnov, V.N., Maximum Achievable Precision of Systems with Digital Controllers, in Tr. Mosk. Inst. Stali Splavov “Chastotnoe upravlenie,” 1994, Moscow: MISiS, pp. 40–55. Google Scholar
Kwakernaak, H. and Sivan, R., The Maximally Achievable Accuracy of Linear Optimal Regulators and Linear Optimal Filters, IEEE Trans. Autom. Control, 1972, vol. AC-17, no. 1, pp. 79–86. ArticleMathSciNet Google Scholar
Kwakernaak, H., and Sivan, R., Linear Optimal Control Systems, New York: Wiley, 1972. Translated under the title Lineinye optimal’nye sistemy upravleniya, Moscow: Mir, 1977. MATH Google Scholar
Pasumanskii, M.A. and Pervozvanskii, A.A., Limiting Accuracy of Linear Feedback Systems and Asymptotic Behavior of the H 2-Norm and H ∞-Norm, Autom. Remote Control, 1995, vol. 56, no. 7, part 1, pp. 925–932. MathSciNet Google Scholar
Sadomtsev, Yu.V., Static Controllability of the Output of Linear Stationary Controlled Systems, Izv. Akad. Nauk SSSR, Tekh. Kibern., 1990, no. 2, pp. 15–22. Google Scholar
Kuo, B., Digital Control Systems, New York: Holt, Rinehart and Winston, 1980. Translated under the title Teoriya i proektirovanie tsifrovykh sistem upravleniya, Moscow: Mashinostroenie, 1986. Google Scholar
Sandberg, I.W. and Xu, L.Y., Steady-State Errors in Discrete-Time Control Systems, Automatica, 1993, vol. 29, no. 2, pp. 523–526. ArticleMATHMathSciNet Google Scholar
Kuo, B.C., Automatic Control Systems, New York: Prentice-Hall, 1991. Google Scholar
Sadomtsev, Yu.V. and Torgasheva, O.Yu., Limiting Precision of the Discrete-time Systems with Linear-Quadratic Controller, Izv. Ross. Akad. Nauk, Teor. Sist. Upravlen., 2001, no. 6, pp. 62–69. Google Scholar
Sadomtsev, Yu.V. and Torgashova, O.Yu., Estimation of the Limit Accuracy of Discrete Systems for a Class of Dynamic Controllers Relative to the Output, Autom. Remote Control, 2005, vol. 66, no. 9, pp. 1423–1439. ArticleMathSciNet Google Scholar
Fomin, V.N., Fradkov, A.L., and Yakubovich, V.A., Adaptivnoe upravlenie dinamicheskimi ob”ektami (Adaptive Control of Dynamic Plants), Moscow: Nauka, 1981. MATH Google Scholar
Yakubovich, E.D., Solution of a Problem in the Optimal Control of a Discrete Linear System, Autom. Remote Control, 1975, vol. 36, no. 9, part 2, pp. 1447–1453. MATHMathSciNet Google Scholar
Yakubovich, E.D., Optimal Control of Linear Discrete System in the Presence of a Nonmeasurable Perturbation, Autom. Remote Control, 1977, vol. 38, no. 4, part 1, pp. 492–496. MATHMathSciNet Google Scholar
Polyak, B.T. and Shcherbakov, P.S., Robastnaya ustoichivost’ i upravlenie (Robust Stability and Control), Moscow: Nauka, 2002. Google Scholar
Åström, K.J. and Wittenmark, B., Computer Controlled Systems. Theory and Design, Englewood Cliffs: Prentice Hall, 1984. Translated under the title Sistemy upravleniya s EVM, Moscow: Mir, 1987. Google Scholar
Pervozvanskii, A.A., Kurs teorii avtomaticheskogo upravleniya (Course of the Automatic Control Theory) Moscow: Nauka, 1987. Google Scholar
Maciejowski, J.M., Multivariable Feedback Design, Wokingham: Addison-Wesley, 1989. MATH Google Scholar
Bellman, R.E., Introduction to Matrix Analysis, New York: McGraw-Hill, 1960. Translated under the title Vvedenie v teoriyu matrits, Moscow: Nauka, 1969. MATH Google Scholar
Doyle, J.C. and Stein, G., Multivariable Feedback Design: Concepts for a Classical/Modern Synthesis, IEEE Trans. Autom. Control, 1981, vol. 26, no. 1, pp. 4–16. ArticleMATH Google Scholar
Chestnov, V.N., Design of Digital State H ∞-Controllers of the MIMO Systems with Prescribed Precision, Autom. Remote Control, 2005, vol. 66, no. 8, pp. 1233–1238. ArticleMATHMathSciNet Google Scholar
Aleksandrov, A.G., Construction of Discrete Control Systems with Given Properties, Autom. Remote Control, 1973, vol. 34, no. 9, part 1, pp. 1414–1423. MATH Google Scholar
Anderson, B.D.O. and Moore, J.B., Optimal Control. Linear Quadratic Methods, New York: Prentice-Hall, 1990. MATH Google Scholar
Lancaster, P., Theory of Matrices, New York: Academic, 1969. Translated under the title Teoriya matrits, Moscow: Nauka, 1982. MATH Google Scholar
Marcus, M. and Minque, H., A Survey of Matrix Theory and Matrix Inequalities, Boston: Allyn and Bacon, 1964. Translated under the title Obzor po teorii matrits i matrichnykh neravenstv, Moscow: Nauka, 1972. MATH Google Scholar
Gantmakher, F.R., Teoriya matrits (Theory of Matrices), Moscow: Nauka, 1988. Translated into English under the title Theory of Matrices, New York: Chelsea, 1959. MATH Google Scholar