Journal ArticleDOI
Sensitivity of Optimal Linear Systems to Small Variations in Parameters
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In this paper, the sensitivity of linear systems with quadratic performance indexes is analyzed for sensitivity to small parameter variations and it is shown that the sensitivity coefficients depend on the solution of sets of linear equations similar in form to the well-known Lyapunov matrix equation.Abstract:
Optimal linear systems with quadratic performance indexes are analysed for sensitivity to small parameter variations In particular, if the parameters can be separated in a certain way, it is shown that calculation of the sensitivity coefficients depends on the solution of sets of linear equations similar in form to the well-known Lyapunov matrix equation An important example is when the elements of the matrices of the linear system are themselves regarded as the parameters Expressions arc obtained for the sensitivity of the performance index, the optimal control law and the state vectorread more
Citations
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Journal ArticleDOI
Introduction to Matrix Analysis. By Richard Bellman. 2nd Edition. Pp. xxiii, 403. £7·50. (McGraw-Hill.)
TL;DR: This book discusses Maximization, Minimization, and Motivation, which is concerned with the optimization of Symmetric Matrices, and its applications in Programming and Mathematical Economics.
Journal ArticleDOI
Insensitivity of Optimal Linear Control Systems to Persistent Changes in Parameters
S. Barnett,C. Storey +1 more
TL;DR: In this article, it was shown that the optimal feedback law u = − Dx is insensitive to (i.e. is unaltered by) a wide variety of persistent changes in A and B.
Journal ArticleDOI
Some topics in algebraic systems theory: a survey†
TL;DR: In this paper, a concise review is given of some recent developments in matrix algebra to linear control systems, including stability criteria for system characteristic polynomials, realization and polynomial matrices, matrix Riccati equations and optimal control.
Journal ArticleDOI
Distributed Realtime State Reconstruction and Visualization for Control and Monitoring of Turbogenerators
TL;DR: In this paper, a distributed transputer based real-time state reconstruction observer for large turbogenerators is introduced, where the internal states, especially the rotor currents (damper), the polar angle, polar voltage and the rotor- and stator fluxes are represented and visualized through several graphical schemes.
Journal ArticleDOI
Optimal Control Under Distributed Sensor Failure Detectors
Mehrdad Saif,F. E. Villaseca +1 more
TL;DR: In this article, a simpler but more restrictive alternative to this scheme along with the effect of small and known plant parameter's variations on the detection technique is presented along with a sensitivity analysis, it is shown that it is possible to detect sensor failures in spite of small plant parameter variations without redesigning the observers and the overall control system.
References
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Book
Introduction to Matrix Analysis
TL;DR: In this article, the Second Edition Preface is presented, where Maximization, Minimization, and Motivation are discussed, as well as a method of Hermite and Quadratic Form Index.
Journal ArticleDOI
Sensitivity of the Performance of Optimal Linear Control Systems to Parameter Variations
TL;DR: In this paper, the sensitivity of the index of performance to parameter variations in optimal control systems is examined, and it is shown that the value of the performance index, after the system parameters have deviated from a nominal set of values, is still given by a symmetric positive definite quadratic form of the initial state.
Journal ArticleDOI
Stability analysis of constant linear systems by Lyapunov's second method
S. Barnett,C. Storey +1 more
TL;DR: In this paper, the stability of ax can be determined by solving the matrix equation A'B + BA =? C, which represents linear eiquations for the elements of the symmetric n × n matrix B. It is shown that the number of equations to be solved can be reduced by n.