Computer Aided Design of Optimal Decentralized Controllers Under Control Path Constraints

Abstract A class of optimal control problems which is mainly characterized by a set of path constraints on the control variables is presented in this paper. After having transformed the original infinite set of constraints into a finite one, a solution of the stated problem is found by following a Parameter Optimization Approach. The design of an optimal decentralized stabilizing controller for the damping of the electromechanical oscillations of an electric power system is finally illustrated.

[1]  C. Knapp,et al.  Optimal constant controllers for stochastic linear systems , 1975 .

[2]  Jerry M. Mendel,et al.  On the design of optimal time-invariant compensators for linear stochastic time-invariant systems , 1975 .

[3]  Edward Davison,et al.  The design of controllers for the multivariable robust servomechanism problem using parameter optimization methods , 1980, 1980 19th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[4]  M. Athans,et al.  On the determination of the optimal constant output feedback gains for linear multivariable systems , 1970 .

[5]  C. Maffezzoni,et al.  Parameter Optimization in Decentralized Process Control: A Program Package for Multivariable Industrial Regulators Design , 1979 .

[6]  Alberto L. Sangiovanni-Vincentelli,et al.  Computer-aided design via optimization : A review , 1982, Autom..

[7]  David L. Kleinman,et al.  Extensions to the Bartels-Stewart algorithm for linear matrix equations , 1978 .

[8]  Richard H. Bartels,et al.  Algorithm 432 [C2]: Solution of the matrix equation AX + XB = C [F4] , 1972, Commun. ACM.

[9]  M. Athans,et al.  On the design of optimal constrained dynamic compensators for linear constant systems , 1970 .

[10]  M. Athans,et al.  On the stochastic control of linear systems with different information sets , 1971 .

[11]  M. Athans,et al.  Optimal limited state variable feedback controllers for linear systems , 1971 .

[12]  R. Kosut Suboptimal control of linear time-invariant systems subject to control structure constraints , 1970 .

[13]  C. Maffezzoni,et al.  Parameter Optimization in Decentralized Process Control: A Unified Setting for Multivariable Industrial Regulator Design , 1979 .

[14]  F. Saccomanno Sensitivity Analysis of the Characteristic Roots of a Linear Time-Invariant Dynamic System: Application to the Synthesis of Damping Actions in Electric Power Systems , 1975 .

[15]  N. Schiavoni,et al.  On the initialization problem in the parameter optimization of structurally constrained industrial regulators , 1981, 1981 20th IEEE Conference on Decision and Control including the Symposium on Adaptive Processes.

[16]  Riccardo Scattolini,et al.  A Computer-Aided Design Technique for Decentralized Process Controllers , 1981 .

[17]  G. Guardabassi,et al.  Optimal decentralized damping of low-frequency oscillations under control energy constraints , 1981 .