论文信息 - Synthesis of optimally sensitive systems

Synthesis of optimally sensitive systems

The ideal design objective is an optimally adaptive control which yields an optimal performance index for all values of unknown plant parameters within a given domain. An optimally sensitive (neighboring optimum) control matches the optimally adaptive control to first order in the variations of the unknown plant parameters from a given nominal set of values, In this paper an analytical synthesis procedure for feedback controllers generating the optimally sensitive control is developed. The optimal sensitivity equations are derived for obtaining opthmal sensitivity functions which are the principal quantities involved in the synthesis. A numerical example is included.

[1] B. Paiewonsky. Optimal control - A review of theory and practice. , 1965 .

[2] P. V. Kokotovic,et al. Estimators for optimally sensitive systems , 1968 .

[3] H. Kelley. An optimal guidance approximation theory , 1964 .

[4] H. Kelley. Guidance theory and extremal fields , 1962 .

[5] D. Salmon,et al. Minimax Controller Design , 1968 .

[6] J Henry. Guidance Theorv and Extrema1 Fields , 1962 .

[7] A. Bryson,et al. Optimization and Control of Nonlinear Systems Using the Second Variation , 1963 .

[8] P. Dorato,et al. Application of game theory to the sensitivity design of optimal systems , 1967, IEEE Transactions on Automatic Control.

[9] Ronald Alfred Werner. Suboptimal Feedback Control of Systems with Random Parameters , 1966 .

[10] L. Kantorovich,et al. Functional analysis and applied mathematics , 1963 .

[11] R. E. Kalman,et al. Contributions to the Theory of Optimal Control , 1960 .

[12] A. Tustin. Automatic Control , 1951, Nature.

[13] K. Fu,et al. Feedback Control Which Preserves Optimality for Systems with Unknown Parameters , 1966 .

[14] N. G. Parke,et al. Ordinary Differential Equations. , 1958 .

[15] Michael Athans,et al. The status of optimal control theory and applications for deterministic systems , 1966 .