Engineering topics
Publications and source records attributed to Rhodes, I. B..
The formation of nonlinear filtering problems are discussed along with approaches to solving nonlinear filtering problems. An approach to the design and evaluation of the performance of suboptimal filters is presented in terms of upper and lower bounds.
The problem of optimal feedback control of uncertain discrete-time dynamic systems is considered where the uncertain quantities do not have a stochastic description but instead are known to belong to given sets. The problem is converted to a sequential minimax problem and dynamic programming is suggested as a general method for its solution. The notion of a sufficiently informative function, which parallels the notion of a sufficient statistic of stochastic optimal control, is introduced, and conditions under which the optimal controller decomposes into an estimator and an actuator are identified.
Linear dynamic system recursive state estimation for set-membership description of uncertainty under unknown input disturbances and observation errors
Closed-loop control of discrete time systems with uncertainty, discussing minimax reachability of target sets and tubes
Block decomposition of linear time invariant multivariable control systems
In this paper the problem of optimal feedback control of uncertain discrete-time dynamic systems is considered where the uncertain quantities do not have a stochastic description but instead are known to belong to given sets. The problem is converted to a sequential minimax problem and dynamic programming is suggested as a general method for its solution. The notion of a sufficiently informative function, which parallels the notion of a sufficient statistic of stochastic optimal control, is introduced, and conditions under which the optimal controller decomposes into an estimator and an actuator are identified.
Stochastic differential games with constrained state estimators, involving linear system, quadratic cost functional and white Gaussian noises corrupting output measurements
Nondeterministic differential games with imperfect state information, emphasizing linear system with quadratic cost functional and additive white Gaussian noise