H∞ Tracking with Preview for Linear Systems with Impulsive Effects -State Feedback and Full Information Cases-

Stochastic Optimal Tracking with Preview for Linear Continuous-Time Markovian Jump Systems by Output Feedback

“…It is well known that, for design of tracking control systems, preview information of reference signals is very useful for improving the performance of the closed-loop systems, and much work has been done for preview control systems [2,9,10,[13][14][15][16][17]21,22,24].…”

“…In this paper we do not consider only fixed-preview case where information of reference signals is known until a fixed time interval ahead at the current time but also noncausal case where information of reference signals is known until the final time. The author has already presented the necessary and sufficient conditions for the solvability of the stochastic optimal tracking con--29 - It is well known that, for design of tracking control systems, preview information of reference signals is very useful for improving the performance of the closed-loop systems, and much work has been done for preview control systems [2,9,10,[13][14][15][16][17]21,22,24].…”

“…It is also very important to consider the effects of stochastic noise or uncertainties for tracking control systems, and so, by Gershon et al, the theory of stochastic H ∞ tracking with preview has been presented for linear continuousand discrete-time systems respectively [9,10]. Recently the author has extended their theory to linear impulsive systems [15,16]. All these research results are concerned with the no mode transition cases.…”

Noncausal Optimal Tracking of Linear Switched Systems

“…It is well known that, for design of tracking control systems, preview information of reference signals is very useful for improving the performance of the closed-loop systems, and much work has been done for preview control systems( [4,5,[7][8][9][10][11][12][13][14][15][16][17][18]). U. Shaked and C. E. de Souza have presented the H ∞ tracking theory with preview by a game theoretic approach( [17]).…”

“…Their theory can be restricted to optimal tracking theory and also extended to robust H ∞ tracking control theory( [18]) or stochastic H ∞ tracking control theory( [7][8][9]). Their theory has been applied to various types of systems, for example, continuous-time systems ([8, 17, 18]), discrete-time systems( [4,7]), impulsive systems ( [13][14][15][16]) and so on. In this paper we describe that their tracking theory can be applied to the switched systems.…”