Suboptimal control for bilinear systems is discussed by use of an extension of the linear-quadratic optimal control index. The design method of this bilinear suboptimal control system is presented. Its application to the moisture control of a paper-making process is given as an example. The simulation results show that this suboptimal control system functions very well. KEY WORDS Bilinear system Suboptimal control Paper-making process control
1 . INTRODUCTION
Bilinear systems (BLSs), as a special form of non-linear systems, have been studied widely in recent years. So far, research results have shown that many processes in the fields of socioeconomics, ecology and agriculture, biology, industry, etc. can be well described by bilinear Since Mohler4 discussed bang-bang control and minimal time control for bilinear systems in 1973, many researchers have worked on BLS optimal control problems. Jacobson' extended the linear-quadratic optimal controller to the BLS m i = I X = AX + C BiXUi and obtained the optimal control u;(x) = fXT(SBi + BjS)X, i = 1,2, ..
Banks and Kew discussed the single-input system X = AX + BXU, X(t0) = xo defining the objective function as tr to J(u) = 1 U * d t + XT(tf)FX(tf)