In societal applications of systems science where competition under conflicting interests is pertinent to, the decision making faces situations in which one must decide whether to cooperate or not with a competitor or opponent. Each of the opponents (‘players’) has as well as carries own missions within the society out. At least two if not more parties need to make decisions under fully or partially conflicting objectives when involved in a dispute or open conflict. By and large decisions must be made under risk, uncertainty, and incomplete or fuzzy information implying large amounts of linguistic and probabilistic information. For cases of two opponents, the synergy of fuzzy control approach and matrix games seems rather effective to represent and find solutions for such multi-criteria conflicting situations. The fuzzy procedure is used to take into account some of the subjective attitudes of the decision makers that are difficult to model using classical game theory.

A new synthesis design for nonlinear adaptive control of Static VAR Compensator for a single-machine infinite-bus system with SVC is derived and proved. The proposed method differs from the “traditional” adaptive back-stepping in both ways how the parameter estimator is constructed and the nonlinear gains are assigned. In comparison with the existing traditional adaptive back-stepping controller, the proposed approach does not follow the classical certainty-equivalence philosophy for the first time, thus yielding the novel parameter estimator and feedback controller dynamics in dealing with unknown parameters. Computer simulation experiments demonstrated that the proposed approach is considerably superior to the control synthesis based on “classical” adaptive back-stepping in terms of the properties of stability and parameter estimation. Results show that the proposed design almost completely recovers the performance of the “full-information” controller.

The globalization era world-wide involve mass communications and competition of conflicting interests, social and society interactions as well as various confrontations intrinsic to which are the negotiation processes based on information and decision analyses. This social system cybernetics emphasises for the mankind society at large the improvement society’s ability to manage uncertainty has become vitally important. Probability theory and information theory as well as fuzzy-set theory, and thereafter info-gap and risk-management models have contributed considerably to understanding social system cybernetics as well as an managing international conflicts and risks. By adopting the information as the third fundamental category next to those of energy and matter, and taking theories of complexity and complex systems as point of departure, it can be argued in favour of composite linguistic and probabilistic information as categorical concept in negotiations along with uncertainty management within organizational human-centred and social systems.

In this paper, the problems of isomorphic decomposition and controllability of a class of nonlinear systems possessing symmetries, on the basis of quotient systems, is studied. The isomorphic decomposition formations of these systems are derived. Finally, it is shown that controllability of the original systems can be determined by that of the subsystems, which are obtained through isomorphic decomposition. The corresponding sufficient and necessary conditions are given. Two new theoretical results have been proved.

A case study of two-level and setpoint-oriented controls in complex industrial heating plants has beencarried out. Task-oriented controls occur at command and supervision level in conjunction with human process operator, while set-point controls occur at regulation level of energy conversion and heating process. Thermal process in clay-brick kiln has been investigated and two levels control system implemented on the bases of these results. System for data acquisition, monitoring and management has been also implemented in factory for clay-brick productions “KIK” in Kumanovo, Republic of Macedonia.

An applications oriented control systems engineering approach for a class of well- posed thermal systems, e.g. industrial furnaces and ovens, that is consistent with most of theoretical results in systems and control sciences has been elaborated and tested in designing controls for several industrial-scale furnaces. It provides a methodology for iterative learning and resolving process identification and control design for multi-variable systems within a discrete convolution framework and using truncated k-time sequence matrices of characteristic input-output modes as well as their characteristic patterns and singular characteristic patterns, starting with standard non-parametric process time-domain models identified under operating conditions. Within computer process control environment and for practical engineering and maintenance reasons, digital implementations are sought in terms of partial steady-state decoupling and two-term laws or combination of certain MIMO and SISO controls. The pusher furnace in Skopje Steelworks is used to illustrate this methodological approach